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Zbl 1204.93064
Zhu, Quanxin; Cao, Jinde
Adaptive synchronization of chaotic Cohen-Grossberg neural networks with mixed time delays. (Adaptive synchronization of chaotic Cohen-Crossberg neural networks with mixed time delays.) (English)
[J] Nonlinear Dyn. 61, No. 3, 517-534 (2010). ISSN 0924-090X; ISSN 1573-269X/e

Summary: The problem of adaptive synchronization is investigated for a class of Cohen-Crossberg neural networks with mixed time delays. Based on a Lyapunov-Krasovskii functional and the invariant principle of function differential equations as well as the adaptive control and linear feedback with update law, a linear matrix inequality approach is developed to derive some novel sufficient conditions achieving synchronization of the two coupled networks with mixed time delays. In particular, the mixed time delays in this paper synchronously consist of constant delays, time-varying delays, and distributed delays, which are more general than those discussed in the previous literature. Therefore, the results obtained in this paper comprise and generalize those given in the previous literature. A numerical example and its simulation are provided to show the effectiveness of the theoretical results.
MSC 2000:
*93C23 Systems governed by functional-differential equations
92B20 General theory of neural networks
34C28 Other types of "recurrent" solutions of ODE
37D45 Strange attractors, chaotic dynamics
37N25 Dynamical systems in biology
92C20 Neural biology
93D21 Adaptive and robust stabilization

Keywords: adaptive synchronization; Cohen-Grossberg neural network; Lyapunov functional; linear matrix inequality; mixed time delay

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