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

被引:47
作者
Mathiyalagan, Kalidass [1 ]
Balachandran, Krishnan [1 ]
机构
[1] Bharathiyar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India
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
相关论文
共 54 条
  • [51] Mittag-Leffler stability of fractional-order Hopfield neural networks
    Zhang, Shuo
    Yu, Yongguang
    Wang, Hu
    [J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2015, 16 : 104 - 121
  • [52] Some remarks on stability of stochastic singular systems with state-dependent noise
    Zhang, Weihai
    Zhao, Yong
    Sheng, Li
    [J]. AUTOMATICA, 2015, 51 : 273 - 277
  • [53] Observer-based finite-time fuzzy H∞ control for discrete-time systems with stochastic jumps and time-delays
    Zhang, Yingqi
    Shi, Peng
    Nguang, Sing Kiong
    Karimi, Hamid Reza
    [J]. SIGNAL PROCESSING, 2014, 97 : 252 - 261
  • [54] Finite-time H a control for a class of Markovian jump delayed systems with input saturation
    Zhao, Junjie
    Shen, Hao
    Li, Bo
    Wang, Jing
    [J]. NONLINEAR DYNAMICS, 2013, 73 (1-2) : 1099 - 1110