Stability in mean for uncertain delay differential equations based on new Lipschitz conditions

作者:

Highlights:

• The new Lipschitz condition weaker than the strong Lipschitz condition is proposed.

• Two theorem s for UDDEs being stable in mean based on new Lipschitz condition s are proved.

• A special class of UDDEs being stable in mean are verified without any limited condition.

摘要

•The new Lipschitz condition weaker than the strong Lipschitz condition is proposed.•Two theorem s for UDDEs being stable in mean based on new Lipschitz condition s are proved.•A special class of UDDEs being stable in mean are verified without any limited condition.

论文关键词:Stability in mean,Liu process,Uncertain process,Uncertain delay differential equations

论文评审过程:Received 12 December 2020, Revised 12 January 2021, Accepted 31 January 2021, Available online 10 February 2021, Version of Record 10 February 2021.

论文官网地址:https://doi.org/10.1016/j.amc.2021.126050