Open AccessStabilization of hybrid systems by intermittent feedback controls based on discrete‐time observations with a time delay
Author(s) -
Jiang Yanan,
Hu Liangjian,
Lu Jianqiu,
Mao Wei,
Mao Xuerong
Publication year - 2021
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/cth2.12160
Subject(s) - control theory (sociology) , discrete time and continuous time , intermittent control , nonlinear system , mathematics , stability (learning theory) , stochastic differential equation , hybrid system , differential (mechanical device) , state (computer science) , computer science , control (management) , control engineering , algorithm , engineering , physics , statistics , quantum mechanics , artificial intelligence , machine learning , aerospace engineering
This paper mainly investigates stabilization of hybrid stochastic differential equations (SDEs) via periodically intermittent feedback controls based on discrete‐time state observations with a time delay. First, by using the theory of M‐matrix and intermittent control strategy, we establish sufficient conditions for the stability of hybrid SDEs. Then, we prove the intermittent stabilization for a given unstable nonlinear hybrid SDE by comparison theorem. Two numerical examples are discussed to support our results of theoretical analysis.