Authored Books

• Gugat, M. (2015). Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems. Basel: Birkhäuser.

Journal Articles

• Gazca Orozco, P.A., Süli, E., & Farrell, P. (2021). Finite element appoximation and augmented Lagrangian preconditioning for anisothermal implicitly-constituted non-Newtonian flow. Mathematics of Computation.
• Gugat, M., Martin, A., & Krug, R. (2021). Transient gas pipeline flow: analytical examples, numerical simulation and a comparison to the quasi-static approach. Optimization and Engineering. https://dx.doi.org/10.1007/s11081-021-09690-4
• Gugat, M., Giesselmann, J., & Kunkel, T. (2021). Exponential synchronization of a nodal observer for a semilinear model for the flow in gas networks. IMA Journal of Mathematical Control and Information. https://dx.doi.org/10.1093/imamci/dnab029
• Ko, D., & Zuazua, E. (2021). Model predictive control with random batch methods for a guiding problem. Mathematical Models & Methods in Applied Sciences, 31(8), 1569-1592. https://dx.doi.org/10.1142/S0218202521500329
• Coclite, G.M., De Nitti, N., Garavello, M., & Marcellini, F. (2021). VANISHING VISCOSITY FOR A 2 x 2 SYSTEM MODELING CONGESTED VEHICULAR TRAFFIC. Networks and Heterogeneous Media, 16(3), 413-426. https://dx.doi.org/10.3934/nhm.2021011
• Gugat, M., & Giesselmann, J. (2021). Boundary feedback stabilization of a semilinear model for the flow in star-shaped gas networks. Esaim-Control Optimisation and Calculus of Variations, 27. https://dx.doi.org/10.1051/cocv/2021061
• Bayen, A., Coron, J.-M., De Nitti, N., Keimer, A., & Pflug, L. (2021). Boundary Controllability and Asymptotic Stabilization of a Nonlocal Traffic Flow Model. Vietnam Journal of Mathematics. https://dx.doi.org/10.1007/s10013-021-00506-7
• Ervedoza, S., Marica, A., & Zuazua, E. (2016). Numerical meshes ensuring uniform observability of one-dimensional waves: Construction and analysis. IMA Journal of Numerical Analysis, 36(2), 503-542. https://dx.doi.org/10.1093/imanum/drv026
• Lu, Q., & Zuazua, E. (2014). Robust null controllability for heat equations with unknown switching control mode. Discrete and Continuous Dynamical Systems, 34(10), 4183-4210. https://dx.doi.org/10.3934/dcds.2014.34.4183
• Lazar, M., & Zuazua, E. (2014). Averaged control and observation of parameter-depending wave equations. Comptes Rendus Mathematique, 352(6), 497-502. https://dx.doi.org/10.1016/j.crma.2014.04.007
• Devore, R., & Zuazua, E. (2014). Recovery of an initial temperature from discrete sampling. Mathematical Models & Methods in Applied Sciences, 24(12), 2487-2501. https://dx.doi.org/10.1142/S0218202514500262
• Zuazua, E. (2014). Averaged control. Automatica, 50(12), 3077-3087. https://dx.doi.org/10.1016/j.automatica.2014.10.054
• Nersisyan, H., Dutykh, D., & Zuazua, E. (2014). Generation of 2D water waves by moving bottom disturbances. IMA Journal of Applied Mathematics, 80(4), 1235-1253. https://dx.doi.org/10.1093/imamat/hxu051
• Chaves-Silva, F.W., Rosier, L., & Zuazua, E. (2014). Null controllability of a system of viscoelasticity with a moving control. Journal De Mathematiques Pures Et Appliquees, 101(2), 198-222. https://dx.doi.org/10.1016/j.matpur.2013.05.009
• Trelat, E., & Zuazua, E. (2015). The turnpike property in finite-dimensional nonlinear optimal control. Journal of Differential Equations, 258(1), 81-114. https://dx.doi.org/10.1016/j.jde.2014.09.005
• Ignat, L.I., Pozo, A., & Zuazua, E. (2015). Large-time asymptotics, vanishing viscosity and numerics for 1-D scalar conservation laws. Mathematics of Computation, 84(294), 1633-1662. https://dx.doi.org/10.1090/s0025-5718-2014-02915-3
• Privat, Y., Trelat, E., & Zuazua, E. (2015). Complexity and regularity of maximal energy domains for the wave equation with fixed initial data. Discrete and Continuous Dynamical Systems, 35(12), 6133-6153. https://dx.doi.org/10.3934/dcds.2015.35.6133
• Lescarret, V., & Zuazua, E. (2015). Numerical approximation schemes for multi-dimensional wave equations in asymmetric spaces. Mathematics of Computation, 84(291), 119-152. https://dx.doi.org/10.1090/s0025-5718-2014-02887-1
