Dissipativity of discrete-time BAM stochastic neural networks with Markovian switching and impulses |
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| Authors: | R Raja U Karthik Raja R Samidurai A Leelamani |
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| Institution: | 1. Ramanujan Centre for Higher Mathematics, Alagappa University, Karaikudi 630 004, India;2. Department of Mathematics, Anna University Regional Centre, Coimbatore 641 047, India;3. Department of Mathematics, Thiruvalluvar University, Vellore 632 115, India;1. Department of Mathematics, Gandhigram Rural Institute – Deemed University, Gandhigram 624 302, Tamilnadu, India;2. Nonlinear Dynamics Group, Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Kyongsan 712 749, Republic of Korea;1. Department of Mathematics, National Institute of Technology – Deemed University, Tiruchirappalli 620 015, Tamil Nadu, India;2. Department of Mathematics, Gandhigram Rural Institute – Deemed University, Gandhigram 624 302, Tamil Nadu, India;1. Department of Automation, TNList, Tsinghua University, Beijing 100084, PR China;2. IBM China Research Lab, Beijing 100193, PR China;1. College of Science, Chongqing Jiaotong University, Chongqing 400074, PR China;2. Yangtze Center of Mathematics, Sichuan University, Chengdu 610064, PR China |
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| Abstract: | This paper addresses the problem of global exponential dissipativity for a class of uncertain discrete-time BAM stochastic neural networks with time-varying delays, Markovian jumping and impulses. By constructing a proper Lyapunov–Krasovskii functional and combining with linear matrix inequality (LMI) technique, several sufficient conditions are derived for verifying the global exponential dissipativity in the mean square of such stochastic discrete-time BAM neural networks. The derived conditions are established in terms of linear matrix inequalities, which can be easily solved by some available software packages. One important feature presented in our paper is that without employing model transformation and free-weighting matrices our obtained result leads to less conservatism. Additionally, three numerical examples with simulation results are provided to show the effectiveness and usefulness of the obtained result. |
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