LMI optimisation approach to new stability results for uncertain stochastic neural networks with discrete interval and distributed time-varying delays. (1st January 2014)

• Record Type: Journal Article
• Authors: Mala, N.; Sudamani Ramaswamy, A.R.
• Is Part Of: International journal of computing science and mathematics. Volume 5:Number 4(2014)
• Page Start: 346
• Page End: 369
• Publication Date: 2014-01-01
• Subjects: delay interval-dependent stability -- linear matrix inequality -- Lyapunov-Krasovskii functional -- stochastic neural networks; Mathematics -- Periodicals; Computer science -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.285
• DOI: 10.1504/IJCSM.2014.066417
• Languages: English
• ISSNs: 1752-5055

Abstract

This paper is concerned with stability analysis problem for uncertain stochastic neural networks with discrete interval and distributed time-varying delays. The parameter uncertainties are assumed to be norm bounded and the delay is assumed to be time-varying and belong to a given interval, which means that the lower and upper bounds of interval time-varying delays are available. Based on the new Lyapunov-Krasovskii functional and stochastic stability theory, delay-interval dependent stability criteria are obtained in terms of linear matrix inequalities. Finally, two numerical examples and comparisons are given to show the effectiveness of the proposed LMI conditions.