## Delay-dependent exponential stability of cellular neural networks with time-varying delays.(English)Zbl 1094.34055

The authors analyze certain nonlinear delay differential equations (with time-varying delays) that model cellular neural networks. These equations are of the form $x'(t)=-Cx(t) + Af(x(t)) + Bf(x(t -\tau(t))) + u,$ where $$x\in \mathbb{R}^n$$, $$A, B, C$$ are constant matrices; $$f$$ is Lipschitzian and $$\tau(t) > 0$$.
Sufficient conditions for global exponential stability are given.

### MSC:

 34K20 Stability theory of functional-differential equations 34K25 Asymptotic theory of functional-differential equations 34K60 Qualitative investigation and simulation of models involving functional-differential equations 92B20 Neural networks for/in biological studies, artificial life and related topics
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