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

Jiang, Yanan and Hu, Liangjian and Lu, Jianqiu and Mao, Wei and Mao, Xuerong (2021) Stabilization of hybrid systems by intermittent feedback controls based on discrete-time observations with a time delay. IET Control Theory and Applications. ISSN 1751-8644 (In Press)

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    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. Firstly, 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.

    ORCID iDs

    Jiang, Yanan, Hu, Liangjian, Lu, Jianqiu, Mao, Wei and Mao, Xuerong ORCID logoORCID: https://orcid.org/0000-0002-6768-9864;