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Generalized pinning synchronization of delayed Cohen-Grossberg neural networks with discontinuous activations
Dongshu Wang1, Lihong Huang2, Longkun Tang3
1Fujian Province University Key Laboratory of Computation Science, School of Mathematical Sciences, Huaqiao University, 362021, Quanzhou, Fujian, PR China; School of Mathematics and Statistics, Central South University, 410083, Changsha, Hunan, PR China.
Abstract:
In this article, generalized pinning synchronization problem is investigated for a class of Cohen-Grossberg neural networks with discontinuous neuron activations and mixed delays. By designing generalized pinning state-feedback and adaptive controllers, several criteria for global exponential synchronization and global asymptotical synchronization of the drive-response based system are obtained in view of non-smooth analysis theory with generalized Lyapunov functional method, in which first pinning the neurons with very small self-inhibition and small amplification functions is pointed out. Some numerical examples are given to illustrate the feasibility of the obtained results.
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