Exponential Stability of Generalized Cohen-Grossberg Neural Networks with Time-Varying Delays and Reaction-Diffusion term
نویسندگان
چکیده
In this paper, a generalized model of Cohen-Grossberg neural networks (CGNNs) with time-varying delays and reaction-diffusion term is investigated. By constructing suitable Lyapunov functional, inequality technique and M -matrix theory, some sufficient conditions for global exponential stability of generalized CGNNs with time-varying delays and reaction-diffusion term are obtained. An examples are given to show the effectiveness of the obtained results.
منابع مشابه
Stability Analysis of Stochastic Reaction-Diffusion Cohen-Grossberg Neural Networks with Time-Varying Delays
This paper is concerned with pth moment exponential stability of stochastic reaction-diffusion Cohen-Grossberg neural networks with time-varying delays. With the help of Lyapunov method, stochastic analysis, and inequality techniques, a set of new suffcient conditions on pth moment exponential stability for the considered system is presented. The proposed results generalized and improved some e...
متن کاملExponential Stability of Reaction-Diffusion Generalized Cohen-Grossberg Neural Networks with both Variable and Distributed Delays
In this paper, a generalized reaction-diffusion model of Cohen Grossberg neural networks with time-varying and distributed delays is investigated. By employing analytic methods, inequality technique and M -matrix theory, some sufficient conditions ensuring the existence, uniqueness and global exponential stability of equilibrium point for Cohen-Grossberg neural networks with time-varying and di...
متن کاملRobust stability of fuzzy Markov type Cohen-Grossberg neural networks by delay decomposition approach
In this paper, we investigate the delay-dependent robust stability of fuzzy Cohen-Grossberg neural networks with Markovian jumping parameter and mixed time varying delays by delay decomposition method. A new Lyapunov-Krasovskii functional (LKF) is constructed by nonuniformly dividing discrete delay interval into multiple subinterval, and choosing proper functionals with different weighting matr...
متن کاملExponential stability of reaction-diffusion Cohen-Grossberg-type BAM neural networks with time delays
Abstract: The global exponential stability is investigated for a class of reaction-diffusion Cohen-Grossberg-type BAM neural networks with time delays. By constructing suitable Lyapunov functional and using homeomorphism mapping, several sufficient conditions guaranteeing the existence, uniqueness and global exponential stability of reaction-diffusion Cohen-Grossberg-type BAM neural networks wi...
متن کاملOn Global Exponential Stability of Generalized Cohen-grossberg Neural Networks with Time-varying Delays
In this paper, a generalized model of Cohen-Grossberg neural networks with time-varying delays is investigated. By employing the nonlinear measure approach, analytic methods, inequality technique and M-matrix theory, some sufficient conditions ensuring the existence, uniqueness and global exponential stability of equilibrium point for Cohen-Grossberg neural networks with timevarying delays are ...
متن کامل