Stability of nonlinear asynchronous systems

被引：24
作者：
de la Pena, David Munoz
Christofides, Panagiotis D. [1 ]
机构：
[1] Univ Calif Los Angeles, Dept Chem & Biomol Engn, Los Angeles, CA 90095 USA
来源：
SYSTEMS & CONTROL LETTERS | 2008年 / 57卷 / 06期
基金：
美国国家科学基金会;
关键词：
asynchronous dynamical systems; nonlinear systems; lyapunov theory;
D O I：
10.1016/j.sysconle.2007.11.006
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 work, we focus on a class of nonlinear asynchronous systems defined by two different modes of operation, one stable and the other one unstable. The switching between the two modes of operation is driven by external asynchronous events. It is assumed that on any time interval of a given length, the maximum time in which the system evolves in the unstable mode is bounded. This property is given in the form of a rate constraint. Under this assumption, we study the behavior of this class of systems and provide existential results of conditions on this rate constraint under which various types of stability of the origin of the nonlinear asynchronous system can be assured. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：465 / 473
页数：9
相关论文
共 26 条
[1]   Finite-time stability of continuous autonomous systems [J].
Bhat, SP ;
Bernstein, DS .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 38 (03) :751-766
[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]   Asymptotic controllability implies feedback stabilization [J].
Clarke, FH ;
Ledyaev, YS ;
Sontag, ED ;
Subbotin, AI .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (10) :1394-1407
[4]   Perspectives and results on the stability and stabilizability of hybrid systems [J].
DeCarlo, RA ;
Branicky, MS ;
Pettersson, S ;
Lennartson, B .
PROCEEDINGS OF THE IEEE, 2000, 88 (07) :1069-1082
[5]  
DELAPENA DM, 2007, P AM CONTR C NEW YOR, P1729
[6]  
DELAPENA DM, 2007, P AM CONTR C NEW YOR, P1735
[7]   Asynchronous hybrid systems with jumps - analysis and synthesis methods [J].
Dullerud, GE ;
Lall, S .
SYSTEMS & CONTROL LETTERS, 1999, 37 (02) :61-69
[8]   STOCHASTIC STABILITY PROPERTIES OF JUMP LINEAR-SYSTEMS [J].
FENG, XB ;
LOPARO, KA ;
JI, YD ;
CHIZECK, HJ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (01) :38-53
[9]  
Hassibi A., 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), P1345, DOI 10.1109/CDC.1999.830133
[10]  
Hespanha J. P., 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), P2655, DOI 10.1109/CDC.1999.831330
123