Practical exponential stability of stochastic delayed systems with G-Brownian motion via vector G-Lyapunov function

Dejun Zhu

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 199, issue C, 307-316

Abstract: This paper deals with practical stability problem for nonlinear stochastic delayed systems with G-Brownian motion (GSDSs). Practical stability can describe qualitative behavior and quantitative properties of systems in comparison with traditional Lyapunov stability theory. By employing stochastic analysis technique, Razumikhin-type theorem and vector G-Lyapunov function, new sufficient conditions for pth moment practical exponential stability of GSDSs are proposed. Finally, two examples are presented to verify the feasibility of theoretical results.

Keywords: Practical stability; Razumikhin-type theorem; Vector G-Lyapunov function (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:199:y:2022:i:c:p:307-316

DOI: 10.1016/j.matcom.2022.04.002

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