Anti-periodic Solutions for Neural Networks with Delays and Impulses
نویسندگان
چکیده
AbstractIn this paper we investigate a class of artificial neural networks with delays subject to periodic impulses. By exploiting Lyapunov functions, we analyze the global exponential stability of an arbitrary solution with initial value being bounded by . Further, we discuss the existence of anti-periodic solutions by constructing fundamental function sequences based on a solution with initial value being bounded by . We also establish sufficient conditions to ensure the existence, uniqueness and exponential stability of anti-periodic solutions, which are new and easily verifiable. At last, we present a network with its time-series and phase graphics to demonstrate our results.
منابع مشابه
Joint influence of leakage delays and proportional delays on almost periodic solutions for FCNNs
This paper deals with fuzzy cellular neural networks (FCNNs) with leakage delays and proportional delays. Applying the differential inequality strategy, fixed point theorem and almost periodic function principle, some sufficient criteria which ensure the existence and global attractivity of a unique almost periodic solution for fuzzy cellular neuralnetworks with leakage delays and p...
متن کاملExistence of Almost Periodic Solutions for Hopfield Neural Networks with Continuously Distributed Delays and Impulses
By means of a Cauchy matrix, we prove the existence of almost periodic solutions for Hopfield neural networks with continuously distributed delays and impulses. An example is employed to illustrate our results.
متن کاملPeriodic solutions of recurrent neural networks with distributed delays and impulses on time scales
In this paper, by using the continuation theorem of coincidence degree theory, M−matrix theory and constructing some suitable Lyapunov functions, some sufficient conditions are obtained for the existence and global exponential stability of periodic solutions of recurrent neural networks with distributed delays and impulses on time scales. Without assuming the boundedness of the activation funct...
متن کاملPeriodic Solutions of a Cohen-Grossberg-Type BAM Neural Networks with Distributed Delays and Impulses
A class of Cohen-Grossberg-type BAM neural networks with distributed delays and impulses are investigated in this paper. Sufficient conditions to guarantee the uniqueness and global exponential stability of the periodic solutions of such networks are established by using suitable Lyapunov function, the properties of M-matrix, and some suitable mathematical transformation. The results in this pa...
متن کاملAnti-periodic Solutions for High-order Cellular Neural Networks with Time-varying Delays
In this article, we study anti-periodic solutions for high-order cellular neural networks with time-varying delays. Sufficient conditions for the existence and exponential stability of anti-periodic solutions are presented.
متن کامل