@inbook{fe0d4d1d4fb64e4ca3c878fa24f15934,
title = "Asymptotic Stability of Port-Hamiltonian Systems",
abstract = "We characterise asymptotic stability of port-Hamiltonian systems by means of matrix conditions using well-known resolvent criteria from C0-semigroup theory. The idea of proof is based on a recent characterisation of exponential stability established in Trostorff and Waurick (Characterisation for Exponential Stability of port-Hamiltonian Systems, 2024), which was inspired by a structural observation concerning port-Hamiltonian systems from Picard et al. (SIAM J Control Optim 61(2):511–535, 2023). We apply the result to study the asymptotic stability of a network of vibrating strings.",
keywords = "2025 OA procedure, Infinite-dimensional systems theory, Port-Hamiltonian systems, Stability, C-Semigroup",
author = "Marcus Waurick and Hans Zwart",
note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.; Workshop on Systems Theory and PDEs 2022, WOSTAP ; Conference date: 18-07-2022 Through 22-07-2022",
year = "2024",
month = jun,
day = "24",
doi = "10.1007/978-3-031-64991-2_4",
language = "English",
isbn = "978-3-031-64990-5",
series = "Trends in Mathematics",
publisher = "Springer",
pages = "91--122",
booktitle = "Systems Theory and PDEs",
address = "Germany",
}