• Casas, E., Vexler, B., & Zuazua, E. (2015). Sparse initial data identification for parabolic PDE and its finite element approximations. Mathematical Control and Related Fields, 5(3), 377-399. https://dx.doi.org/10.3934/mcrf.2015.5.377
• Fanelli, F., & Zuazua, E. (2015). Weak observability estimates for 1-D wave equations with rough coefficients. Annales de l'Institut Henri Poincaré - Analyse Non Linéaire, 32(2), 245-277. https://dx.doi.org/10.1016/j.anihpc.2013.10.004
• Privat, Y., Trelat, E., & Zuazua, E. (2015). Optimal Shape and Location of Sensors for Parabolic Equations with Random Initial Data. Archive for Rational Mechanics and Analysis, 216(3), 921-981. https://dx.doi.org/10.1007/s00205-014-0823-0
• Ervedoza, S., & Zuazua, E. (2015). Transmutation techniques and observability for time-discrete approximation schemes of conservative systems. Numerische Mathematik, 130(3), 425-466. https://dx.doi.org/10.1007/s00211-014-0668-3
• Marica, A., & Zuazua, E. (2015). Propagation of 1D Waves in Regular Discrete Heterogeneous Media: A Wigner Measure Approach. Foundations of Computational Mathematics, 15(6), 1571-1636. https://dx.doi.org/10.1007/s10208-014-9232-x
• Lecaros, R., & Zuazua, E. (2016). Control of 2D scalar conservation laws in the presence of shocks. Mathematics of Computation, 85(299), 1183-1224. https://dx.doi.org/10.1090/mcom/3015
• Privat, Y., Trelat, E., & Zuazua, E. (2016). Optimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains. Journal of the European Mathematical Society, 18(5), 1043-1111. https://dx.doi.org/10.4171/JEMS/608
• Fernandez-Cara, E., Lu, Q., & Zuazua, E. (2016). Null controllability of linear heat and wave equations with nonlocal spatial terms. SIAM Journal on Control and Optimization, 54(4), 2009-2019. https://dx.doi.org/10.1137/15M1044291
• Han, Z.-J., & Zuazua, E. (2016). Decay rates for 1-d heat-wave planar networks. Networks and Heterogeneous Media, 11(4), 655-692. https://dx.doi.org/10.3934/nhm.2016013
• Lu, Q., & Zuazua, E. (2016). Averaged controllability for random evolution Partial Differential Equations. Journal De Mathematiques Pures Et Appliquees, 105(3), 367-414. https://dx.doi.org/10.1016/j.matpur.2015.11.004
• Privat, Y., Trelat, E., & Zuazua, E. (2016). Randomised observation, control and stabilization of waves: [Based on the plenary lecture presented at the 86th Annual GAMM Conference, Lecce, Italy, March 24, 2015]. ZAMM - Zeitschrift für angewandte Mathematik und Mechanik, 96(5), 538-549. https://dx.doi.org/10.1002/zamm.201500181
• Lu, Q., & Zuazua, E. (2016). On the lack of controllability of fractional in time ODE and PDE. Mathematics of Control Signals and Systems, 28(2). https://dx.doi.org/10.1007/s00498-016-0162-9
• Zuazua, E. (2016). Stable observation of additive superpositions of Partial Differential Equations. Systems & Control Letters, 93, 21-29. https://dx.doi.org/10.1016/j.sysconle.2016.02.017
• Allahverdi, N., Pozo, A., & Zuazua, E. (2016). Numerical aspects of large-time optimal control of Burgers equation. Mathematical Modelling and Numerical Analysis, 50(5), 1371-1401. https://dx.doi.org/10.1051/m2an/2015076
• Biccari, U., & Zuazua, E. (2016). Null controllability for a heat equation with a singular inverse-square potential involving the distance to the boundary function. Journal of Differential Equations, 261(5), 2809-2853. https://dx.doi.org/10.1016/j.jde.2016.05.019
• Escobedo, R., Ibanez, A., & Zuazua, E. (2016). Optimal strategies for driving a mobile agent in a "guidance by repulsion" model. Communications in Nonlinear Science and Numerical Simulation, 39, 58-72. https://dx.doi.org/10.1016/j.cnsns.2016.02.017
• Beli, C.N., Ignat, L.I., & Zuazua, E. (2016). Dispersion for 1-D Schrödinger and wave equations with BV coefficients. Annales de l'Institut Henri Poincaré - Analyse Non Linéaire, 33(6), 1473-1495. https://dx.doi.org/10.1016/j.anihpc.2015.06.002
• Lazar, M., & Zuazua, E. (2016). Greedy controllability of finite dimensional linear systems. Automatica, 74, 327-340. https://dx.doi.org/10.1016/j.automatica.2016.08.010
