NEW APPROACH TO EXPONENTIAL STABILITY ANALYSIS AND STABILIZATION FOR DELAYED T-S FUZZY MARKOVIAN JUMP SYSTEMS

被引：0

作者：

Cui, L. ^{[1
]}

Liu, Y. ^{[2
]}

Wang, Y. ^{[2
]}

Duan, D. ^{[2
]}

机构：

[1] Shanghai Inst Technol, Sch Comp Sci & Informat Engn, 100 Haiquan Rd, Shanghai 201418, Peoples R China

[2] Shanghai Jiao Tong Univ, Sch Aeronaut & Astronaut, 800 Dongchuan Rd, Shanghai 200240, Peoples R China

来源：

IRANIAN JOURNAL OF FUZZY SYSTEMS | 2016年 / 13卷 / 05期

关键词：

Delay-dependent exponential stability and stabilization; Fuzzy systems; Lyapunov-Krasovskii functional; Markovian jump systems; Mode-dependent time delay; H-INFINITY CONTROL; STOCHASTIC NONLINEAR-SYSTEMS; TIME-VARYING DELAYS; ROBUST STABILIZATION; CONTROLLER-DESIGN;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with delay-dependent exponential stability analysis and stabilization for continuous-time T-S fuzzy Markovian jump systems with mode-dependent time-varying delay. By constructing a novel Lyapunov-Krasovskii functional and utilizing some advanced techniques, less conservative conditions are presented to guarantee the closed-loop system is mean-square exponentially stable. Then, the stabilization conditions are derived and the fuzzy controller can be obtained by solving a set solutions of LMIs. The upper bound of time-delay that the system can be stabilized is given by using an optimal algorithm. Two examples are presented to illustrate the effectiveness and potential of our methods.

引用

页码：1 / 19

页数：19

共 31 条

[1] Robust asymptotic stability of fuzzy Markovian jumping genetic regulatory networks with time-varying delays by delay decomposition approach [J].

Balasubramaniam, P. ;

Sathy, R. .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (02) :928-939

[2]

Balasubramaniam P., 2012, INT J SYST SCI, P1

[3]

Banu LJ, 2015, IRAN J FUZZY SYST, V12, P1

[4] Robust stability and stabilization analysis for discrete-time randomly switched fuzzy systems with known sojourn probabilities [J].

Banu, L. Jarina ;

Balasubramaniam, P. .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2015, 17 :128-143

[5] Delay-dependent robust stability and H∞ control of jump linear systems with time-delay [J].

Boukas, EK ;

Liu, ZK ;

Liu, GX .

INTERNATIONAL JOURNAL OF CONTROL, 2001, 74 (04) :329-340

[6]

Dong JX, 2007, INT J CONTROL AUTOM, V5, P712

[7] New results on stabilization of Markovian jump systems with time delay [J].

Fei, Zhongyang ;

Gao, Huijun ;

Shi, Peng .

AUTOMATICA, 2009, 45 (10) :2300-2306

[8] Further Results on Exponential Estimates of Markovian Jump Systems With Mode-Dependent Time-Varying Delays [J].

Gao, Huijun ;

Fei, Zhongyang ;

Lam, James ;

Du, Baozhu .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (01) :223-229

[9] Discretized Lyapunov functional for systems with distributed delay and piecewise constant coefficients [J].

Gu, KQ ;

Han, QL ;

Luo, ACJ ;

Niculescus, SI .

INTERNATIONAL JOURNAL OF CONTROL, 2001, 74 (07) :737-744

[10] Robust fuzzy design for nonlinear uncertain stochastic systems via sliding-mode control [J].

Ho, Daniel W. C. ;

Niu, Yugang .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2007, 15 (03) :350-358

← 1 2 3 4 →