Delaydependent passivity analysis of timevarying delayed neural networks with leakage and stochastic effects

Delay-dependent passivity analysis of time-varying delayed neural networks with leakage and stochastic effects

  IJETT-book-cover  International Journal of Engineering Trends and Technology (IJETT)          
  
© 2017 by IJETT Journal
Volume-46 Number-2
Year of Publication : 2017
Authors : G. Mahendrakumar, R. Manivannan, R. Samidurai
DOI :  10.14445/22315381/IJETT-V46P217

Citation 

G. Mahendrakumar, R. Manivannan, R. Samidurai "Delay-dependent passivity analysis of time-varying delayed neural networks with leakage and stochastic effects", International Journal of Engineering Trends and Technology (IJETT), V46(2),92-107 April 2017. ISSN:2231-5381. www.ijettjournal.org. published by seventh sense research group

Abstract
This paper deals with the problem of passivity analysis for a class of stochastic neural networks (SNNs) with leakage, discrete and distributed delays. By constructing a suitable Lyapunov- Krasovskii functionals and linear matrix inequality (LMI) approach, which is combined with free- weighting matrix method and stochastic analysis technique. We obtain sufficient delay-dependent criteria for the passivity of the addressed neural networks are established in terms of LMIs, which can be verified easily by MATLAB LMI Control toolbox. In addition, few numerical examples are given to show the effectiveness and less conservatism of the approaches proposed in this paper.

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Keywords
Stochastic neural networks; Passivity; Leakage delay; Distributed delay; Linear matrix inequalities.