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Energy-based modeling, simulation, and control. Mathematical theory and algorithms for the solution of real-world problems – Volker Mehrmann (Technische Universität Berlin)

Abstract

Energy-based modeling via port-Hamiltonian systems is a relatively new paradigm in all areas of science and engineering. These systems have wonderful mathematical properties, concerning their analytic, geometric, and algebraic properties, but also with respect to their use in numerical algorithms for space-time discretization, model reduction, and control. We will introduce the model class and their mathematical properties and we illustrate their usefulness with several real-world applications.

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