The asymptotic stability of hybrid stochastic systems with pantograph delay and non-Gaussian Lévy noise

Mao, Wei and Hu, Liangjian and Mao, Xuerong (2020) The asymptotic stability of hybrid stochastic systems with pantograph delay and non-Gaussian Lévy noise. Journal of the Franklin Institute, 357 (2). pp. 1174-1198. ISSN 0016-0032

[img] Text (Mao-etal-JFI-2019-The-asymptotic-stability-of-hybrid-stochastic-systems-with-pantograph-delay)
Mao_etal_JFI_2019_The_asymptotic_stability_of_hybrid_stochastic_systems_with_pantograph_delay.pdf
Accepted Author Manuscript
Restricted to Repository staff only until 5 December 2020.
License: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 logo

Download (167kB) | Request a copy from the Strathclyde author

    Abstract

    The main aim of this paper is to investigate the asymptotic stability of hybrid stochastic systems with pantograph delay and non-Gaussian Lévy noise (HSSwPDLNs). Under the local Lipschitz condition and non-linear growth condition, we investigate the existence and uniqueness of the solution to HSSwPDLNs. By using the Lyapunov functions and M-matrix theory, we establish some sufficient conditions on the asymptotic stability and polynomial stability for HSSwPDLNs. Finally, two examples are provided to illustrate our results.