Stability analysis of impulsive stochastic delayed differential systems with infinite delay or finite delay and average-delay impulses. Issue 16 (October 2021)

• Record Type: Journal Article
• Authors: Xu, Haofeng; Zhu, Quanxin
• Is Part Of: Journal of the Franklin Institute. Volume 358:Issue 16(2021)
• Page Start: 8593
• Page End: 8608
• Publication Date: 2021-10
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2021.08.030
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: This paper is devoted to investigate p th moment exponential stability of impulsive stochastic delayed differential systems with average-delay impulses by using average dwell time (ADT) as well as average impulsive delay (AID) condition. The main idea of the research is to overcome the influences caused by time-varying delay in continuous dynamics and handle average-delay impulses integrally. Some new criteria based on the related systems are derived, which extends many models and looses some restrictions compared with existing works. Furthermore, two examples are discussed to account for the validity of the theoretical results.