Passivity‐based control for Hopfield neural networks using convex representation

Passivity‐based control for Hopfield neural networks using convex representation

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Article ID: iaor20112857
Volume: 217
Issue: 13
Start Page Number: 6168
End Page Number: 6175
Publication Date: Mar 2011
Journal: Applied Mathematics and Computation
Authors: , , , ,
Keywords: programming: convex, simulation: applications, control
Abstract:

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.

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