Almost periodic dynamical behaviors for generalized Cohen-Grossberg neural networks with discontinuous activations via differential inclusions

作者：Wang, Dongshu; Huang, Lihong^*

来源：Communications in Nonlinear Science & Numerical Simulation, 2014, 19(10): 3857-3879.

DOI：10.1016/j.cnsns.2014.02.016

• Almost periodic solution
• Global exponential stability
• Cohen-Grossberg neural networks
• Discontinuous activation
• Differential inclusion

In this paper, we investigate the almost periodic dynamical behaviors for a class of general Cohen-Grossberg neural networks with discontinuous right-hand sides, time-varying and distributed delays. By means of retarded differential inclusions theory and nonsmooth analysis theory with generalized Lyapunov approach, we obtain the existence, uniqueness and global stability of almost periodic solution to the neural networks system. It is worthy to pointed out that, without assuming the boundedness or monotonicity of the discontinuous neuron activation functions, our results will also be valid. Finally, we give some numerical examples to show the applicability and effectiveness of our main results.

• 出版日期2014-10
• 单位湖南女子学院; 湖南大学; 华侨大学