QUADRATIC APPROXIMATION AND TIME-VARYING FEEDBACK LAWS

被引:4
作者
Coron, Jean-Michel [1 ]
Rivas, Ivonne [1 ]
机构
[1] Univ Pierre & Marie Curie Paris 6, Lab Jacques Louis Lions, UMR 7598, F-75005 Paris, France
关键词
stability; controllability; missing directions; ASYMPTOTIC STABILIZATION; CONTROLLABLE SYSTEMS;
D O I
10.1137/16M1063782
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We present a method to construct stabilizing time-varying feedback laws for a large class of systems. We apply our technique to several classical examples which do not satisfy the necessary Brockett condition or the Coron condition for stabilization by means of continuous stationary feedback laws.
引用
收藏
页码:3726 / 3749
页数:24
相关论文
共 23 条
[1]  
[Anonymous], 1966, Algebraic Topology
[2]  
Brockett RW., 1983, DIFFERENTIAL GEOMETR, V27, P181
[3]  
Coron J.-M., 2015, Proceedings of the 8th International Congress on Industrial and Applied Mathematics, P17
[4]  
Coron J. -M., 2007, MATH SURVEYS MONOGR, V136
[5]   LOCAL EXPONENTIAL STABILIZATION FOR A CLASS OF KORTEWEG-DE VRIES EQUATIONS BY MEANS OF TIME-VARYING FEEDBACK LAWS [J].
Coron, Jean-Michel ;
Rivas, Ivonne ;
Xiang, Shengquan .
ANALYSIS & PDE, 2017, 10 (05) :1089-1122
[6]   Explicit feedbacks stabilizing the attitude of a rigid spacecraft with two control torques [J].
Coron, JM ;
Kerai, EY .
AUTOMATICA, 1996, 32 (05) :669-677
[7]   LINEARIZED CONTROL-SYSTEMS AND APPLICATIONS TO SMOOTH STABILIZATION [J].
CORON, JM .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1994, 32 (02) :358-386
[8]  
Coron JM, 2004, J EUR MATH SOC, V6, P367
[9]   A NECESSARY CONDITION FOR FEEDBACK STABILIZATION [J].
CORON, JM .
SYSTEMS & CONTROL LETTERS, 1990, 14 (03) :227-232
[10]   GLOBAL ASYMPTOTIC STABILIZATION FOR CONTROLLABLE SYSTEMS WITHOUT DRIFT [J].
CORON, JM .
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 1992, 5 (03) :295-312