Asymptotic stability of fractional neutral stochastic systems with variable delays. (January 2021)

• Record Type: Journal Article
• Authors: Lu, Ziqiang; Zhu, Yuanguo; Xu, Qinqin
• Is Part Of: European journal of control. Volume 57(2021)
• Page Start: 119
• Page End: 124
• Publication Date: 2021-01
• Subjects: Caputo fractional derivative -- Neutral stochastic differential equation -- Mean-square asymptotic stability -- Banach's contraction principle; Control theory -- Periodicals; Automatic control -- Periodicals; Automatic control -- Mathematics -- Periodicals; Electronic journals; 629.805
• DOI: 10.1016/j.ejcon.2020.05.005
• Languages: English
• ISSNs: 0947-3580

Abstract

Abstract: This paper mainly concerns with the stability of nonlinear Caputo fractional neutral stochastic differential system with variable delay. A sufficient condition is derived to ensure that the trivial solution is mean-square asymptotically stable by employing the Banach's contraction principle, in which the boundedness of delays is not required. An illustrative example is provided to show the efficiency of our results.