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Passivity-based control for Hopfield neural networks using convex representation. (English) Zbl 1209.93056
Summary: This paper considers the problem of passivity-based controller design for Hopfield neural networks. By making use of a convex representation of nonlinearities, a feedback control scheme based on passivity and Lyapunov theory is presented. A criterion for existence of the controller is given in terms of Linear Matrix Inequality (LMI), which can be easily solved by a convex optimization problem. An example and its numerical simulation are given to show the effectiveness of the proposed method.

93B51Design techniques in systems theory
93B52Feedback control
93D05Lyapunov and other classical stabilities of control systems
92B20General theory of neural networks (mathematical biology)
Full Text: DOI
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