Adaptive Control for a Class of Stochastic Passive Hopfield Networks
نویسنده
چکیده
The paper presents passivity conditions for a class of stochastic Hopfield neural networks with state-dependent noise and with Markovian jumps. Our contributions are mainly based on the stability analysis of the class of stochastic neural networks considered, using infinitesimal generators of appropriate stochastic Lyapunov-type functions. The passivity conditions derived are expressed in terms of the solutions of some specific systems of linear matrix inequalities. The theoretical results are illustrated by a simplified adaptive control problem for a dynamic system with chaotic behaviour.
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