Stochastic Robustness of Delayed Discrete Noises for Delay Differential Equations

Fawaz E. Alsaadi, Lichao Feng, Madini O. Alassafi, Reem M. Alotaibi, Adil M. Ahmad and Jinde Cao
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Fawaz E. Alsaadi: Department of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Lichao Feng: College of Science, North China University of Science and Technology, Tangshan 063210, China
Madini O. Alassafi: Department of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Reem M. Alotaibi: Department of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Adil M. Ahmad: Department of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Jinde Cao: School of Mathematics, Southeast University, Nanjing 210096, China

Mathematics, 2022, vol. 10, issue 5, 1-14

Abstract: Stochastic robustness of discrete noises has already been proposed and studied in the previous work. Nevertheless, the significant phenomenon of delays is left in the basket both in the deterministic and the stochastic parts of the considered equation by the existing work. Stimulated by the above, this paper is devoted to studying the stochastic robustness issue of delayed discrete noises for delay differential equations, including the issues of robust stability and robust boundedness.

Keywords: robust boundedness; robust stability; delayed discrete noises; delay differential equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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