## Delay-dependent stochastic stability of delayed Hopfield neural networks with Markovian jump parameters.(English)Zbl 1132.34061

The authors consider a coupled system of $$n$$ nonlinear differential equations with a single time lag – a continuous Hopfield model in which some parameters vary in time according to a Markov jump process. They establish stochastic asymptotic stability in terms of the solvability of a certain linear matrix inequality.

### MSC:

 34K50 Stochastic functional-differential equations 34K45 Functional-differential equations with impulses 34K20 Stability theory of functional-differential equations 92B20 Neural networks for/in biological studies, artificial life and related topics

### Keywords:

Hopfield model; Markov jump process; delay equation
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### References:

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