• Choulli, M., & Zuazua, E. (2016). Lipschitz dependence of the coefficients on the resolvent and greedy approximation for scalar elliptic problems Dépendance Lipschitz des coefficients comme fonction de la résolvante et approximation greedy pour les problèmes elliptiques scalaires. Comptes Rendus Mathematique, 354(12), 1174-1187. https://dx.doi.org/10.1016/j.crma.2016.10.017
• Porretta, A., & Zuazua, E. (2017). Numerical hypocoercivity for the Kolmogorov equation. Mathematics of Computation, 86(303), 97-119. https://dx.doi.org/10.1090/mcom/3157
• Zuazua, E. (2017). Large time control and turnpike properties for wave equations. Annual Reviews in Control, 44, 199-210. https://dx.doi.org/10.1016/j.arcontrol.2017.04.002
• Privat, Y., Trelat, E., & Zuazua, E. (2017). Actuator design for parabolic distributed parameter systems with the moment method. SIAM Journal on Control and Optimization, 55(2), 1128-1152. https://dx.doi.org/10.1137/16M1058418
• Loheac, J., & Zuazua, E. (2017). Averaged controllability of parameter dependent conservative semigroups. Journal of Differential Equations, 262(3), 1540-1574. https://dx.doi.org/10.1016/j.jde.2016.10.017
• Biccari, U., Warma, M., & Zuazua, E. (2017). Local Elliptic Regularity for the Dirichlet Fractional Laplacian. Advanced Nonlinear Studies, 17(2), 387-409. https://dx.doi.org/10.1515/ans-2017-0014
• Loheac, J., Trelat, E., & Zuazua, E. (2017). Minimal controllability time for the heat equation under unilateral state or control constraints. Mathematical Models & Methods in Applied Sciences, 27(9), 1587-1644. https://dx.doi.org/10.1142/S0218202517500270
• Han, Z.-J., & Zuazua, E. (2017). Decay rates for elastic-thermoelastic star-shaped networks. Networks and Heterogeneous Media, 12(3), 461-488. https://dx.doi.org/10.3934/nhm.2017020
• Lu, Q., Zhang, X., & Zuazua, E. (2017). Null controllability for wave equations with memory. Journal De Mathematiques Pures Et Appliquees, 108(4), 500-531. https://dx.doi.org/10.1016/j.matpur.2017.05.001
• Biccari, U., Warma, M., & Zuazua, E. (2017). Addendum: Local Elliptic Regularity for the Dirichlet Fractional Laplacian. Advanced Nonlinear Studies, 17(4), 837-839. https://dx.doi.org/10.1515/ans-2017-6020
• Trelat, E., Zhang, C., & Zuazua, E. (2018). Steady-state and periodic exponential turnpike property for optimal control problems in hilbert spaces. SIAM Journal on Control and Optimization, 56(2), 1222-1252. https://dx.doi.org/10.1137/16M1097638
• Pighin, D., & Zuazua, E. (2018). Controllability under positivity constraints of semilinear heat equations. Mathematical Control and Related Fields, 8(3-4), 935-964. https://dx.doi.org/10.3934/mcrf.2018041
• Lissy, P., & Zuazua, E. (2018). Internal Controllability for Parabolic Systems Involving Analytic Non-local Terms. Chinese Annals of Mathematics Series B, 39(2), 281-296. https://dx.doi.org/10.1007/s11401-018-1064-6
• Alberto Fernandez, L., Mateos, M., Pola, C., Troeltzsch, F., & Zuazua, E. (2018). Preface: A tribute to professor Eduardo Casas on his 60th birthday. Mathematical Control and Related Fields, 8(1), i-ii. https://dx.doi.org/10.3934/mcrf.201801i
• Trelat, E., Zhu, J., & Zuazua, E. (2018). Allee optimal control of a system in ecology. Mathematical Models & Methods in Applied Sciences, 28(9), 1665-1697. https://dx.doi.org/10.1142/S021820251840002X
• Loheac, J., Trelat, E., & Zuazua, E. (2018). Minimal controllability time for finite-dimensional control systems under state constraints. Automatica, 96, 380-392. https://dx.doi.org/10.1016/j.automatica.2018.07.010
• Lissy, P., & Zuazua, E. (2019). Internal observability for coupled systems of linear partial differential equations. SIAM Journal on Control and Optimization, 57(2), 832-853. https://dx.doi.org/10.1137/17M1119160
• Bianchini, R., Gosse, L., & Zuazua, E. (2019). A two-dimensional flea on the elephant phenomenon and its numerical visualization. Multiscale Modeling & Simulation, 17(1), 137-166. https://dx.doi.org/10.1137/18M1179985
• Maity, D., Tucsnak, M., & Zuazua, E. (2019). Controllability of a class of infinite dimensional systems with age structure. Control and Cybernetics, 48(2), 231-260.
