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Passivity-based control for Hopfield neural networks using convex representation |
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| Authors: | DH JiSC Won SM LeeJu H Park |
| Institution: | a Mobile Communication Division, Digital Media and Communications, Samsung Electronics, Co. Ltd., Maetan-dong, Suwon, Gyeonggi-do 416-2, Republic of Korea b Department of Electronic and Electrical Engineering, Pohang University of Science and Technology, San 31, Hyoja-Dong Pohang 790-784, Republic of Korea c School of Electronics Engineering, Daegu University, Kyongsan, Republic of Korea d Nonlinear Dynamics Group, Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Kyongsan 712-749, Republic of Korea |
| 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. |
| Keywords: | Hopfield neural network _method=retrieve& _eid=1-s2 0-S0096300310013172& _mathId=si1 gif& _pii=S0096300310013172& _issn=00963003& _acct=C000053510& _version=1& _userid=1524097& md5=c74fd7534b992dafbed3f5a5c4d39d0a')" style="cursor:pointer H&infin" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">H&infin passivity Convex problem LMI |
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