Lyapunov equation for the stability of 2-D systems

被引：39

作者：

Bliman, PA ^{[1
]}

机构：

[1] Inst Natl Rech Informat & Automat, F-78153 Le Chesnay, France

来源：

MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING | 2002年 / 13卷 / 02期

关键词：

2-D systems; internal stability; quadratic Lyapunov functions; linear matrix inequalities;

D O I：

10.1023/A:1014492827670

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

An analogue of the characterization of asymptotic stability of the 1-D systems by the solvability of associated Lyapunov equation is proposed here for 2-D systems. It is shown that internal stability of Roesser model is equivalent to the feasibility of some linear matrix inequality (LMI), related to quadratic Lyapunov functions.

引用

页码：201 / 222

页数：22

共 19 条

[1] CONDITIONS FOR THE 2-D CHARACTERISTIC POLYNOMIAL OF A MATRIX TO BE VERY STRICT HURWITZ [J].

AGATHOKLIS, P .

IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1989, 37 (08) :1284-1286

[2]

AGATHOKLIS P, 1989, INT J CONTROL, V49, P417, DOI 10.1080/00207178908961254

[3] ALGEBRAIC NECESSARY AND SUFFICIENT CONDITIONS FOR THE STABILITY OF 2-D DISCRETE-SYSTEMS [J].

AGATHOKLIS, P ;

JURY, EI ;

MANSOUR, M .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-ANALOG AND DIGITAL SIGNAL PROCESSING, 1993, 40 (04) :251-258

[4] STABILITY AND THE MATRIX LYAPUNOV EQUATION FOR DISCRETE TWO-DIMENSIONAL SYSTEMS [J].

ANDERSON, BDO ;

AGATHOKLIS, P ;

JURY, EI ;

MANSOUR, M .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1986, 33 (03) :261-267

[5]

[Anonymous], 2001, P 40 IEEE C DEC CONT

[6] LMI characterization of the strong delay-independent stability of linear delay systems via quadratic Lyapunov-Krasovskii functionals [J].

Bliman, PA .

SYSTEMS & CONTROL LETTERS, 2001, 43 (04) :263-274

[7]

BLIMAN PA, 2001, P 5 IFAC S NONL CONT

[8]

BOYD S, 1994, SIAM STUDIES APPL MA, V15

[9] COMPUTATIONAL-COMPLEXITY OF MU-CALCULATION [J].

BRAATZ, RP ;

YOUNG, PM ;

DOYLE, JC ;

MORARI, M .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (05) :1000-1002

[10] 2-DIMENSIONAL DIGITAL-FILTERS WITH NO OVERFLOW OSCILLATIONS [J].

ELAGIZI, NG ;

FAHMY, MM .

IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1979, 27 (05) :465-469

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