• Pouchol, C., Trelat, E., & Zuazua, E. (2019). Phase portrait control for 1D monostable and bistable reaction-diffusion equations. Nonlinearity, 32(3), 884-909. https://dx.doi.org/10.1088/1361-6544/aaf07e
• Hernandez-Santamaria, V., Lazar, M., & Zuazua, E. (2019). Greedy optimal control for elliptic problems and its application to turnpike problems. Numerische Mathematik, 141(2), 455-493. https://dx.doi.org/10.1007/s00211-018-1005-z
• Privat, Y., Trelat, E., & Zuazua, E. (2019). Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions. Calculus of Variations and Partial Differential Equations, 58(2). https://dx.doi.org/10.1007/s00526-019-1522-3
• Biccari, U., Ko, D., & Zuazua, E. (2019). Dynamics and control for multi-agent networked systems: A finite-difference approach. Mathematical Models & Methods in Applied Sciences, 29(4), 755-790. https://dx.doi.org/10.1142/S0218202519400050
• Maity, D., Tucsnak, M., & Zuazua, E. (2019). Controllability and positivity constraints in population dynamics with age structuring and diffusion. Journal De Mathematiques Pures Et Appliquees, 129, 153-179. https://dx.doi.org/10.1016/j.matpur.2018.12.006
• Morales-Hernandez, M., & Zuazua, E. (2019). Adjoint computational methods for 2D inverse design of linear transport equations on unstructured grids. Computational and Applied Mathematics, 38(4). https://dx.doi.org/10.1007/s40314-019-0935-0
• Geshkovski, B., & Zuazua, E. (2021). Controllability of one-dimensional viscous free boundary flows. SIAM Journal on Control and Optimization, 59(3), 1830-1850. https://dx.doi.org/10.1137/19M1285354
• Gugat, M., Schuster, M., Lang, J., & Strauch, E. (2021). Probabilistic constrained optimization on flow networks. Optimization and Engineering. https://dx.doi.org/10.1007/s11081-021-09619-x
• Gugat, M. (2019). Exact controllability of a string to rest with a moving boundary. Control and Cybernetics, 48(1), 69-87.
• Gugat, M. (2021). On the turnpike property with interior decay for optimal control problems. Mathematics of Control Signals and Systems. https://dx.doi.org/10.1007/s00498-021-00280-4
• Gugat, M., Hante, F.M., & Jin, L. (2020). Closed loop control of gas flow in a pipe: stability for a transient model. At-Automatisierungstechnik, 68(12), 1001-1010. https://dx.doi.org/10.1515/auto-2020-0071
• Esteve, C., & Zuazua, E. (2020). The inverse problem for Hamilton-jacobi equations and semiconcave envelopes. SIAM Journal on Mathematical Analysis, 52(6), 5627-5657. https://dx.doi.org/10.1137/20M1330130
• Monge, A., & Zuazua, E. (2020). Sparse source identification of linear diffusion–advection equations by adjoint methods. Systems & Control Letters, 145. https://dx.doi.org/10.1016/j.sysconle.2020.104801
• Lohéac, J., Trélat, E., & Zuazua, E. (2020). Nonnegative control of finite-dimensional linear systems. Annales de l'Institut Henri Poincaré - Analyse Non Linéaire. https://dx.doi.org/10.1016/j.anihpc.2020.07.004
• Gugat, M., & Schultz, R. (2018). Boundary Feedback Stabilization of the Isothermal Euler Equations with Uncertain Boundary Data. SIAM Journal on Control and Optimization, 56(2), 1491–1507. https://dx.doi.org/10.1137/16M1090156
• Ruiz-Balet, D., & Zuazua, E. (2020). Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations. Journal De Mathematiques Pures Et Appliquees. https://dx.doi.org/10.1016/j.matpur.2020.08.006
• Gugat, M., Farshbaf-Shaker, M.H., Holger, H., & Henrion, R. (2020). Optimal Neumann Boundary Control of a Vibrating String with Uncertain Initial Data and Probabilistic Terminal Constraints. SIAM Journal on Control and Optimization, 58(4), 2288-2311. https://dx.doi.org/10.1137/19M1269944
• Biccari, U., & Zuazua, E. (2020). A Stochastic Approach to the Synchronization of Coupled Oscillators. Frontiers in Energy Research, 8. https://dx.doi.org/10.3389/fenrg.2020.00115
• Yamakou, M. (2020). Chaotic synchronization of memristive neurons: Lyapunov function versus Hamilton function. Nonlinear Dynamics. https://dx.doi.org/10.1007/s11071-020-05715-2
• Lance, G., Trélat, E., & Zuazua, E. (2020). Shape turnpike for linear parabolic PDE models. Systems & Control Letters, 142. https://dx.doi.org/10.1016/j.sysconle.2020.104733
• Gugat, M., Schultz, R., & Schuster, M. (2020). CONVEXITY AND STARSHAPEDNESS OF FEASIBLE SETS IN STATIONARY FLOW NETWORKS. Networks and Heterogeneous Media, 15(2), 171-195. https://dx.doi.org/10.3934/nhm.2020008
• Spinola, M., Keimer, A., Segets, D., Leugering, G., & Pflug, L. (2020). Model-Based Optimization of Ripening Processes with Feedback Modules. Chemical Engineering & Technology, 43(5), 896-903. https://dx.doi.org/10.1002/ceat.201900515
• Ko, D., & Zuazua, E. (2020). Asymptotic behavior and control of a "guidance by repulsion" model. Mathematical Models & Methods in Applied Sciences. https://dx.doi.org/10.1142/S0218202520400047
• Cortés, J.C., Navarro-Quiles, A., Romero, J.V., Roselló, M.D., & Zuazua, E. (2019). Full probabilistic solution of a finite dimensional linear control system with random initial and final conditions. Journal of the Franklin Institute-Engineering and Applied Mathematics.
