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X-WR-CALDESC:FAU DCN-AvH. Chair for Dynamics, Control, Machine Learning and Numerics -Alexander von Humboldt Professorship
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DTSTART;TZID=Europe/Berlin:20220121T103000
DTEND;TZID=Europe/Berlin:20220121T113000
DTSTAMP:20211214T111125Z
CREATED:20211214
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SUMMARY:Modeling, simulation and control of multi-physical systems: A change of paradigm
DESCRIPTION:Speaker: Prof. Dr. Volker Mehrmann\nAffiliation: Technische Universität Berlin (Germany)\nOrganized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany)\nZoom meeting link\nMeeting ID: 648 3885 4576 | PIN: 672077\nAbstract. Most real world dynamical systems consist of subsystems from different physical domains, modeled by partial-differential equations, ordinary differential equations, algebraic equations, combined with input and output connections. To deal with such complex systems, in recent years the class of dissipative port-Hamiltonian (pH) systems has emerged as a very efficient new modeling methodology. The main reasons are that the network based interconnection of pH systems is again pH, Galerkin projection in PDE discretization and model reduction preserve the pH structure and the physical properties are encoded in the geometric properties of the flow as well as the algebraic properties of the equations. Furthermore, dissipative pH system form a very robust representation under structured perturbations and directly indicate Lyapunov functions for stability analysis.\nWe discuss dissipative pH systems and describe, how many classical models can be formulated in this class. We illustrate some of the nice algebraic properties, including local canonical forms, the formulation of an associated Dirac structure, and the local invariance under space-time dependent diffeomorphisms.\nThe results are illustrated with some real world examples.\nThis event on LinkedIn\n
URL:https://dcn.nat.fau.eu/events/modeling-simulation-and-control-of-multi-physical-systems-a-change-of-paradigm/
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CATEGORIES:FAU DCN-AvH Seminar
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