PRACTICAL STABILITY OF NONLINEAR TIME-VARYING CASCADE SYSTEMS

被引：73

作者：

Benabdallah, A. ^{[1
]}

Ellouze, I. ^{[1
]}

Hammami, M. A. ^{[1
]}

机构：

[1] Fac Sci Sfax, Dept Math, Sfax 3018, Tunisia

来源：

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2009年 / 15卷 / 01期

关键词：

Cascade systems; Lyapunov function; practical stability; UNIFORM ASYMPTOTIC STABILITY; GLOBAL STABILIZATION; THEOREM;

D O I：

10.1007/s10883-008-9057-5

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 practical stability problem of nonlinear time-varying cascade systems. We give some sufficient conditions that guarantee practical global uniform asymptotic stability and practical global uniform exponential stability of such dynamical systems.

引用

收藏

页码：45 / 62

页数：18

相关论文

共 20 条

[1] Uniform semiglobal practical asymptotic stability for non-autonomous cascaded systems and applications [J].

Chaillet, Antoine ;

Loria, Antonio .

AUTOMATICA, 2008, 44 (02) :337-347

[2] Necessary and sufficient conditions for uniform semiglobal practical asymptotic stability:: Application to cascaded systems [J].

Chaillet, Antoine ;

Loría, Antonio .

AUTOMATICA, 2006, 42 (11) :1899-1906

[3] BOUNDED CONTROLLERS FOR ROBUST EXPONENTIAL CONVERGENCE [J].

CORLESS, M ;

LEITMANN, G .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1993, 76 (01) :1-12

[4] GUARANTEED RATES OF EXPONENTIAL CONVERGENCE FOR UNCERTAIN SYSTEMS [J].

CORLESS, M .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1990, 64 (03) :481-494

[5]

Edwards HA, 2000, IEEE DECIS CONTR P, P3501, DOI 10.1109/CDC.2000.912246

[6] Stabilization of nonlinear cascade systems [J].

Ferfera, A ;

Hammami, MA .

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2000, 7 (01) :97-105

[7] Constructive Lyapunov stabilization of nonlinear cascade systems [J].

Jankovic, M ;

Sepulchre, R ;

Kokotovic, PV .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (12) :1723-1735

[8] SMALL-GAIN THEOREM FOR ISS SYSTEMS AND APPLICATIONS [J].

JIANG, ZP ;

TEEL, AR ;

PRALY, L .

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 1994, 7 (02) :95-120

[9]

Khalil H.K., 2002, Control of Nonlinear Systems

[10]

LIN Y, 2005, IFAC WORLD C PRAG