Finite-time Stability and Finite-time Boundedness for Switched Systems with Sector Bounded Nonlinearities

被引:0
作者
Lin Xiangze [1 ]
Lv Chengxu [1 ]
Li Shihua [2 ]
Zou Yun [3 ]
机构
[1] Nanjing Agr Univ, Coll Engn, Jiangsu Key Lab Intelligent Agr Equipment, Nanjing 210031, Jiangsu, Peoples R China
[2] Southeast Univ, Sch Automat, Nanjing 210096, Jiangsu, Peoples R China
[3] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China
来源
2015 34TH CHINESE CONTROL CONFERENCE (CCC) | 2015年
关键词
Switched Nonlinear Systems; Sector Bounded Nonlinearities; Finite-time Boundedness; Multiple Lyapunov-like Functions; LINEAR-SYSTEMS; PRACTICAL STABILITY; L-2-GAIN ANALYSIS; HYBRID SYSTEMS; DELAY SYSTEMS; STABILIZATION; DESIGN; UNCERTAINTIES;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A switched system with sector bounded nonlinearities is a precisely unified model to describe many kinds of practical systems. However, up to now, only Lyapunov asymptotically stability of the system has been discussed. Moreover, the existing results of stability analysis and controller design for this kind of systems are under some conservative assumptions. In this paper, finite-time stability and finite-time boundedness for switched systems with sector bounded nonlinearities are studied. Sufficient conditions which guarantee the systems finite-time stable or finite-time bounded are presented. These conditions are given in terms of linear matrix inequalities. Average dwell time of switching signals is also given such that the switched nonlinear systems are finite-time bounded or finite-time stable. Detail proofs are accomplished by using multiple Lyapunov-like functions.
引用
收藏
页码:651 / 656
页数:6
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