Stabilization in distribution by delay feedback controls for hybrid stochastic delay differential equations
Li, Yuyuan and You, Surong and Lu, Jianqiu and Jiang, Yanan and Hu, Liangjian and Mao, Xuerong (2023) Stabilization in distribution by delay feedback controls for hybrid stochastic delay differential equations. International Journal of Systems Science, 54 (5). pp. 1070-1086. ISSN 0020-7721 (https://doi.org/10.1080/00207721.2022.2160675)
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Abstract
This article aims to design a linear delay feedback control to stabilize an unstable hybrid stochastic delay differential equation in distribution. Under the global Lip- schitz condition, sufficient criteria are established to guarantee the stability of the controlled system. Then LMI techniques are employed to design the control law in two structure forms: state feedback and output injection.
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Item type: Article ID code: 83585 Dates: DateEvent7 March 2023Published11 December 2022AcceptedSubjects: Science > Mathematics > Probabilities. Mathematical statistics Department: Faculty of Science > Mathematics and Statistics Depositing user: Pure Administrator Date deposited: 20 Dec 2022 14:53 Last modified: 28 Mar 2024 01:48 URI: https://strathprints.strath.ac.uk/id/eprint/83585