Finite-time stability of fractional-order stochastic singular systems with time delay and white noise

被引：44
|
作者：
Mathiyalagan, Kalidass [1 ]
Balachandran, Krishnan [1 ]
机构：
[1] Bharathiyar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India
来源：
COMPLEXITY | 2016年 / 21卷 / S2期
关键词：
finite-time stability; singular system; stochastic model; fractional-order system; white noise; H-INFINITY CONTROL; NEURAL-NETWORKS; DIFFERENTIAL-EQUATIONS; EVOLUTION EQUATIONS; DYNAMICAL-SYSTEMS; LINEAR-SYSTEMS; CONTROL SCHEME; JUMPS; CONTROLLABILITY; STABILIZATION;
D O I：
10.1002/cplx.21815
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, the finite-time stochastic stability of fractional-order singular systems with time delay and white noise is investigated. First the existence and uniqueness of solution for the considered system is derived using the basic fractional calculus theory. Then based on the Gronwall's approach and stochastic analysis technique, the sufficient condition for the finite-time stability criterion is developed. Finally, a numerical example is presented to verify the obtained theory. (c) 2016 Wiley Periodicals, Inc. Complexity 21: 370-379, 2016
引用
收藏
页码：370 / 379
页数：10
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