Exponential stability of stochastic cellular neural networks with mixed delays. Issue 19 (2nd October 2018)

• Record Type: Journal Article
• Authors: Li, Xiaofei; Ding, Deng; Sang, Di
• Is Part Of: Communications in statistics. Volume 47:Issue 19(2018)
• Page Start: 4881
• Page End: 4894
• Publication Date: 2018-10-02
• Subjects: Almost sure exponential stability -- Delays -- Inequality techniques -- pth moment exponential stability -- Stochastic cellular neural networks; 60H15 -- 60G15 -- 34D23; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2018.1459710
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: In this paper, almost sure exponential stability and p th moment exponential stability of stochastic cellular neural networks with mixed delays are investigated. Employing the methods of stochastic analysis, the Lyapunov's method, and useful inequality techniques, a sufficient condition ensuring the almost sure exponential stability and p th moment exponential stability is obtained. Two examples are given to illustrate this sufficient condition.