DOI: 10.1093/imamci/dnag022 ISSN: 0265-0754
Exponential stability of neutral stochastic impulsive switched systems with Lévy noise under non-Lipschitz conditions
Jiangman Li, Shuo Ma, Shaojuan Ma, Haiyang Zhang, Qiang LiAbstract
This paper focuses on the stability of a category of neutral stochastic impulsive switched systems driven by Lévy noise. Without considering the Lipschitz conditions, it is demonstrated that the neutral stochastic impulsive switched system has a unique global solution under non-Lipschitz conditions. Then, utilizing the mode-dependent average dwell time method along with an upper bound on the infinitesimal generator, sufficient conditions for the exponential stability are established. Finally, consider two examples of the systems that meet the Lipschitz conditions and the non-Lipschitz conditions, illustrating the efficacy of our theoretical findings.