The almost sure stability for uncertain delay differential equations based on normal lipschitz conditions

作者：

Highlights：

• Two kinds of normal Lipschitz conditions weaker than the strong Lipschitz condition are proposed.

• Two theorems for UDDEs being the almost sure stability based on normal Lipschitz conditions are proved.

• A class of UDDEs being the almost sure stability is verified without any limited condition.

摘要

•Two kinds of normal Lipschitz conditions weaker than the strong Lipschitz condition are proposed.•Two theorems for UDDEs being the almost sure stability based on normal Lipschitz conditions are proved.•A class of UDDEs being the almost sure stability is verified without any limited condition.

论文关键词：Almost sure stability,Liu process,Uncertain delay differential equation,Uncertainty theory

论文评审过程：Received 11 July 2021, Revised 20 October 2021, Accepted 26 December 2021, Available online 10 January 2022, Version of Record 10 January 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126903