pth-Moment Stabilization of Hybrid Stochastic Differential Equations by Discrete-Time Feedback Control

O212; The given unstable hybrid stochastic differential equation is stabilized in the sense of pth-moment exponential stability.We achieve the results by feedback controls based on the discrete-time state and mode observations.The upper bound on the duration between two consecutive observations is o...

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Bibliographic Details
Published in东华大学学报（英文版） Vol. 40; no. 5; pp. 560 - 570
Main Authors LU Yun, LU Jianqiu
Format Journal Article
LanguageEnglish
Published 31.10.2023
Subjects
Brownian motion
Markov chain
moment exponential stability
exponential stability
feedback control
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Summary:O212; The given unstable hybrid stochastic differential equation is stabilized in the sense of pth-moment exponential stability.We achieve the results by feedback controls based on the discrete-time state and mode observations.The upper bound on the duration between two consecutive observations is obtained as well.Finally,a numerical example is given to verify the validity of the theoretical conclusions.
ISSN:1672-5220
DOI:10.19884/j.1672-5220.202209001