一类非线性切换系统的输入状态稳定性

journal6 ›› 2007, Vol. 28 ›› Issue (2): 51-55.

一类非线性切换系统的输入状态稳定性

(南京理工大学自动化学院,江苏南京 210094)

出版日期:2007-03-25 发布日期:2012-06-18
作者简介:向峥嵘(1969-)，男，江苏南京人，南京理工大学自动化学院副教授，博士，主要从事非线性控制研究.
基金资助:
国家自然科学基金资助项目（60474034）

Input-State Stability Analysis for a Class of Switched Nonlinear Systems

(School of Automation,Nanjing University of Science and Technology,Nanjing 210094,China)

Online:2007-03-25 Published:2012-06-18

摘要/Abstract

摘要：基于李雅普诺夫函数方法，给出了无激励非线性切换系统一致有界和一致最终有界的充分条件.对具有任意有界输入的非线性切换系统，分析并给出了输入状态稳定性的充分条件，通过一个数值例子说明了研究结果的有效性.

关键词： 非线性切换系统, 输入状态稳定性, 一致有界, 一致最终有界, 多李雅普诺夫函数

Abstract: Using multiple Lyapunov functions,a sufficient condition is derived to ensure that the switched nonlinear systems are uniformly bounded and uniformly ultimate bounded.Then a sufficient condition of Input-State Stability (ISS) for switched nonlinear systems with bounded input is derived.Finally,a numerical example illustrates the effectiveness of the results proposed in this paper.

Key words: switched nonlinear systems, Input-State Stability (ISS), uniformly bounded, uniformly ultimate bounded, multiple Lyapunov functions

向峥嵘, 向伟铭. 一类非线性切换系统的输入状态稳定性[J]. journal6, 2007, 28(2): 51-55.

XIANG Zheng-Rong, XIANG Wei-Ming. Input-State Stability Analysis for a Class of Switched Nonlinear Systems[J]. journal6, 2007, 28(2): 51-55.

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