pth moment polynomial input-to-state stability of switched neutral pantograph stochastic hybrid systems with Lévy noise

Peilin Yu, Feiqi Deng, Fangzhe Wan and Xiongding Liu

International Journal of Systems Science, 2022, vol. 53, issue 15, 3145-3153

Abstract: This article discusses pth ( $ p\geq 1 $ p≥1) moment polynomial integral input-to-state stability (iISS) and $ (t+1)^{\theta _0} $ (t+1)θ0-weighted integral input-to-state stability ( $ (t+1)^{\theta _0} $ (t+1)θ0-weighted iISS) of the switched neutral pantograph stochastic hybrid systems with Lévy noise (SNPSHSs-LN) provided that all dynamical subsystems are input-to-state stability (ISS). Under the linear growth hypothesis, the criteria of ISS-type characterisation are deduced by using random analysis techniques, Lyapunov stability theory and some useful inequality techniques on the basis of the dynamic conditions of the system itself, which is an improvement on existing results about neutral systems. Finally, the theoretical results are demonstrated with a numerical example.

Date: 2022
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DOI: 10.1080/00207721.2022.2070795

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