Existence and Global Exponential Stability of Almost Periodic Solutions for Bam Neural Networks with Distributed Leakage Delays on Time Scales∗
نویسندگان
چکیده
In this paper, we deal with a class of BAM neural networks with distributed leakage delays on time scales. Some sufficient conditions which ensure the existence and exponential stability of almost periodic solutions for such class of BAM neural networks are obtained by applying the exponential dichotomy of linear differential equations, Lapunov functional method and contraction mapping principle. An example is given to illustrate the effectiveness of the theoretical predictions. The obtained results in this paper are completely new and complement the previously known publications.
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 and stability of neutral–type BAM neural networks with time delay in the neutral and leakage terms on time scales
By employing the theory of exponential dichotomy on time scales, Banach fixed point theorem and the method of Lyapunov functional, new sufficient conditions are established to ensure the existence and exponential stability of almost periodic solutions for neutral–type BAM neural networks. Unlike previously considered networks, the addressed system involves time delays in both the neutral deriva...
متن کاملC 1-Almost Periodic Solutions of BAM Neural Networks with Time-Varying Delays on Time Scales
On a new type of almost periodic time scales, a class of BAM neural networks is considered. By employing a fixed point theorem and differential inequality techniques, some sufficient conditions ensuring the existence and global exponential stability of C1-almost periodic solutions for this class of networks with time-varying delays are established. Two examples are given to show the effectivene...
متن کاملExistence and Global Exponential Stability of almost Periodic Solutions for BAM Neural Networks with variable Coefficients on Time Scales
In this paper, based on the theory of calculus on time scales and some basic results about almost periodic differential equations on almost periodic time scales, a class of BAM neural networks with variable coefficients are studied on almost periodic time scales, some sufficient conditions are established for the existence and global exponential stability of the almost periodic solution. Finall...
متن کاملAnti-periodic Solutions for A Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Time-varying Delays in the Leakage Terms
This paper is concerned with the existence and exponential stability of anti-periodic solutions of a class of shunting inhibitory cellular neural networks with continuously distributed delays and time-varying delays in the leakage terms. By using differential inequality techniques, some verifiable and practical delay-dependent criteria on the existence and exponential stability of anti-periodic...
متن کامل