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Zbl 1241.92006
Li, Xiaodi; Rakkiyappan, R.; Balasubramaniam, P.
Existence and global stability analysis of equilibrium of fuzzy cellular neural networks with time delay in the leakage term under impulsive perturbations. (English)
[J] J. Franklin Inst. 348, No. 2, 135-155 (2011). ISSN 0016-0032; ISSN 1879-2693/e

The authors are concerned with existence, uniqueness and global stability of fuzzy cellular neural networks with mixed delays that include a constant delay in the leakage term, time-varying delays and continuously distributed delays. First, sufficient conditions that ensure existence and uniqueness of solutions are established with the help of a contraction mapping theorem. Then, topological degree theory and Lyapunov-Krasovski functionals are employed for the stability analysis. Two numerical examples illustrating the theoretical results are examined.
[Yuri V. Rogovchenko (Umeå)]

MSC 2000:: *92B20 General theory of neural networks
34K45 Equations with impulses
34K20 Stability theory of functional-differential equations
65C20 Models (numerical methods)

Keywords: uniqueness; stability; delays; impulses

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