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LMI conditions for delay probability distribution dependent robust stability analysis of markovian jump stochastic neural networks with time-varying delays

Publication Type : Journal Article

Publisher : MKD Publishing House

Source : Malaya Journal of Matematik

Url : https://doi.org/10.26637/mjm0702/0031

Campus : Coimbatore

School : School of Physical Sciences

Department : Mathematics

Year : 2019

Abstract : This paper investigates the robust stability analysis for a class of uncertain stochastic neural networks (SNNs)with markovian jump and time-varying delays. Based on the stochastic analysis approach & Lyapunov-Krasovskii functional, a delay probability distribution dependent sufficient condition is obtained in the linear matrix inequality (LMI) form such that delayed markovian jump SNNs are robustly globally asymptotically stable in the mean square for all admissible uncertainties. An important feature of the result is that the stability conditions are dependent on the probability distribution of delays and upper bound of the derivative is allowed to be greater than or equal to 1. Numerical examples are given for the comparison to illustrate the effectiveness of our results.

Cite this Research Publication : N. Mala, A.R. Sudamani Ramaswamy, A. Vinodkumar, LMI conditions for delay probability distribution dependent robust stability analysis of markovian jump stochastic neural networks with time-varying delays, Malaya Journal of Matematik, MKD Publishing House, 2019, https://doi.org/10.26637/mjm0702/0031

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