Global feedback stabilization of new class of bilinear systems

被引：23

作者：

Jerbi, H ^{[1
]}

机构：

[1] Sfax Univ, Fac Sci, Dept Math, Sfax, Tunisia

来源：

SYSTEMS & CONTROL LETTERS | 2001年 / 42卷 / 04期

关键词：

bilinear systems; homogeneous feedbacks; stabilizability; nonnegative Lyapunov function;

D O I：

10.1016/S0167-6911(00)00101-8

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 consider some new classes of bilinear systems. We give necessary and sufficient conditions for the asymptotic stabilization by using homogeneous feedbacks. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：313 / 320

页数：8

共 9 条

[1] [Anonymous], 1967, STABILITY MOTION
[2] CHABOUR R, 1996, MATH CONTROL SIGNAL, P224
[3] ALGEBRAIC AND TOPOLOGICAL CLASSIFICATION OF THE HOMOGENEOUS CUBIC VECTOR-FIELDS IN THE PLANE
CIMA, A
LLIBRE, J
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1990, 147 (02) : 420 - 448
[4] A SEPARATION PRINCIPLE FOR BILINEAR-SYSTEMS WITH DISSIPATIVE DRIFT
GAUTHIER, JP
KUPKA, I
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (12) : 1970 - 1974
[5] Semidefinite Lyapunov functions stability and stabilization
Iggidr, A
Kalitine, B
Outbib, R
[J]. MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 1996, 9 (02) : 95 - 106
[6] IGGIDR A, 1999, 14 TRIENN IFAC WORLD, P231
[7] JERBI H, 1994, 2 IEEE MED S NEW DIR, P319
[8] CONTROLLABILITY AND STABILITY
JURDJEVIC, V
QUINN, JP
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1978, 28 (03) : 381 - 389
[9] ON ASYMPTOTICALLY STABILIZING FEEDBACK-CONTROL OF BILINEAR-SYSTEMS
RYAN, EP
BUCKINGHAM, NJ
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1983, 28 (08) : 863 - 864

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