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

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

页码：370 / 379

页数：10

共 54 条

[1] Aghababa M. P., 2014, NONLINEAR DYNAM, V75
[2] Aghababa M. P., 2014, T I MEAS CONTROL, V36
[3] Control of non-integer-order dynamical systems using sliding mode scheme
Aghababa, Mohammad Pourmahmood
[J]. COMPLEXITY, 2016, 21 (06) : 224 - 233
[4] Fractional modeling and control of a complex nonlinear energy supply-demand system
Aghababa, Mohammad Pourmahmood
[J]. COMPLEXITY, 2015, 20 (06) : 74 - 86
[5] Design of hierarchical terminal sliding mode control scheme for fractional-order systems
Aghababa, Mohammad Pourmahmood
[J]. IET SCIENCE MEASUREMENT & TECHNOLOGY, 2015, 9 (01) : 122 - 133
[6] Synchronization and stabilization of fractional second-order nonlinear complex systems
Aghababa, Mohammad Pourmahmood
[J]. NONLINEAR DYNAMICS, 2015, 80 (04) : 1731 - 1744
[7] A Lyapunov-based control scheme for robust stabilization of fractional chaotic systems
Aghababa, Mohammad Pourmahmood
[J]. NONLINEAR DYNAMICS, 2014, 78 (03) : 2129 - 2140
[8] Chaotic Fractional-Order Model for Muscular Blood Vessel and its Control via Fractional Control Scheme
Aghababa, Mohammad Pourmahmood
Borjkhani, Mehdi
[J]. COMPLEXITY, 2014, 20 (02) : 37 - 46
[9] Control of Fractional-Order Systems Using Chatter-Free Sliding Mode Approach
Aghababa, Mohammad Pourmahmood
[J]. JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2014, 9 (03):
[10] A fractional-order controller for vibration suppression of uncertain structures
Aghababa, Mohammad Pourmahmood
[J]. ISA TRANSACTIONS, 2013, 52 (06) : 881 - 887

← 1 2 3 4 5 6 →