Exponential stability of reaction-diffusion generalized Cohen-Grossberg neural networks with both variable and distributed delays
نویسندگان
چکیده
منابع مشابه
Exponential 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...
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and Applied Analysis 3 In the light of (H1)–(H4), it is easy to see that problems (1)-(2) admit an equilibrium point u = 0. Definition 1. The equilibrium point u = 0 of problems (1)(2) is said to be globally exponentially stable if there exist constants κ > 0 andM ≥ 1 such that u (t, x; t0, φ) Ω ≤ M φ Ω e −κ(t−t 0 ) , t ≥ t 0 , (10) where ‖φ‖ 2 Ω = sup t 0 −τ≤s≤t 0 ∑ n i=1 ∫ Ω φ...
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ژورنال
عنوان ژورنال: International Mathematical Forum
سال: 2007
ISSN: 1314-7536
DOI: 10.12988/imf.2007.07127