Journal
PHYSICS LETTERS A
Volume 354, Issue 4, Pages 288-297Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2006.01.061
Keywords
Hopfield neural networks; uncertain systems; stochastic systems; distributed delays; discrete delays; Lyapunov-Krasovskii functional; global asymptotic stability; linear matrix inequality
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This Letter is concerned with the global asymptotic stability analysis problem for a class of uncertain stochastic Hopfield neural networks with discrete and distributed time-delays. By utilizing a Lyapunov-Krasovskii functional, using the well-known S-procedure and conducting stochastic analysis, we show that the addressed neural networks are robustly, globally, asymptotically stable if a convex optimization problem is feasible. Then, the stability criteria are derived in terms of linear matrix inequalities (LMIs), which can be effectively solved by some standard numerical packages. The main results are also extended to the multiple time-delay case. Two numerical examples are given to demonstrate the usefulness of the proposed global stability condition. (c) 2006 Elsevier B.V. All rights reserved.
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