ON THE EXISTENCE OF CONTROL LYAPUNOV FUNCTIONS - GENERALIZATIONS OF VIDYASAGAR THEOREM ON NONLINEAR STABILIZATION

被引:4
|
作者
TSINIAS, J
机构
[1] Natl Technical Univ, Athens
关键词
CONTROL LYAPUNOV FUNCTIONS; STATE FEEDBACK STABILIZABILITY;
D O I
10.1137/0330049
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 paper the well-known Vidyasagar's theorem concerning the feedback stabilizability problem for interconnected control systems is generalized. In particular, sufficient conditions are provided for the existence of control Lyapunov functions that, according to the results of Artstein, Sontag, and Tsinias, guarantees asymptotic stabilization by means of a feedback law that is smooth, except possibly at the equilibrium at which it is wished to stabilize the system.
引用
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页码:879 / 893
页数:15
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