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Stabilization of hybrid stochastic differential equations with multiple delays via intermittent control.

Authors :
Zhang, Bingrui
Wu, Ailong
Source :
Mathematical Methods in the Applied Sciences. Mar2024, Vol. 47 Issue 4, p2941-2951. 11p.
Publication Year :
2024

Abstract

In this paper, we study stability of hybrid stochastic differential equations (SDEs) with multiple delays by intermittent control based on time‐varying delay observations. By constructing an auxiliary non‐delayed hybrid stochastic differential equation and using M$$ M $$‐matrix theory, Lyapunov method, and the comparison principle, sufficient criterions to guarantee the q$$ q $$th moment exponential stability and almost sure exponential stability of hybrid SDEs are derived. Finally, a simulation example is shown to illustrate the validity of theoretical results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01704214
Volume :
47
Issue :
4
Database :
Academic Search Index
Journal :
Mathematical Methods in the Applied Sciences
Publication Type :
Academic Journal
Accession number :
175388196
Full Text :
https://doi.org/10.1002/mma.9786