Stabilization of stochastic nonlinear delay systems driven by Lévy processes

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speaker:Quanxin Zhu

time:  2025.11.29,11:00-12:00 am

 place: Yifu Building 1537

 Abstract

In this talk, we address the stabilization problem for a class of stochastic nonlinear delay systems driven by Lévy processes. By introducing a novel event-triggered strategy and employing techniques from stochastic analysis, we establish sufficient conditions for the practical pth moment exponential stability of the closed-loop system. Unlike many existing works, our approach does not rely on the global Lipschitz condition or linear matrix inequalities (LMIs). Moreover, in contrast to results focusing either on discrete-time stochastic systems or on continuous-time systems with Brownian motion alone, our study specifically targets the event-triggered sampling control of continuous-time systems subject to both time delays and Lévy noise, which encompasses both diffusion and jump components. This leads to a more general framework with broader applicability.

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