非光滑控制Lyapunov函数及非线性切换系统的镇定问题

数学季刊 ›› 2007, Vol. 22 ›› Issue (4): 586-591.

非光滑控制Lyapunov函数及非线性切换系统的镇定问题

Department of Mathematics,Zhongyuan Institute of Technology,Zhengzhou 450007,China

收稿日期:2005-09-26 出版日期:2007-12-30 发布日期:2023-10-23
作者简介: CHEN Jin-huan(1964-), female, native of Lankao, Henan, an associate professor of Zhongyuan Institute of Technology, engages in nonlinear systems.
基金资助:
Supported by the NSF of Commission of Education of Henan Province(200510459002)；

Nonsmooth Control-Lyapunov Function and Stabilization of Nonlinear Switching Systems

Department of Mathematics,Zhongyuan Institute of Technology,Zhengzhou 450007,China

Received:2005-09-26 Online:2007-12-30 Published:2023-10-23
About author: CHEN Jin-huan(1964-), female, native of Lankao, Henan, an associate professor of Zhongyuan Institute of Technology, engages in nonlinear systems.
Supported by:
Supported by the NSF of Commission of Education of Henan Province(200510459002)；

摘要/Abstract

摘要： In this paper we consider general nonlinear switching systems.Under an addi- tional assumption,we prove that there exists a state space depending switching rule which stabilizes the system in a very general sense.

关键词: stabilization, switched systems, nonlinear systems, krasowski solutions, control Lyapunov function

Abstract: In this paper we consider general nonlinear switching systems.Under an addi- tional assumption,we prove that there exists a state space depending switching rule which stabilizes the system in a very general sense.

Key words: stabilization, switched systems, nonlinear systems, krasowski solutions, control Lyapunov function

中图分类号:

O231.2

陈金环, 高永良. 非光滑控制Lyapunov函数及非线性切换系统的镇定问题[J]. 数学季刊, 2007, 22(4): 586-591.

CHEN Jin-huan, GAO Yong-liang. Nonsmooth Control-Lyapunov Function and Stabilization of Nonlinear Switching Systems[J]. Chinese Quarterly Journal of Mathematics, 2007, 22(4): 586-591.

[1]	张兵, 梁童. 慢变线性切换系统的镇定[J]. 数学季刊, 2012, 27(1): 18-23.
[2]	张志平, 王建平. 动力系统的稳定化问题[J]. 数学季刊, 2006, 21(1): 80-84.
[3]	. [J]. 数学季刊, 2005, 20(3): 280-288.
[4]	张新政, 邓则明. The Structure and Stabilization Decom position of Linear Interconnected ControlSystem swith Multidelays[J]. 数学季刊, 1998, 13(4): 53-58.