• Gugat, M., Mateos, M., & Troeltzsch, F. (2020). Exponential Stability for the Schlogl System by Pyragas Feedback. Vietnam Journal of Mathematics. https://dx.doi.org/10.1007/s10013-020-00382-7
• Biccari, U., Marica, A., & Zuazua, E. (2020). Propagation of One- and Two-Dimensional Discrete Waves Under Finite Difference Approximation. Foundations of Computational Mathematics. https://dx.doi.org/10.1007/s10208-020-09445-0
• Biccari, U., Warma, M., & Zuazua, E. (2020). Controllability of the one-dimensional fractional heat equation under positivity constraints. Communications on Pure and Applied Analysis, 19(4), 1949-1978. https://dx.doi.org/10.3934/cpaa.2020086
• Bayen, A.M., Keimer, A., Porter, E., & Spinola, M. (2019). Time-Continuous Instantaneous and Past Memory Routing on Traffic Networks: A Mathematical Analysis on the Basis of the Link-Delay Model. SIAM Journal on Applied Dynamical Systems, 18(4), 2143-2180. https://dx.doi.org/10.1137/19M1258980
• Hernández-Santamaría, V., & Zuazua, E. (2019). Controllability of shadow reaction-diffusion systems. Journal of Differential Equations. https://dx.doi.org/10.1016/j.jde.2019.10.012
• Gugat, M. (2019). A turnpike result for convex hyperbolic optimal boundary control problems. Pure and Applied Functional Analysis, 4(4), 849-866.
• Adelhütte, D., Aßmann, D., Gonzàlez Grandòn, T., Gugat, M., Heitsch, H., Liers, F.,... Wintergerst, D. (2020). Joint model of probabilistic/robust (probust) constraints with application to gas network optimization. Vietnam Journal of Mathematics. https://dx.doi.org/10.1007/s10013-020-00434-y
• Gugat, M., & Gerster, S. (2019). On the limits of stabilizability for networks of strings. Systems & Control Letters, 131. https://dx.doi.org/10.1016/j.sysconle.2019.104494
• Pflug, L., Spinola, M., & Keimer, A. (2018). NONLOCAL SCALAR CONSERVATION LAWS ON BOUNDED DOMAINS AND APPLICATIONS IN TRAFFIC FLOW. SIAM Journal on Mathematical Analysis, 50(6), 6271-6306. https://dx.doi.org/10.1137/18M119817X
• Gugat, M., & Steffensen, S. (2018). DYNAMIC BOUNDARY CONTROL GAMES WITH NETWORKS OF STRINGS. Esaim-Control Optimisation and Calculus of Variations, 24(4), 1789-1813. https://dx.doi.org/10.1051/cocv/2017082
• Gugat, M., & Hante, F. (2019). ON THE TURNPIKE PHENOMENON FOR OPTIMAL BOUNDARY CONTROL PROBLEMS WITH HYPERBOLIC SYSTEMS. SIAM Journal on Control and Optimization, 57(1), 264-289. https://dx.doi.org/10.1137/17M1134470
• Gugat, M., & Schuster, M. (2018). Stationary Gas Networks with Compressor Control and Random Loads: Optimization with Probabilistic Constraints. Mathematical Problems in Engineering, 2018. https://dx.doi.org/10.1155/2018/7984079
• Keimer, A., Pflug, L., & Spinola, M. (2018). Existence, uniqueness and regularity of multi-dimensional nonlocal balance laws with damping. Journal of Mathematical Analysis and Applications, 466(1), 18-55. https://dx.doi.org/10.1016/j.jmaa.2018.05.013
• Gugat, M., Rosier, L., & Perrolaz, V. (2018). Boundary stabilization of quasilinear hyperbolic systems of balance laws: exponential decay for small source terms. Journal of Evolution Equations. https://dx.doi.org/10.1007/s00028-018-0449-z
• Gugat, M., & Wintergerst, D. (2018). Transient flow in gas networks: Traveling waves. International Journal of Applied Mathematics and Computer Science, 28(2), 341–348. https://dx.doi.org/10.2478/amcs-2018-0025
• Leugering, G., Gugat, M., & Wang, K. (2017). NEUMANN BOUNDARY FEEDBACK STABILIZATION FOR A NONLINEAR WAVE EQUATION: A STRICT H-2-LYAPUNOV FUNCTION. Mathematical Control and Related Fields, 7(3), 419-448. https://dx.doi.org/10.3934/mcrf.2017015
• Gugat, M., Leugering, G., Martin, A., Schmidt, M., Sirvent, M., & Wintergerst, D. (2018). MIP-based instantaneous control of mixed-integer PDE-constrained gas transport problems. Computational Optimization and Applications, 70(1), 267-294. https://dx.doi.org/10.1007/s10589-017-9970-1
