A COMMON LYAPUNOV FUNCTION FOR STABLE LTI SYSTEMS WITH COMMUTING A-MATRICES

被引：486
|
作者：
NARENDRA, KS
BALAKRISHNAN, J
机构：
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1994年 / 39卷 / 12期
关键词：
D O I：
10.1109/9.362846
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The paper demonstrates that a common quadratic Lyapunov function exists for all linear systems of the form x = A(i)z, i = 1, 2,.., N, where the matrices A(i) are asymptotically stable and commute pairwise. This in turn assures the exponential stability of a switching system x(t) = A(t)x(t) where A(t) switches between the above constant matrices A(i).
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页码：2469 / 2471
页数：3
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