Global Stability of Integral Manifolds for Reaction–Diffusion Delayed Neural Networks of Cohen–Grossberg-Type under Variable Impulsive Perturbations
نویسندگان
چکیده
منابع مشابه
Global Exponential Stability of Delay Neural Networks with Impulsive Perturbations
This paper considers the global exponential stability of delay neural networks with impulsive perturbations. By establishing a new impulsive delay inequality which is different from the earlier publication, we obtain some new sufficient conditions ensuring exponential stability of the equilibrium point for such neural networks. The neural networks model considered include the impulsive delay Ho...
متن کاملImproved stability criteria for a class of neural networks with variable delays and impulsive perturbations
Keywords: Neural networks Exponential stability M-matrix Variable delays Impulses a b s t r a c t This paper further investigates the problem of stability analysis for a kind of neural networks with variable delays and nonlinear impulses. With the help of M-matrix, the homeo-morphism theory, some effective inequalities and analysis techniques, certain novel criteria on the existence, uniqueness...
متن کاملGlobal Stability of Delayed Hopfield Neural Networks under Dynamical Thresholds
We study dynamical behavior of a class of cellular neural networks system with distributed delays under dynamical thresholds. By using topological degree theory and Lyapunov functions, some new criteria ensuring the existence, uniqueness, global asymptotic stability, and global exponential stability of equilibrium point are derived. In particular, our criteria generalize and improve some known ...
متن کاملSynchronization of Chaotic Delayed Fuzzy Neural Networks under Impulsive and Stochastic Perturbations
and Applied Analysis 3 (A 1 ) f i is globally Lipschitz continuous, that is, for any i ∈ N, there exists nonnegative constant L i such that fi (u) − fi (v) ≤ L i |u − v| for u, v ∈ R. (3) (A 2 ) For any k ∈ N, there is a nonnegative constant η k such that u + Iik (u) − v − Iik (v) ≤ ηk |u − v| for u, v ∈ R, i ∈ N. (4) Let (2) be the drive system, and let the response system with r...
متن کاملExponential Stability of Impulsive Delayed Reaction-Diffusion Cellular Neural Networks via Poincaré Integral Inequality
and Applied Analysis 3 Denote by u(t, x) = u(t, x; t 0 , φ), u ∈ Rn, the solution of system (5)-(6), satisfying the initial condition u (s, x; t 0 , φ) = φ (s, x) , t0 − τ ≤ s ≤ t0, x ∈ Ω, (7) and Dirichlet boundary condition u (t, x; t 0 , φ) = 0, t ≥ t 0 , x ∈ ∂Ω, (8) where the vector-valued function φ(s, x) = (φ 1 (s, x), . . . , φ n (s, x))T is such that ∫ Ω ∑n i=1 φ2 i (s, x)dx is bounded ...
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: Mathematics
سال: 2020
ISSN: 2227-7390
DOI: 10.3390/math8071082