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L\infty Analysis and State-Feedback Control of Hopfield Networks

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2 Author(s)
Stoica, A. ; Fac. of Aerosp. Eng., Univ. Politeh. of Bucharest, Bucharest, Romania ; Yaesh, I.

A nonsymmetric version of Hopfield networks subject to bounded disturbances is considered. Such networks arise in the context of visuo-motor control loops and may, therefore, be used to mimic their complex behavior. In this brief, we adopt the Lur'e-Postnikov systems approach to analyze the induced L gain of generalized Hopfield networks. A state-feedback control is then designed to accomplish the L-type performance for Hopfield networks. The results are illustrated through numerical examples.

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Neural Networks and Learning Systems, IEEE Transactions on  (Volume:24 ,  Issue: 9 )