A THEOREM ON GLOBAL STABILIZATION OF NONLINEAR-SYSTEMS BY LINEAR FEEDBACK

被引：153

作者：

TSINIAS, J

机构：

[1] National Technical University, Department of Mathematics, 157 73 Athens, Zografou Campus

来源：

SYSTEMS & CONTROL LETTERS | 1991年 / 17卷 / 05期

关键词：

NONLINEAR SYSTEMS; LINEAR FEEDBACK; GLOBAL EXPONENTIAL STABILIZATION; OBSERVER DESIGN;

D O I：

10.1016/0167-6911(91)90135-2

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 we investigate the global stabilizability problem for a wide class of single-input nonlinear systems whose the linearization at the equilibrium is controllable. We show that under general assumptions there exists a linear feedback law which globally exponentially stabilizes the system at its equilibrium. The proof of our main theorem is based on some ideas from a previous paper. We use the theorem to recover a recent result of Gauthier et al. concerning the observer design problem.

引用

页码：357 / 362

页数：6