Stabilization of hybrid systems by intermittent feedback controls based on discrete‐time observations with a time delay

Autor: Yanan Jiang, Liangjian Hu, Jianqiu Lu, Wei Mao, Xuerong Mao
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: IET Control Theory & Applications, Vol 15, Iss 16, Pp 2039-2052 (2021)
Druh dokumentu: article
ISSN: 1751-8652
1751-8644
DOI: 10.1049/cth2.12160
Popis: Abstract 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.
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