A new Lyapunov-krasovskii methodology for coupled delay differential and difference equations

被引：69

作者：

Pepe, P. ^{[1
]}

Jiang, Z. -P.

Fridman, E.

机构：

[1] Univ Aquila, Dipartimento Ingn Elettr, I-67040 Laquila, Italy

[2] Polytech Univ, Six Metrotech Ctr, Dept Elect & Comp Engn, Brooklyn, NY 11201 USA

[3] Tel Aviv Univ, Dept Elect Engn Syst, IL-69978 Tel Aviv, Israel

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2008年 / 81卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1080/00207170701383780

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 a new Lyapunov-Krasovskii methodology for both the (local) asymptotic stability and the global asymptotic stability of non-linear coupled delay differential and difference equations is proposed. This methodology is based on the concept of input-to-state stability applied to the difference equation, for which a sufficient Lyapunov criterion is given, and on previous methodologies developed in the literature for linear delay descriptor systems.

引用

页码：107 / 115

页数：9

共 17 条

[1] Methods for linear systems of circuit delay differential equations of neutral type [J].

Bellen, A ;

Guglielmi, N ;

Ruehli, AE .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1999, 46 (01) :212-216

[2] Stability of linear descriptor systems with delay: a Lyapunov-based approach [J].

Fridman, E .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 273 (01) :24-44

[3] Input-output linearization with delay cancellation for nonlinear delay systems: the problem of the internal stability [J].

Germani, A ;

Manes, C ;

Pepe, P .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2003, 13 (09) :909-937

[4]

Gu K., 2003, CONTROL ENGN SER BIR, DOI 10.1007/978-1-4612-0039-0

[5]

Hale J.K., 1993, Introduction to Functional Differential Equations, DOI DOI 10.1007/978-1-4612-4342-7

[6] A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems [J].

Jiang, ZP ;

Mareels, IMY ;

Wang, Y .

AUTOMATICA, 1996, 32 (08) :1211-1215

[7] Input-to-state stability for discrete-time nonlinear systems [J].

Jiang, ZP ;

Wang, Y .

AUTOMATICA, 2001, 37 (06) :857-869

[8] A system-theoretic framework for a wide class of systems II: Input-to-output stability [J].

Karafyllis, Iasson .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 328 (01) :466-486

[9]

KOLMANOVSKI V, 1999, INTRO THEROY APPL FU

[10]

Niculescu SI, 2001, DELAY EFFECTS STABIL

← 1 2 →