Construction of ISS Lyapunov functions for Hamiltonian systems with multiple disturbances

被引：1

作者：

Hao, Sheng ^{[1
]}

Kobayashi, Yuh Yamashita Koichi ^{[1
]}

机构：

[1] Hokkaido Univ, Sapporo, Hokkaido, Japan

来源：

IFAC PAPERSONLINE | 2021年 / 54卷 / 14期

关键词：

Input to state stability; Nonlinear sytem; Hamiltonian system; ISS Lyapunov function; INTERCONNECTION;

D O I：

10.1016/j.ifacol.2021.10.366

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we proposed a way to construct a ISS Lyapunov function for a class of nonlinear mechanical Hamilton systems with a force disturbance and a velocity disturbance. The construction is based on several assumptions with respect to the system parameters, while those assumptions are easy to be satisfied in practical application. With this result, we can not only make the asymptotic stability analysis of nonlinear pH system easier, but also combine the research result with ISS small gain theorem to discuss the stability of systems in wider area. Copyright (C) 2021 The Authors.

引用

页码：281 / 286

页数：6

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