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, 15 (16). pp. 2039-2052. 2039-2052. ISSN 1751-8644 (https://doi.org/10.1049/cth2.12160)
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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. 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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Item type: Article ID code: 76117 Dates: DateEvent1 November 2021Published17 August 2021Published Online7 April 2021AcceptedSubjects: Science > Mathematics Department: Faculty of Science > Mathematics and Statistics Depositing user: Pure Administrator Date deposited: 15 Apr 2021 13:50 Last modified: 08 Aug 2024 01:52 URI: https://strathprints.strath.ac.uk/id/eprint/76117