Stability analysis of discrete-time fuzzy positive systems with time delays

被引：6

作者：

Wu, Yang ^{[1
]}

Luo, Heng ^{[1
]}

Zhang, Hongbin ^{[1
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Elect Engn, Ctr Nonlinear & Complex Syst, Chengdu 611731, Sichuan, Peoples R China

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2013年 / 25卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Fuzzy control; Fuzzy positive systems; time-delay; stability; linear programmings (LP); STABILIZATION; DESIGN;

D O I：

10.3233/IFS-120692

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper addresses stability analysis for fuzzy positive systems with time delays represented by Takagi-Sugeno type models. Based on the fuzzy linear Lyapunov functions or functionals, we give stability conditions for fuzzy positive systems with constant time delays. Based on the so-called solution trajectory approach, we give stability conditions for fuzzy positive systems with time-varying delays. All the stability results are delay independent and formulated as linear programmings (LPs) or linear matrix inequalities (LMIs) that are numerically feasible. This paper also discusses the conservatism for these different approaches. Moreover, this paper proposes some necessary conditions of stability for fuzzy positive systems with time delays.

引用

页码：893 / 905

页数：13

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