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arXiv · 2210.11775

Asymptotic Stability of port-Hamiltonian Systems

Marcus Waurick·Hans Zwart
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Abstract

We characterise asymptotic stability of port-Hamiltonian systems by means of matrix conditions using well-known resolvent criteria from $C_0$-semigroup theory. The idea of proof is based on a recent characterisation of exponential stability established in [Trostorff, Waurick, arXiv:2201.10367], which was inspired by a structural observation concerning port-Hamiltonian systems from [Picard et al., arXiv:2106.10937, accepted in SIAM SICON]. We apply the result to study the asymptotic stability of a network of vibrating strings.

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Marcus Waurick, Hans Zwart. 2022-10-21. Asymptotic Stability of port-Hamiltonian Systems. https://arxiv.org/abs/2210.11775

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