Abstract and Applied Analysis

Global $\mu$-Stability Analysis for Impulsive Stochastic Neural Networks with Unbounded Mixed Delays

Abstract

We investigate the global $\mu$-stability in the mean square of impulsive stochastic neural networks with unbounded time-varying delays and continuous distributed delays. By choosing an appropriate Lyapunov-Krasovskii functional, a novel robust stability condition, in the form of linear matrix inequalities, is derived. These sufficient conditions can be tested by MATLAB LMI software packages. The results extend and improve the earlier publication. Two numerical examples are provided to illustrate the effectiveness of the obtained theoretical results.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2012), Article ID 746241, 12 pages.

Dates
First available in Project Euclid: 26 February 2014

https://projecteuclid.org/euclid.aaa/1393450527

Digital Object Identifier
doi:10.1155/2013/746241

Mathematical Reviews number (MathSciNet)
MR3039141

Zentralblatt MATH identifier
1271.93170

Citation

Yin, Lizi; Wang, Xinchun. Global $\mu$ -Stability Analysis for Impulsive Stochastic Neural Networks with Unbounded Mixed Delays. Abstr. Appl. Anal. 2013, Special Issue (2012), Article ID 746241, 12 pages. doi:10.1155/2013/746241. https://projecteuclid.org/euclid.aaa/1393450527

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