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Zbl 1209.37108
Lu, Jianquan; Ho, Daniel W.C.; Liu, Ming
Globally exponential synchronization in an array of asymmetric coupled neural networks. (English)
[J] Phys. Lett., A 369, No. 5-6, 444-451 (2007). ISSN 0375-9601

Summary: We study the globally exponential synchronization in an array of linearly coupled neural networks with delayed coupling. The coupling configuration matrix is assumed to be asymmetric, which is more coincident with the real-world network. The difficulty arising from the asymmetry of the coupling matrix has been overcame in this work. Some synchronization criteria are given in terms of strict linear matrix inequalities (LMIs), which can be efficiently solved by using interior point algorithm. Some previous synchronization results are generalized. Numerical simulation is also given to verify our theoretical analysis.

MSC 2000:: *37N25 Dynamical systems in biology
34K20 Stability theory of functional-differential equations
37N35 Dynamical systems in control
92B20 General theory of neural networks
93D20 Asymptotic stability of control systems

Keywords: synchronization; asymmetric coupling; complex network; delay; neural network

Cited in: Zbl 1217.37081

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