Brief paper: Markovian jump delayed Hopfield networks with multiplicative noise

Authors:
Adrian-Mihail Stoica;Isaac Yaesh
Affiliations:
University "Politehnica" of Bucharest, Faculty of Aerospace Engineering, Str. Polizu, no. 1, Ro-011061, Bucharest, Romania;IMI, Advanced Systems Division, P.O. Box 1044/77, Ramat-Hasharon 47100, Israel
Venue:
Automatica (Journal of IFAC)
Year:
2008

Citing 2
Cited 1

Neural Networks: A Comprehensive Foundation (3rd Edition)

Neural Networks: A Comprehensive Foundation (3rd Edition)
Simple stability criteria for systems with time-varying delays

Automatica (Journal of IFAC)

Simplified stability criteria for fuzzy Markovian jumping Hopfield neural networks of neutral type with interval time-varying delays

Expert Systems with Applications: An International Journal

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Abstract

A non-symmetric version of Hopfield networks subject to state-multiplicative noise, pure time delay and Markov jumps 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 paper, we adopt the Lur'e-Postnikov systems approach to analyze the stochastic stability and the L"2 gain of generalized Hopfield networks including these effects.