Stability analysis for nonlinear Markov jump neutral stochastic functional differential systems
作者：
Highlights：
• The rigorous constraint of global Lipschitz condition for the delay parts of the drift coeffcients is weakened to our Assumption 5, which can be specially applicable to the situation of the high nonlinearity for delay parts of the drift coeffcients.
• Except for the asymptotic stability, the matter of exponential decay speed is creatively investigated by designing a new type of functionals, whose criteria depend on the intervals lengths of continuous delays.
• The degenerate functionals are triumphantly imported into such complicated stochastic systems to survey the stability property.
摘要
•The rigorous constraint of global Lipschitz condition for the delay parts of the drift coeffcients is weakened to our Assumption 5, which can be specially applicable to the situation of the high nonlinearity for delay parts of the drift coeffcients.•Except for the asymptotic stability, the matter of exponential decay speed is creatively investigated by designing a new type of functionals, whose criteria depend on the intervals lengths of continuous delays.•The degenerate functionals are triumphantly imported into such complicated stochastic systems to survey the stability property.
论文关键词：Neutral stochastic functional differential systems,Markov jump,Exponential stability,Multiple degenerate functionals
论文评审过程：Received 13 June 2020, Revised 26 September 2020, Accepted 1 November 2020, Available online 24 November 2020, Version of Record 19 December 2020.
论文官网地址：https://doi.org/10.1016/j.amc.2020.125782
