Exponential Stability for Delayed Stochastic Bidirectional Associative Memory Neural Networks with Markovian Jumping and Impulses

R. Sakthivel (), R. Raja and S. M. Anthoni
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R. Sakthivel: Sungkyunkwan University
R. Raja: Periyar University
S. M. Anthoni: Anna University Coimbatore

Journal of Optimization Theory and Applications, 2011, vol. 150, issue 1, No 11, 166-187

Abstract: Abstract In this paper, the problem of stability analysis for a class of delayed stochastic bidirectional associative memory neural network with Markovian jumping parameters and impulses are being investigated. The jumping parameters assumed here are continuous-time, discrete-state homogenous Markov chain and the delays are time-variant. Some novel criteria for exponential stability in the mean square are obtained by using a Lyapunov function, Ito’s formula and linear matrix inequality optimization approach. The derived conditions are presented in terms of linear matrix inequalities. The estimate of the exponential convergence rate is also given, which depends on the system parameters and impulsive disturbed intension. In addition, a numerical example is given to show that the obtained result significantly improve the allowable upper bounds of delays over some existing results.

Keywords: Global exponential stability; Lyapunov-Krasovskii function; Time varying delay; Markovian jumping parameters; Linear matrix inequality optimization approach; Impulses (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-011-9808-4

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