Title | ||
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Exponential Stability for Delayed Stochastic Bidirectional Associative Memory Neural Networks with Markovian Jumping and Impulses |
Abstract | ||
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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. |
Year | DOI | Venue |
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2013 | 10.1007/s10957-011-9808-4 | J. Optimization Theory and Applications |
Keywords | DocType | Volume |
global exponential stability · lyapunov-krasovskii function · time-varying delay · markovian jumping parameters · linear matrix inequality optimization approach · impulses | Journal | 150 |
Issue | ISSN | Citations |
1 | 1573-2878 | 25 |
PageRank | References | Authors |
0.81 | 8 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
R. Sakthivel | 1 | 568 | 48.45 |
R. Raja | 2 | 180 | 12.58 |
Selvaraj Marshal Anthoni | 3 | 332 | 22.82 |