• Gugat, M., Leugering, G., Martin, A., Schmidt, M., Sirvent, M., & Wintergerst, D. (2018). Towards Simulation Based Mixed-Integer Optimization with Differential Equations. Networks, 72(1), 60-83. https://dx.doi.org/10.1002/net.21812
• Gugat, M., Leugering, G., & Wang, K. (2017). Neumann boundary feedback stabilization for a nonlinear wave equation: A strict H2-Lyapunov function. Mathematical Control and Related Fields, 7(3), 419 - 448. https://dx.doi.org/10.3934/mcrf.2017015
• Leugering, G., & Gugat, M. (2015). Time delay in optimal control loops for wave equations. Esaim-Control Optimisation and Calculus of Variations. https://dx.doi.org/10.1051/cocv/2015038
• Leugering, G., Pflug, L., & Spinola, M. (2016). Adjungierten-basierte Prozessoptimierung der Nanopartikel-Synthese. Chemie Ingenieur Technik, 88(9), 1366-1367. https://dx.doi.org/10.1002/cite.201650478
• Gugat, M., & Ulbrich, S. (2017). The isothermal Euler equations for ideal gas with source term: Product solutions, flow reversal and no blow up. Journal of Mathematical Analysis and Applications, 454(1), 439–452. https://dx.doi.org/10.1016/j.jmaa.2017.04.064
• Gugat, M., & Hante, F. (2017). Lipschitz Continuity of the Value Function in Mixed-Integer Optimal Control Problems. Mathematics of Control Signals and Systems, 29(3). https://dx.doi.org/10.1007/s00498-016-0183-4
• Gugat, M., Wintergerst, D., & Schultz, R. (2016). Networks of pipelines for gas with nonconstant compressibility factor: stationary states. Computational and Applied Mathematics. https://dx.doi.org/10.1007/s40314-016-0383-z
• Gugat, M., Trelat, E., & Zuazua, E. (2016). Optimal Neumann control for the 1D wave equation: Finite horizon, infinite horizon, boundary tracking terms and the turnpike property. Systems & Control Letters, 90, 61-70. https://dx.doi.org/10.1016/j.sysconle.2016.02.001
• Gugat, M., & Zuazua, E. (2016). Exact penalization of terminal constraints for optimal control problems. Optimal Control Applications & Methods, 37(3). https://dx.doi.org/10.1002/oca.2238
• Gugat, M. (2016). Exact Boundary Controllability for Free Traffic Flow with Lipschitz Continuous State. Mathematical Problems in Engineering, 2016, 11. https://dx.doi.org/10.1155/2016/2743251
• Gugat, M., Hante, F., Hirsch-Dick, M., & Leugering, G. (2015). STATIONARY STATES IN GAS NETWORKS. Networks and Heterogeneous Media, 10(2), 295-320. https://dx.doi.org/10.3934/nhm.2015.10.295
• Gugat, M., Keimer, A., Leugering, G., & Wang, Z. (2015). ANALYSIS OF A SYSTEM OF NONLOCAL CONSERVATION LAWS FOR MULTI-COMMODITY FLOW ON NETWORKS. Networks and Heterogeneous Media, 10(4), 749-785. https://dx.doi.org/10.3934/nhm.2015.10.749
• Gugat, M. (2015). EXPONENTIAL STABILIZATION OF THE WAVE EQUATION BY DIRICHLET INTEGRAL FEEDBACK. SIAM Journal on Control and Optimization, 53(1), 526-546. https://dx.doi.org/10.1137/140977023
• Gugat, M., & Tröltzsch, F. (2015). Boundary feedback stabilization of the Schlögl system. Automatica, 51, 192-199. https://dx.doi.org/10.1016/j.automatica.2014.10.106
• Gugat, M. (2014). Norm-minimal Neumann boundary control of the wave equation. Arabian Journal of Mathematics, 4(1), 41-58. https://dx.doi.org/10.1007/s40065-014-0110-9
• Gugat, M. (2014). Boundary feedback stabilization of the telegraph equation: Decay rates for vanishing damping term. Systems & Control Letters, 66, 72-84. https://dx.doi.org/10.1016/j.sysconle.2014.01.007

Book Contributions

• Marica, A., & Zuazua, E. (2014). Boundary stabilization of numerical approximations of the 1-D variable coefficients wave equation: A numerical viscosity approach. In Ronald Hoppe (Eds.), Optimization with PDE Constraints. (pp. 285-324). Springer Verlag.
