LMI Approach to Stability Analysis of Cohen-Grossberg Neural Networks withp-Laplace Diffusion
نویسندگان
چکیده
منابع مشابه
LMI Approach to Stability Analysis of Cohen-Grossberg Neural Networks with p-Laplace Diffusion
The nonlinear p-Laplace diffusion p > 1 was considered in the Cohen-Grossberg neural network CGNN , and a new linear matrix inequalities LMI criterion is obtained, which ensures the equilibrium of CGNN is stochastically exponentially stable. Note that , if p 2, p-Laplace diffusion is just the conventional Laplace diffusion in many previous literatures. And it is worth mentioning that even if p ...
متن کاملLMI Approach to Exponential Stability and Almost Sure Exponential Stability for Stochastic Fuzzy Markovian-Jumping Cohen-Grossberg Neural Networks with Nonlinear p-Laplace Diffusion
The robust exponential stability of delayed fuzzy Markovian-jumping Cohen-Grossberg neural networks (CGNNs) with nonlinear p-Laplace diffusion is studied. Fuzzy mathematical model brings a great difficulty in setting up LMI criteria for the stability, and stochastic functional differential equations model with nonlinear diffusion makes it harder. To study the stability of fuzzy CGNNs with diffu...
متن کاملLMI approach for global robust stability of Cohen-Grossberg neural networks with multiple delays
In this paper, we investigate the global robust stability of the equilibrium point of a class of Cohen–Grossberg neural networks with multiple delays and uncertainties. The new criteria for the global robust stability are given by way of constructing a suitable Lyapunov functional. The criteria take the form of linear matrix inequality (LMI), and are independent of the amplification function. C...
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 کاملStability 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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Applied Mathematics
سال: 2012
ISSN: 1110-757X,1687-0042
DOI: 10.1155/2012/523812