Input-to-state Stability for a Class of Nonlinear Switched Systems by Minimum Dwell Time Method

被引：0
作者：
Guo Rongwei [1 ,2 ]
Wang Yuzhen [1 ]
机构：
[1] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China
[2] Shandong Polytech Univ, Sch Sci, Jinan 250353, Peoples R China
来源：
PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE | 2012年
基金：
中国国家自然科学基金;
关键词：
Nonlinear switched system; Input-to-state stability; Minimum dwell time; LYAPUNOV FUNCTIONS;
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：
This paper investigates the input-to-state stability for a class of nonlinear switched systems. First, a minimum dwell time (MDT) method is established for the stability by the 2-norm technique. Second, based on the MDT method several new results to the stability analysis are obtained. In comparison with the previous results, not only the main results in this paper are concise, but also the minimum dwell time is smaller than that obtained by other methods. Finally, an illustrative example is studied to show the correctness and validity of our results.
引用
收藏
页码：1383 / 1386
页数：4
相关论文
共 21 条
[1]   Input-to-state stability for a class of Lurie systems [J].
Arcak, M ;
Teel, A .
AUTOMATICA, 2002, 38 (11) :1945-1949
[2]   Multiple Lyapunov functions and other analysis tools for switched and hybrid systems [J].
Branicky, MS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) :475-482
[3]   Characterizations of input-to-state stability for hybrid systems [J].
Cai, Chaohong ;
Teel, Andrew R. .
SYSTEMS & CONTROL LETTERS, 2009, 58 (01) :47-53
[4]   Input-to-state stability and integral input-to-state stability of nonlinear impulsive systems with delays [J].
Chen, Wu-Hua ;
Zheng, Wei Xing .
AUTOMATICA, 2009, 45 (06) :1481-1488
[5]   Limits of input-to-state stability [J].
Colonius, F ;
Kliemann, W .
SYSTEMS & CONTROL LETTERS, 2003, 49 (02) :111-120
[6]   Stability analysis and control synthesis for switched systems: A switched Lyapunov function approach [J].
Daafouz, J ;
Riedinger, P ;
Iung, C .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (11) :1883-1887
[7]   A converse Lyapunov theorem for a class of dynamical systems which undergo switching [J].
Dayawansa, WP ;
Martin, CF .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (04) :751-760
[8]   Global analysis of piecewise linear systems using impact maps and surface Lyapunov functions [J].
Gonçalves, JM ;
Megretski, A ;
Dahleh, MA .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (12) :2089-2106
[9]  
Guo R., 2013, ASIAN J CONTROL, V15, P1
[10]  
Guo R., CONTROL DEC IN PRESS
123