Dissipativity analysis of discrete-time Markovian jumping neural networks with time-varying delays

被引：5

作者：

Ali, M. Syed ^{[1
]}

Meenakshi, K. ^{[1
]}

Gunasekaran, N. ^{[1
]}

Murugan, Kadarkarai ^{[2
,3
]}

机构：

[1] Thiruvalluvar Univ, Dept Math, Vellore, Tamil Nadu, India

[2] Bharathiar Univ, Sch Life Sci, Div Entomol, Dept Zool, Coimbatore, Tamil Nadu, India

[3] Thiruvalluvar Univ, Vellore, Tamil Nadu, India

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2018年 / 24卷 / 06期

关键词：

Dissipativity; discrete-time; neural networks; Markovian jumping; time-varying delays; DISTRIBUTED DELAYS; PERIODIC-SOLUTIONS; STATE ESTIMATION; STABILITY; SYSTEMS;

D O I：

10.1080/10236198.2018.1433171

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the problem of dissipativity analysis for discrete- time Markovian jumping neural networks with time- varying delays. Based on an appropriate Lyapunov- Krasovskii functional and by using the latest free- weighting matrix method, a sufficient condition is established to ensure that the neural networks under consideration is strictly (Q, S, R)-. - dissipative. The derived conditions are presented in terms of linear matrix inequalities. A numerical example is presented to illustrate the effectiveness of the proposed results.

引用

页码：859 / 871

页数：13

共 25 条

[1] Exponential stability criterion for interval neural networks with discrete and distributed delays [J].

Chen, Hao ;

Zhong, Shouming ;

Shao, Jinliang .

APPLIED MATHEMATICS AND COMPUTATION, 2015, 250 :121-130

[2] Robust state estimation for discrete-time neural networks with mixed time-delays, linear fractional uncertainties and successive packet dropouts [J].

Kan, Xiu ;

Shu, Huisheng ;

Li, Zhenna .

NEUROCOMPUTING, 2014, 135 :130-138

[3] A new augmented Lyapunov-Krasovskii functional approach to exponential passivity for neural networks with time-varying delays [J].

Kwon, O. M. ;

Park, Ju H. ;

Lee, S. M. ;

Cha, E. J. .

APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (24) :10231-10238

[4] Adaptive neural network tracking design for a class of uncertain nonlinear discrete-time systems with unknown time-delay [J].

Li, Shu ;

Li, Da-Peng ;

Liu, Yan-Jun .

NEUROCOMPUTING, 2015, 168 :152-159

[5] An Impulsive Delay Inequality Involving Unbounded Time-Varying Delay and Applications [J].

Li, Xiaodi ;

Cao, Jinde .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (07) :3618-3625

[6] Stabilization of Delay Systems: Delay-Dependent Impulsive Control [J].

Li, Xiaodi ;

Song, Shiji .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (01) :406-411

[7] Stability of nonlinear differential systems with state-dependent delayed impulses [J].

Li, Xiaodi ;

Wu, Jianhong .

AUTOMATICA, 2016, 64 :63-69

[8] Impulsive differential equations: Periodic solutions and applications [J].

Li, Xiaodi ;

Bohner, Martin ;

Wang, Chuan-Kui .

AUTOMATICA, 2015, 52 :173-178

[9] Impulsive Control for Existence, Uniqueness, and Global Stability of Periodic Solutions of Recurrent Neural Networks With Discrete and Continuously Distributed Delays [J].

Li, Xiaodi ;

Song, Shiji .

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2013, 24 (06) :868-877

[10] On Passivity and Passification of Stochastic Fuzzy Systems With Delays: The Discrete-Time Case [J].

Liang, Jinling ;

Wang, Zidong ;

Liu, Xiaohui .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2010, 40 (03) :964-969

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