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Zbl 1209.93056
Ji, D.H.; Koo, J.H.; Won, S.C.; Lee, S.M.; Park, Ju H.
Passivity-based control for Hopfield neural networks using convex representation.
(English)
[J] Appl. Math. Comput. 217, No. 13, 6168-6175 (2011). ISSN 0096-3003

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.
MSC 2000:
*93B51 Design techniques in systems theory
93B52 Feedback control
93D05 Lyapunov and other classical stabilities of control systems
92B20 General theory of neural networks

Keywords: Hopfield neural network; ${\cal H}_\infty$ passivity; convex problem; LMI

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