Dual matrix inequalities in stability and performance analysis of linear differential/difference inclusions

被引：43

作者：

Goebel, R ^{[1
]}

Hu, T ^{[1
]}

Teel, AR ^{[1
]}

机构：

[1] Univ Calif Santa Barbara, Ctr Control Engn & Computat, Santa Barbara, CA 93106 USA

来源：

CURRENT TRENDS IN NONLINEAR SYSTEMS AND CONTROL: IN HONOR OF PETAR KOKOTOVIC AND TURI NICOSIA | 2006年

关键词：

D O I：

10.1007/0-8176-4470-9_6

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This chapter provides numerical examples to illustrate the recent results by the authors relating asymptotic stability and dissipativity of a linear differential or difference inclusion to these properties for the corresponding dual linear differential or difference inclusion. It is shown how this duality theory broadens the applicability of numerical algorithms for stability and performance analysis that have appeared previously in the literature.

引用

页码：103 / +

页数：3

共 23 条

[1]

BERAN E, 1997, P EUR CONTR C BRUSS

[2] NONQUADRATIC LYAPUNOV FUNCTIONS FOR ROBUST-CONTROL [J].

BLANCHINI, F .

AUTOMATICA, 1995, 31 (03) :451-461

[3]

Boy S., 1994, Linear MatrixInequalities in System and Control Theory

[4] STABILITY OF DYNAMICAL-SYSTEMS - CONSTRUCTIVE APPROACH [J].

BRAYTON, RK ;

TONG, CH .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1979, 26 (04) :224-234

[5] Homogeneous Lyapunov functions for systems with structured uncertainties [J].

Chesi, G ;

Garulli, A ;

Tesi, A ;

Vicino, A .

AUTOMATICA, 2003, 39 (06) :1027-1035

[6] A converse Lyapunov theorem for a class of dynamical systems which undergo switching [J].

Dayawansa, WP ;

Martin, CF .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (04) :751-760

[7]

GOEBEL R, 2004, P 43 IEEE C DEC CONT

[8]

GOH K, 1994, P 33 IEEE C DEV CONT

[9]

Hassibi A., 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251), P1385, DOI 10.1109/ACC.1999.783595

[10]

HU T, 2004, P 43 IEEE C DEC CONT

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