• Lecaros, R., & Zuazua, E. (2014). Tracking control of 1D scalar conservation laws in the presence of shocks. In Vincenzo Ancona, Elisabetta Strickland (Eds.), Trends in Contemporary Mathematics. (pp. 195-219). Springer International Publishing.
• Porretta, A., & Zuazua, E. (2016). Remarks on long time versus steady state optimal control. In (pp. 67-89). Springer International Publishing.
• Lions, J.L., & Zuazua, E. (2017). A generic uniqueness result for the stokes system and its control theoretical consequences. In Paolo Marcellini, Giorgio G. Talenti, Edoardo Vesentini (Eds.), Partial Differential Equations and Applications: Collected Papers in Honor of Carlo Pucci. (pp. 221-235). CRC Press.
• Gosse, L., & Zuazua, E. (2017). Filtered gradient algorithms for inverse design problems of one-dimensional burgers equation. In Laurent Gosse, Roberto Natalini (Eds.), Innovative Algorithms and Analysis. (pp. 197-227). Springer International Publishing.
• Biccari, U., Warma, M., & Zuazua, E. (2018). Local regularity for fractional heat equations. In SEMA SIMAI Springer Series. (pp. 233-249). Springer International Publishing.
• Pighin, D., & Zuazua, E. (2019). Controllability Under Positivity Constraints of Multi-d Wave Equations. In Fatiha Alabau-Boussouira, Fabio Ancona, Alessio Porretta, Carlo Sinestrari (Eds.), Trends in Control Theory and Partial Differential Equations. (pp. 195-232). Springer International Publishing.
• Gugat, M., Schuster, M., & Zuazua, E. (2021). The Finite-Time Turnpike Phenomenon for Optimal Control Problems: Stabilization by Non-smooth Tracking Terms. In Grigory Sklyar, Alexander Zuyev (Eds.), Stabilization of Distributed Parameter Systems: Design Methods and Applications. (pp. 17-41). Springer Science and Business Media Deutschland GmbH.
• Gugat, M., Zuazua, E., & Schuster, M. (2021). The Finite-Time Turnpike Phenomenonfor Optimal Control Problems:Stabilization by Non-smooth TrackingTerms. In Grigory Sklyar, Alexander Zuyev (Eds.), Stabilization of Distributed Parameter Systems: Design Methods and Applications. (pp. 17-41). 6330 Cham, Switzerland: Springer Nature Switzerland AG.The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland.
• Spinola, M., Keimer, A., Segets, D., Pflug, L., & Leugering, G. (2020). Modeling, Simulation and Optimization of Process Chains. In Heinrich, Stefan (Eds.), Dynamic Flowsheet Simulation of Solids Processes. (pp. 549-578). Springer International Publishing.
• Gugat, M., & Herty, M. (2020). A New Model for Transient Flow in Gas Transportation Networks. In Pammy Manchanda; René Pierre Lozi; Abul Hasan Siddiqi (Eds.), Mathematical Modelling, Optimization, Analytic and Numerical Solutions. (pp. 147-156). Singapore: Springer Nature.
• Ruiz-Balet, D., & Zuazua, E. (2019). A Parabolic Approach to the Control of Opinion Spreading. In Arkadi Berezovski, Tarmo Soomere (Eds.), Applied Wave Mathematics II. (pp. 343-363). Springer.

Conference Contributions

• Privat, Y., Trelat, E., & Zuazua, E. (2014). Optimal shape and location of sensors or actuators in PDE models. In Proceedings of the American Control Conference (pp. 4063-4068). USA: Institute of Electrical and Electronics Engineers Inc..
• Loheac, J., & Zuazua, E. (2016). Norm saturating property of time optimal controls for wave-type equations. This work was partially supported by Grants FA9550-14-1-0214 of the EOARD-AFOSR, FA9550-15-1-0027 of AFOSR and the MTM2014-52347 Grants of the MINECO (Spain). In IFAC-PapersOnLine (pp. 37-42). Elsevier B.V..
