A geometric method for observability and accessibility of discrete impulsive nonlinear systems

被引：7

作者：

Zhao, Shouwei ^{[1
,2
]}

Sun, Jitao ^{[1
]}

机构：

[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

[2] Shanghai Univ Engn Sci, Coll Fundamental Studies, Shanghai 201620, Peoples R China

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2013年 / 44卷 / 08期

关键词：

impulse; discrete; differential geometry; observability; accessibility; TIME-SYSTEMS; GLOBAL-CONTROLLABILITY; STABILITY;

D O I：

10.1080/00207721.2012.659695

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 article is concerned with the observability and accessibility of discrete impulsive nonlinear systems. A geometric method based on the differential geometric analysis and Lie group investigation is proposed. The infinitesimal invariance principle in Lie group theory is extended to the case of discrete impulsive nonlinear systems. By characterising the infinitesimal principle in terms of the sequences of codistribution and distribution, explicit criteria for the local observability and local accessibility of the system are derived, respectively. Additionally, two examples are provided to show that the criteria are convenient to check.

引用

页码：1522 / 1532

页数：11

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