A link between contractive and dissipative Hamiltonian systems

被引：0

作者：

Spirito, Mario ^{[1
]}

Maschke, Bernhard ^{[1
]}

Le Gorrec, Yann ^{[2
]}

机构：

[1] Univ Claude Bernard Lyon 1, F-69100 Villeurbanne, France

[2] CNRS FEMTO ST, SupMicrotec ENSMM, F-25000 Besancon, France

来源：

IFAC PAPERSONLINE | 2024年 / 58卷 / 21期

关键词：

Contractive systems; dissipative Hamiltonian dynamics; variational dynamics; modified Jordan form; structural matrices;

D O I：

10.1016/j.ifacol.2024.10.221

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper should be intended as a preliminary work in which we describe a connection between contractive systems and dissipative Hamiltonian dynamics. In particular, we show that it is always possible to obtain from the Jacobian of the autonomous system, given the contraction metric, the structural matrices of a Hamiltonian dynamics. We show how to obtain in closed-form such matrices for stable linear systems, by exploiting a modification of the Jordan block form. We then conclude the paper by analytically performing the analysis on an example of nonlinear contractive system. Copyright (c) 2024 The Authors. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/)

引用

页码：250 / 255

页数：6

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