Stability analysis of neutral stochastic delay differential equations via the vector Lyapunov function method

作者:

Highlights:

• In the case of removing the LGC, the existence of the global solution is proved by establishing a L-operator differential inequality based on VLF with cross item.

• The p-ES and the a-ES of NSDDEs are investigated by employing VLF method without additional restrictive conditions on time-varying delay.

摘要

•In the case of removing the LGC, the existence of the global solution is proved by establishing a L-operator differential inequality based on VLF with cross item.•The p-ES and the a-ES of NSDDEs are investigated by employing VLF method without additional restrictive conditions on time-varying delay.

论文关键词:Neutral stochastic delay differential equations,Vector Lyapunov function,Exponential stability

论文评审过程:Received 26 October 2020, Revised 24 February 2021, Accepted 27 March 2021, Available online 23 April 2021, Version of Record 23 April 2021.

论文官网地址:https://doi.org/10.1016/j.amc.2021.126257