LaSalle-Yoshizawa Corollaries for Nonsmooth Systems

被引：185
作者：
Fischer, Nicholas [1 ]
Kamalapurkar, Rushikesh [1 ]
Dixon, Warren E. [1 ]
机构：
[1] Univ Florida, Dept Mech & Aerosp Engn, Gainesville, FL 32605 USA
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2013年 / 58卷 / 09期
基金：
美国国家科学基金会;
关键词：
LaSalle's Theorem; nonlinear control systems; sliding mode control; INTEGRAL-INVARIANCE-PRINCIPLE; FINITE-TIME STABILITY; LYAPUNOV FUNCTIONS; ASYMPTOTIC STABILITY; VARYING SYSTEMS; HYBRID; CONVERGENCE; ATTRACTORS; THEOREM;
D O I：
10.1109/TAC.2013.2246900
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 technical note, two generalized corollaries to the LaSalle-Yoshizawa Theorem are presented for nonautonomous systems described by nonlinear differential equations with discontinuous right-hand sides. Lyapunov-based analysis methods that achieve asymptotic convergence when the candidate Lyapunov derivative is upper bounded by a negative semi-definite function in the presence of differential inclusions are presented. A design example illustrates the utility of the corollaries.
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收藏
页码：2333 / 2338
页数：6
相关论文
共 60 条
[1]  
Alvarez J., 2000, J DYN SYST MEAS CONT, V74, P190
[2]  
[Anonymous], 2002, NONLINEAR SYSTEMS
[3]  
[Anonymous], 1995, NONLINEAR ADAPTIVE C
[4]  
[Anonymous], 1988, Differential Equations with Discontinuous Righthand Sides
[5]   UNIFORM ASYMPTOTIC STABILITY VIA LIMITING EQUATIONS [J].
ARTSTEIN, Z .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1978, 27 (02) :172-189
[6]  
Astolfi A, 2011, IEEE DECIS CONTR P, P320, DOI 10.1109/CDC.2011.6161174
[7]  
Aubin J.P., 1984, DIFFERENTIAL INCLUSI
[8]   Nonpathological Lyapunov functions and discontinuous Caratheodory systems [J].
Bacciotti, A ;
Ceragioli, F .
AUTOMATICA, 2006, 42 (03) :453-458
[9]   An invariance principle for nonlinear switched systems [J].
Bacciotti, A ;
Mazzi, L .
SYSTEMS & CONTROL LETTERS, 2005, 54 (11) :1109-1119
[10]  
Bacciotti A., 1999, ESAIM. Control, Optimisation and Calculus of Variations, V4, P361, DOI 10.1051/cocv:1999113
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