ON THE STABILIZATION IN FINITE-TIME OF LOCALLY CONTROLLABLE SYSTEMS BY MEANS OF CONTINUOUS TIME-VARYING FEEDBACK LAW

被引:108
作者
CORON, JM
机构
[1] Ecole Normale Superieure de Cachan, Cachan
关键词
STABILIZATION; TIME-VARYING FEEDBACK; CONTROLLABILITY;
D O I
10.1137/S0363012992240497
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
It is proven that, if for any positive time T, there exists an open-loop control u(a, t) depending continuously on the initial data a, vanishing for a = 0, and steering a small neighborhood of 0 into 0 in time T, then the control system can be locally stabilized in small time by means of continuous time-varying feedback law, provided that the dimension of the state space is at least 4 and the strong accessibility rank condition holds.
引用
收藏
页码:804 / 833
页数:30
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