Theoretical analysis establishes sufficient conditions for BIBO stability in 1-D hyperbolic boundary control systems, indicating direct verification via matrix parameters.
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 that rely on tests for the systems defining matrix parameters.
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Schwenninger et al. (2026) studied this question.
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