Memory-Based Lyapunov Functions and Path-complete Framework: Equivalence and Properties

被引：1

作者：

Della Rossa, Matteo ^{[1
]}

Jungers, Raphael M. ^{[1
]}

机构：

[1] UCLouvain, ICTEAM, Louvain La Neuve, Belgium

来源：

2022 10TH INTERNATIONAL CONFERENCE ON SYSTEMS AND CONTROL (ICSC) | 2022年

基金：

欧洲研究理事会;

关键词：

D O I：

10.1109/ICSC57768.2022.9993958

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, in the framework of stability analysis of switched systems, we review and analyze multiple Lyapunov functions structures. We formalize and study a class of Lyapunov functions that do not only depend on the state, but also on the past switching sequence, the "memory", in a general language-theory setting. We recall and extend an equivalence result between these stability criteria and a class of combinatorial Lyapunov techniques, also known as path-complete Lyapunov functions. We provide the dual results based on the knowledge/prediction of the future values of the switching signals and we illustrate our techniques via numerical examples.

引用

页码：12 / 17

页数：6

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