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By using the method of Lyapunov function and analysis technique, a model for bidirectional associative memory with impulsive and delay is studied. Sufficient conditions are obtained for the existence of ω-periodic solution and all other solutions are globally exponentially convergent to it.
By using the Lyapunov functional and some inequality technique, some sufficient conditions are obtained for the global exponential stability and existence of the periodic solution to the BAM neural networks with distributed delays on time scales. In fact, the results can be easily applied in practice.
A class of impulsive neural networks with distributed delays is studied in this paper. With assuming global Lipschitz conditions on the activation functions, applying idea of vector Lyapunov function, combining Young inequality and Halanay differential inequality with delay, sufficient conditions are obtained for the existence of unique and global exponential stable equilibrium of the distributed...
In this paper we study the globally exponential stability of a class of neural networks with time-varying delays. Applying idea of vector Lyapunov function, Young inequality and Halanay differential inequality with delay, the sufficient conditions for the existence and globally exponential stability of the equilibrium point are obtained.
The main purpose of this paper is to study the globally exponential stability of the equilibrium point for a class of impulsive neural networks with time-varying delays. Without assuming global Lipschitz conditions on the activation functions, applying idea of vector Lyapunov function, combining Halanay differential inequality with delay, the sufficient conditions for globally exponential stability...
The main purpose of this paper is to study the globally exponential stability of the equilibrium point for a class of cellular neural networks with distributed delays and large impulses. With assuming global Lipschitz conditions on the activation functions, applying idea of vector Lyapunov function, combining Halanay differential inequality with delay, the sufficient conditions for globally exponential...
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