Literature DB >> 24933353

Robust stochastic stability of discrete-time fuzzy Markovian jump neural networks.

A Arunkumar1, R Sakthivel2, K Mathiyalagan3, Ju H Park3.   

Abstract

This paper focuses the issue of robust stochastic stability for a class of uncertain fuzzy Markovian jumping discrete-time neural networks (FMJDNNs) with various activation functions and mixed time delay. By employing the Lyapunov technique and linear matrix inequality (LMI) approach, a new set of delay-dependent sufficient conditions are established for the robust stochastic stability of uncertain FMJDNNs. More precisely, the parameter uncertainties are assumed to be time varying, unknown and norm bounded. The obtained stability conditions are established in terms of LMIs, which can be easily checked by using the efficient MATLAB-LMI toolbox. Finally, numerical examples with simulation result are provided to illustrate the effectiveness and less conservativeness of the obtained results.
Copyright © 2014 ISA. Published by Elsevier Ltd. All rights reserved.

Keywords:  Discrete-time neural networks; Linear matrix inequality; Markovian jump; Stochastic stability; Various activation functions

Mesh:

Year:  2014        PMID: 24933353     DOI: 10.1016/j.isatra.2014.05.002

Source DB:  PubMed          Journal:  ISA Trans        ISSN: 0019-0578            Impact factor:   5.468


  2 in total

1.  Mean almost periodicity and moment exponential stability of semi-discrete random cellular neural networks with fuzzy operations.

Authors:  Sufang Han; Guoxin Liu; Tianwei Zhang
Journal:  PLoS One       Date:  2019-08-07       Impact factor: 3.240

2.  Non-fragile mixed H∞ and passive synchronization of Markov jump neural networks with mixed time-varying delays and randomly occurring controller gain fluctuation.

Authors:  Chao Ma
Journal:  PLoS One       Date:  2017-04-14       Impact factor: 3.240

  2 in total

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