BIBO stability of 1-D hyperbolic boundary control systems

2024/10/16 by Felix L. Schwenninger, Schwenninger, Felix L., Alexander A. Wierzba +1
Engineering · Mathematics · Physics and Astronomy · #Control and Stability of Dynamical Systems #Numerical methods for differential equations #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2410.12697

Abstract

We study the question of bounded-input bounded-output (BIBO) stability of a class of 1-D hyperbolic boundary control systems, which, in particular, contains distributed port-Hamiltonian systems. Exploiting the particular structure of the transfer function of these systems, we derive several sufficient conditions for BIBO stability.

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