论文标题
哈米尔顿港系统的渐近稳定性
Asymptotic Stability of port-Hamiltonian Systems
论文作者
论文摘要
我们使用$ C_0 $ -Semigroup理论的众所周知的分解标准，通过矩阵条件来表征哈米顿港系统的渐近稳定性。证明的想法是基于在[Trostorff，Waurick，arxiv：2201.10367]中建立的指数稳定性的最新表征，该指数的灵感来自于[Picard等人，Arxiv：2106.10937，siam sicon]的结构观察。我们将结果应用于研究振动字符串网络的渐近稳定性。
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.