• Allahverdi, N., Pozo, A., & Zuazua, E. (2016). Numerical aspects of sonic-boom minimization. In Contemporary Mathematics (pp. 267-279). American Mathematical Society.
• Lance, G., Trelat, E., & Zuazua, E. (2019). Turnpike in optimal shape design. In Lukasz Jadachowski (Eds.), IFAC-PapersOnLine (pp. 496-501). Vienna, AT: Elsevier B.V..
• Sakamoto, N., Pighin, D., & Zuazua, E. (2019). The turnpike property in nonlinear optimal control - A geometric approach. In Proceedings of the IEEE Conference on Decision and Control (pp. 2422-2427). Nice, FR: Institute of Electrical and Electronics Engineers Inc..
• Esteve Yagüe, C., & Zuazua, E. (2020). The inverse problem for Hamilton-Jacobi equations and semiconcave envelopes. In Proceedings of the Workshop on Mathematical Analysis. Universidad de Alicante, ES.
• Keimer, A., Pflug, L., & Spinola, M. (2020). Nonlocal balance laws - results on existence, uniqueness and regularity. In AIMS Series on Applied Mathematics (Eds.), 10 (pp. 475-482). Pennsylvania State University, University Park (USA).

Miscellaneous

• Biccari, U., & Zuazua, E. (2020). A stochastic approach to the synchronization of coupled oscillators.
• Ruiz-Balet, D., & Zuazua, E. (2020). Control of certain parabolic models from biology and social sciences.
• Liard, T., & Zuazua, E. (2019). Inverse design for the one-dimensional Burgers equation.
• Lohéac, J., Trelat, E., & Zuazua, E. (2019). Nonnegative control of finite-dimensional linear systems.
• Jin, S., Zhu, Y., & Zuazua, E. (2019). The Vlasov-Fokker-Planck Equation with High Dimensional Parametric Forcing Term.
• Ruiz-Balet, D., Mazari, I., & Zuazua, E. (2019). Constrained control of bistable reaction-diffusion equations: Gene-flow and spatially heterogeneous models.
• Ruiz-Balet, D., & Zuazua, E. (2019). Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations.
• Geshkovski, B., & Zuazua, E. (2019). Controllability of one-dimensional viscous free boundary flows.

Unpublished Publications

• Gazca Orozco, P.A., & Patel, V. (2022). Weak-strong Uniqueness for Heat Conducting non-Newtonian Incompressible Fluids. (Unpublished, In review).
• Gazca Orozco, P.A. (2021). A semismooth Newton method for implicitly constituted non-Newtonian fluids and its application to the numerical approximation of Bingham flow. (Unpublished, Accepted).
• Gazca Orozco, P.A., Süli, E., & Farrell, P. (2021). Finite element appoximation and augmented Lagrangian preconditioning for anisothermal implicitly-constituted non-Newtonian flow. (Unpublished, Accepted).
• Ruiz-Balet, D., Affili, E., & Zuazua, E. (2022). Interpolation and approximation via Momentum ResNets and Neural ODEs. (Unpublished, Submitted).
• Sarac, Y., & Zuazua Iriondo, E. (2022). Sidewise control of 1-d waves. (Unpublished, Submitted).
• Veldman, D., & Zuazua Iriondo, E. (2022). A framework for randomized time-splitting in linear-quadratic optimal control. (Unpublished, Submitted).
• Wang, G., Zhang, Y., & Zuazua Iriondo, E. (2022). Flow decomposition for heat equations with memory. (Unpublished, Submitted).
• Biccari, U., & Zuazua Iriondo, E. (2022). Multilevel control by duality. (Unpublished, Submitted).
• Han, Z.-J., & Zuazua Iriondo, E. (2022). Slow decay and Turnpike for Infinite-horizon Hyperbolic LQ problems. (Unpublished, Submitted).
• Geshkovski, B., & Zuazua Iriondo, E. (2022). Optimal actuator design via Brunovsky’s normal form. (Unpublished, Submitted).
• Sakamoto, N., & Zuazua Iriondo, E. (2022). The turnpike property in nonlinear optimal control – A geometric approach. (Unpublished, Accepted).
• Ruiz-Balet, D., & Zuazua, E. (2022). Neural ODE Control for Classification, Approximation and Transport. (Unpublished, Submitted).
• Biccari, U., Warma, M., & Zuazua Iriondo, E. (2022). Control and Numerical approximation of Fractional Diffusion Equations. (Unpublished, Submitted).
• Wang, G., Zhang, Y., & Zuazua, E. (2022). Reachable subspaces, control regions and heat equations with memory. (Unpublished, Submitted).
• Heiland, J., & Zuazua Iriondo, E. (2022). Classical system theory revisited for Turnpike in standard state space systems and impulse controllable descriptor systems (2021) SIAM. J. Control. Optim. (Unpublished, Accepted).