Existence and Global Exponential Stability of Periodic Solution of High-order Cohen-grossberg Neural Network with Impulses
نویسندگان
چکیده
Abstract. Sufficient conditions are obtained for the existence and global exponential stability of periodic solution of high-order Cohen-Grossberg neural network with impulses by using Mawhin’s continuation theorem of coincidence degree and by means of a method based differential inequality.
منابع مشابه
Existence and exponential stability of almost periodic solution for Cohen-Grossberg SICNNs with impulses
In this paper, based on the estimation of the Cauchy matrix of linear impulsive differential equations, by using Banach fixed point theorem and Gronwall-Bellman’s inequality, some sufficient conditions are obtained for the existence and exponential stability of almost periodic solution for Cohen-Grossberg shunting inhibitory cellular neural networks (SICNNs) with continuously distributed delays...
متن کاملGlobal Exponential Stability of Delayed Cohen-Grossberg BAM Neural Networks with Impulses on Time Scales
Based on the theory of calculus on time scales, the homeomorphism theory, Lyapunov functional method, and some analysis techniques, sufficient conditions are obtained for the existence, uniqueness, and global exponential stability of the equilibrium point of Cohen-Grossberg bidirectional associative memory BAM neural networks with distributed delays and impulses on time scales. This is the firs...
متن کاملAnalysis of stability for impulsive stochastic fuzzy Cohen-Grossberg neural networks with mixed delays
In this paper, the problem of stability analysis for a class of impulsive stochastic fuzzy Cohen-Grossberg neural networks with mixed delays is considered. Based on M-matrix theory and stochastic analysis technique, a sufficient condition is obtained to ensure the existence, uniqueness, and global exponential stability in mean square means of the equilibrium point for the addressed impulsive st...
متن کاملExponential stability of periodic solutions for inertial Cohen-Grossberg-type BAM neural networks with time delays
Abstract: The paper is concerned with the existence and global exponential stability of periodic solutions for inertial Cohen-Grossberg-type BAM neural networks with time delays. With variable transformation the system is transformed to first order differential equations. Some new sufficient conditions ensuring the existence and global exponential stability of periodic solutions for the system ...
متن کاملDynamics of Cohen-Grossberg Neural Networks with Mixed Delays and Impulses
Impulsive Cohen-Grossberg neural networks with bounded and unbounded delays i.e., mixed delays are investigated. By using the Leray-Schauder fixed point theorem, differential inequality techniques, and constructing suitable Lyapunov functional, several new sufficient conditions on the existence and global exponential stability of periodic solution for the system are obtained, which improves som...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2009