Asymptotic controllability implies feedback stabilization

被引：420

作者：

Clarke, FH

Ledyaev, YS

Sontag, ED

Subbotin, AI

机构：

[1] UNIV MONTREAL,CTR RECH MATH,MONTREAL,PQ H3C 3J7,CANADA

[2] VA STEKLOV MATH INST,MOSCOW 117966,RUSSIA

[3] RUTGERS STATE UNIV,DEPT MATH,NEW BRUNSWICK,NJ 08903

[4] INST MATH & MECH,EKATERINBURG 620219,RUSSIA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1997年 / 42卷 / 10期

基金：

加拿大自然科学与工程研究理事会;

关键词：

control-Lyapunov functions; feedback; nonsmooth analysis; stabilization;

D O I：

10.1109/9.633828

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 shown that every asymptotically controllable system can be globally stabilized by means of some (discontinuous) feedback law. The stabilizing strategy is based on pointwise optimization of a smoothed version of a control-lyapunov function, iteratively sending trajectories into smaller and smaller neighborhoods of a desired equilibrium. A major technical problem, and one of the contributions of the present paper, concerns the precise meaning of ''solution'' when using a discontinuous controller.

引用

页码：1394 / 1407

页数：14

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