Anti-periodic Solutions for A Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Time-varying Delays in the Leakage Terms
نویسندگان
چکیده
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 solutions for the model are obtained. Numerical simulations are carried out to illustrate the theoretical findings. Key–Words: Shunting inhibitory cellular neural networks, Anti-periodic solution, Exponential stability, Distributed delay, Time-varying delay, Leakage term
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 کاملLinear matrix inequality approach for synchronization of chaotic fuzzy cellular neural networks with discrete and unbounded distributed delays based on sampled-data control
In this paper, linear matrix inequality (LMI) approach for synchronization of chaotic fuzzy cellular neural networks (FCNNs) with discrete and unbounded distributed delays based on sampled-data controlis investigated. Lyapunov-Krasovskii functional combining with the input delay approach as well as the free-weighting matrix approach are employed to derive several sufficient criteria in terms of...
متن کاملExponential Stability of Almost Periodic Solution for Shunting Inhibitory Cellular Neural Networks with Time-Varying and Distributed Delays
In this paper, shunting inhibitory cellular neural networks (SICNNs) with timevarying and distributed delays are considered. Without assuming the global Lipschitz conditions of activation functions, some new sufficient conditions for the existence and exponential stability of the almost periodic solutions are established. Finally, a numerical example is given to demonstrate the effectiveness of...
متن کاملPeriodic Solutions and Exponential Stability for Shunting Inhibitory Cellular Neural Networks with Continuously Distributed Delays
In this paper, we consider a class of shunting inhibitory cellular neural networks with continuously distributed delays (SICNNs). The delays are unbounded and the activation function is not assumed to be bounded. Using the continuation theorems of coincidence degree theory, Lyapunov functional method, we obtain new sufficient conditions for the existence and local exponential stability of perio...
متن کاملExistence and p-exponential stability of periodic solution for stochastic shunting inhibitory cellular neural networks with time-varying delays
In this paper, we investigate a class of stochastic shunting inhibitory cellular neural networks with time-varying delays. Applying integral inequality, some sufficient conditions on the existence and pexponential stability of periodic solutions for stochastic shunting inhibitory cellular neural networks with time-varying delays are established. An example is presented to illustrate our main th...
متن کامل