Complete Lyapunov functions of control systems

被引：15
作者：
Souza, Josiney A. [1 ]
机构：
[1] Univ Estadual Maringa, Dept Matemat, BR-87020900 Maringa, Parana, Brazil
来源：
SYSTEMS & CONTROL LETTERS | 2012年 / 61卷 / 02期
关键词：
Morse decomposition; Chain recurrence; Lyapunov function; SEMIFLOWS;
D O I：
10.1016/j.sysconle.2011.11.013
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, the notion of complete Lyapunov function of control systems is introduced. The purpose is to determine a continuous real-valued function that describes the global structure of the system. The existence of complete Lyapunov functions is proved for certain classes of affine control systems on compact manifolds. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：322 / 326
页数：5
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