Title :
Analysis and State-Feedback Control of Hopfield Networks
Author :
Stoica, Atanasia ; Yaesh, Isaac
Author_Institution :
Fac. of Aerosp. Eng., Univ. Politeh. of Bucharest, Bucharest, Romania
Abstract :
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.
Keywords :
H∞ control; Hopfield neural nets; control system synthesis; generalisation (artificial intelligence); state feedback; L∞ analysis; L∞ gain; L∞-type performance; Lur´e-Postnikov system approach; bounded disturbances; generalized Hopfield networks; nonsymmetric Hopfield networks; state-feedback control; visuo-motor control loops; Hopfield neural networks; nonlinear control systems; optimal control; robust stability;
Journal_Title :
Neural Networks and Learning Systems, IEEE Transactions on
DOI :
10.1109/TNNLS.2013.2257844