The stability analysis of abstract Takagi-Sugeno fuzzy impulsive system

被引：7
作者：
Slyn'ko, V. I. [1 ]
Denysenko, V. S. [2 ]
机构：
[1] NAS Ukraine, SP Timoshenko Inst Mech, Stabil Proc Dept, MSP, UA-03680 Kiev 57, Ukraine
[2] Cherkassy Natl Univ, Dept Econ Cybernet, Cherkassy, Ukraine
来源：
FUZZY SETS AND SYSTEMS | 2014年 / 254卷
关键词：
Abstract Takagi-Sugeno fuzzy impulsive system; Hybrid fuzzy system; Locally-linear differential equation; Comparison method; Asymptotic stability; CHAOTIC SYSTEMS; MODEL; SYNCHRONIZATION;
D O I：
10.1016/j.fss.2014.02.019
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper based on the comparison method the sufficient conditions of stability in terms of the two measures of abstract locally-linear impulsive differential equation with unbounded operator coefficients (an abstract Takagi-Sugeno fuzzy impulsive system) have been derived. As an application of the obtained results the locally-linear impulsive system (hybrid T-S fuzzy system) has been considered. An example of impulsive nonperiodic finite-dimension T-S fuzzy system with unstable structural matrices was constructed. It is shown that zero solution of such T-S fuzzy system could be asymptotically stable in cone. The simulations results of example demonstrate the effectiveness of proposed approach. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码：67 / 82
页数：16
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