Delay-dependent stability criteria of uncertain Markovian jump neural networks with discrete interval and distributed time-varying delays


ALI M. S. , Arik S. , SARAVANAKURNAR R.

NEUROCOMPUTING, vol.158, pp.167-173, 2015 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 158
  • Publication Date: 2015
  • Doi Number: 10.1016/j.neucom.2015.01.056
  • Title of Journal : NEUROCOMPUTING
  • Page Numbers: pp.167-173
  • Keywords: Distributed time-varying delay, Interval time-varying delay, Linear matrix inequality (LMI), Markovian jumping parameters, Neural networks, ROBUST STABILITY, STOCHASTIC STABILITY, STATE ESTIMATION, SYSTEMS

Abstract

In this paper, a class of uncertain neural networks with discrete interval and distributed time-varying delays and Markovian jumping parameters (MJPs) are carried out. The Markovian jumping parameters are modeled as a continuous-time, finite-state Markov chain. By using the Lyapunov-Krasovskii functionals (LKFs) and linear matrix inequality technique, some new delay-dependent criteria is derived to guarantee the mean-square asymptotic stability of the equilibrium point. Numerical simulations are given to demonstrate the effectiveness of the proposed method. The results are also compared with the existing results to show the less conservativeness. (C) 2015 Elsevier B.V. All rights reserved.