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: | Ji D H, Koo J H, Won S C, Lee S M, Park Ju H |
Keywords: | programming: convex, simulation: applications, control |
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.