Global asymptotic stability analysis for neutral-type complex-valued neural networks with random time-varying delays. Issue 9 (4th July 2019)

• Record Type: Journal Article
• Authors: Sriraman, R.; Samidurai, R.
• Is Part Of: International journal of systems science. Volume 50:Issue 9(2019)
• Page Start: 1742
• Page End: 1756
• Publication Date: 2019-07-04
• Subjects: Complex-valued neural networks -- Lyapunov–Krasovskii functional -- random time-varying delays -- neutral delay; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2019.1623340
• Languages: English
• ISSNs: 0020-7721

Abstract

ABSTRACT: This paper investigates the global asymptotic stability problem for a class of neutral-type complex-valued neural networks with random time-varying delays. By introducing a stochastic variable with Bernoulli distribution, the information of time-varying delay is assumed to be random time-varying delays. By constructing an appropriate Lyapunov–Krasovskii functional and employing inequality technique, several sufficient conditions are obtained to ensure the global asymptotically stability of equilibrium point for the considered neural networks. The obtained stability criterion is expressed in terms of complex-valued linear matrix inequalities, which can be simply solved by effective YALMIP toolbox in MATLAB. Finally, three numerical examples are given to demonstrate the efficiency of the proposed main results.