Stabilisation in distribution by delay feedback controls for hybrid stochastic delay differential equations

Yuyuan Li, Surong You, Jianqiu Lu, Yanan Jiang, Liangjian Hu and Xuerong Mao

International Journal of Systems Science, 2023, vol. 54, issue 5, 1070-1086

Abstract: This article aims to design a linear delay feedback control to stabilise an unstable hybrid stochastic delay differential equation in distribution. Under the global Lipschitz 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.

Date: 2023
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DOI: 10.1080/00207721.2022.2160675

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