Delay-dependent state estimation for discrete Markovian jump neural networks with time-varying delay

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Wu, Zhengguang, Shi, Peng, Su, Hongye and Chu, Jian (2011) Delay-dependent state estimation for discrete Markovian jump neural networks with time-varying delay. Asian Journal of Control, 13 (6). pp. 914-924. ISSN 1934-6093

Abstract

The state estimation problem is discussed for discrete Markovian jump neural networks with time-varying delays in terms of linear matrix inequality (LMI) approach. The considered transition probabilities are assumed to be time-variant and partially unknown. The aim of the state estimation problem is to design a state estimator to estimate the neuron states and ensure the stochastic stability of the error-state system. A delay-dependent sufficient condition for the existence of the desired state estimator is proposed. An explicit expression of the desired estimator is also given. A numerical example is introduced to show the effectiveness of the given result.

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Item type	Article
URI	https://vuir.vu.edu.au/id/eprint/10321
DOI	10.1002/asjc.219
Official URL	http://dx.doi.org/10.1002/asjc.219
Subjects	Historical > FOR Classification > 0801 Artificial Intelligence and Image Processing Historical > SEO Classification > 970118 Expanding Knowledge in Law and Legal Studies Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM) Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Keywords	ResPubID24785, neural networks, time-varying delays, state estimation, Markovian jumping parameters, linear matrix inequality, LMI, pattern recognition, associative memories, signal processing, fixed-point computations, hybrid system
Citations in Scopus	8 - View on Scopus
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