Some Improved Razumikhin Stability Criteria for Impulsive Stochastic Delay Differential Systems

• Published in: IEEE transactions on automatic control Vol. 64; no. 12; pp. 5207 - 5213
• Main Authors: Hu, Wei, Zhu, Quanxin, Karimi, Hamid Reza
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.12.2019; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: <inline-formula xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"> <tex-math notation="LaTeX"> p</tex-math> </inline-formula>th moment exponential stability; Asymptotic stability; Control theory; Delay; Delays; Impulsive stochastic delay differential system; Razumikhin condition; Razumikhin theorem; Stability criteria; Stochastic processes
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2019.2911182

This paper is devoted to study the Razumikhin stability theorem for a class of impulsive stochastic delay differential systems. By developing a new lemma, stochastic analysis technique, and Razumikhin approach, several novel criteria of the pth moment exponential stability are derived for the relate...