The Open Electrical & Electronic Engineering Journal

2016, 11 : 1-13
Published online 2017 January 25. DOI: 10.2174/1874129001711010001
Publisher ID: TOEEJ-11-1

RESEARCH ARTICLE
 Stability Analysis for Stochastic Markovian Jumping Neural Networks with Leakage Delay

Yajun Li1, * , Xisheng Dai2 , Wenping Xiao1 and Like Jiao1

* Address correspondence to this author at Shunde Polytechnic, Desheng East Road, Shunde District, Foshan City, Guangdong province, 528300, China; Tel: 13420841579; Fax: 0757-22322669; E-mail:, lyjfirst@163.com

ABSTRACT

The stability problem for a class of stochastic neural networks with Markovian jump parameters and leakage delay is addressed in this study. The sufficient condition to ensure an exponentially stable stochastic neural networks system is presented and proven with Lyapunov functional theory, stochastic stability technique and linear matrix inequality method. The effect of leakage delay on the stability of the neural networks system is discussed and numerical examples are provided to show the correctness and effectiveness of the research results .

Keywords:

Markovian jumping, Exponentially stable, Linear matrix inequality (LMI), Neural networks, Time-varying delay, Leakage delay.