Nonlinear hyperbolic systems: Modeling, controllability and applications

Nonlinear hyperbolic systems: Modeling, controllability and applications

Nonlinear hyperbolic systems: Modeling, controllabiliy and applications The control theory of hyperbolic systems is an important topic in continuum and fluid mechanics. Networks of nonlinear hyperbolic systems arise in real world applications, e.g. planar or out-of-plane networks of vibrating strings, shearable beams, gas networks and shallow water systems. On these typical 1d hyperbolic networks, the mathematical modeling and particularly the…