Robust stability of discrete-time nonlinear system with time-delay

被引：1

作者：

Liu, XG ^{[1
]}

Wu, M ^{[1
]}

机构：

[1] Cent S Univ, Sch Informat Sci & Engn, Changsha 410083, Peoples R China

来源：

JOURNAL OF CENTRAL SOUTH UNIVERSITY OF TECHNOLOGY | 2005年 / 12卷 / Suppl 1期

关键词：

discrete-time system; time-delay; robust stability; linear matrix inequality;

D O I：

10.1007/s11771-005-0404-3

中图分类号：

TF [冶金工业];

学科分类号：

0806 ;

摘要：

The robustly asymptotical stability problem for discrete-time nonlinear systems with time-delay was investigated. Positive definite matrix are constructed through Lyapunov functional. With the identity transform, property of matrix inverse and S-procedure, a new sufficient condition independent of the size of time-delay for robust stability of discrete-time nonlinear systems with time-delay is established. With Schur complement, another equivalent sufficient condition for robust stability of discrete-time nonlinear systems with time-delay is given. Finally, a sufficient condition dependent on the size of time-delay for robust stability of discrete-time nonlinear systems with time-delay is obtained. A unified approach is used to cast the robust stability problem into a convex optimization involving linear matrix inequalities.

引用

页码：227 / 231

页数：5

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