Infinite-dimensional port-Hamiltonian systems: a system node approach

被引：0

作者：

Philipp, Friedrich M. ^{[1
]}

Reis, Timo ^{[2
]}

Schaller, Manuel ^{[3
]}

机构：

[1] Tech Univ Ilmenau, Optimizat Based Control Grp, Weimarer Str, D-98696 Ilmenau, Germany

[2] Tech Univ Ilmenau, Syst Theory & Partial Differential Equat Grp, Weimarer Str, D-98696 Ilmenau, Germany

[3] Tech Univ Chemnitz, Fac Math, Reichenhainer Str, D-09126 Chemnitz, Germany

来源：

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2025年

关键词：

Port-Hamiltonian systems; Infinite-dimensional systems; System nodes; Boundary control; TIME AXIS; FORMULATION; STABILITY;

D O I：

10.1007/s00498-025-00412-0

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider an operator-theoretic approach to linear infinite-dimensional port-Hamiltonian systems. In particular, we use the theory of system nodes as reported by Staffans (Well-posed linear systems. Encyclopedia of mathematics and its applications, Cambridge University Press, Cambridge, UK, 2005) to formulate a suitable concept for port-Hamiltonian systems, which allows a unifying approach to systems with boundary as well as distributed control and observation. The concept presented in this article is further neither limited to parabolic nor hyperbolic systems, and it also covers partial differential equations on multi-dimensional spatial domains. Our presented theory is substantiated by means of several physical examples.

引用

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