Thalassaemia classification by neural networks and genetic programming
Information Sciences: an International Journal
pth moment stability analysis of stochastic recurrent neural networks with time-varying delays
Information Sciences: an International Journal
Computers & Mathematics with Applications
Adaptive feedback linearization control of chaotic systems via recurrent high-order neural networks
Information Sciences: an International Journal
IEEE Transactions on Neural Networks
Information Sciences: an International Journal
Passive learning and input-to-state stability of switched Hopfield neural networks with time-delay
Information Sciences: an International Journal
Information Sciences: an International Journal
Information Sciences: an International Journal
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This paper investigates the global asymptotic stability of the periodic solution for a general class of neural networks whose neuron activation functions are modeled by discontinuous functions with linear growth property. By using Leray-Schauder alternative theorem, the existence of the periodic solution is proved. Based on the matrix theory and generalized Lyapunov approach, a sufficient condition which ensures the global asymptotical stability of a unique periodic solution is presented. The obtained results can be applied to check the global asymptotical stability of discontinuous neural networks with a broad range of activation functions assuming neither boundedness nor monotonicity, and also conform the validity of Forti's conjecture for discontinuous neural networks with linear growth activation functions. Two illustrative examples are given to demonstrate the effectiveness of the present results.