Discrete-time feedback stabilization for neutral stochastic functional differential equations driven by G-Lévy process

Haiyan Yuan and Quanxin Zhu

Chaos, Solitons & Fractals, 2023, vol. 166, issue C

Abstract: This paper mainly discusses the exponential stability of neutral stochastic functional differential equations with G-Lévy jump. For a given mean square exponential unstable neutral stochastic differential equations with G-Lévy jump, a discrete-time feedback control in the drift part is designed to realize feedback stability and the H∞ stable càdlàg solution of corresponding systems is obtained. The upper bound of state observation duration of the corresponding systems is derived by extending Mao′s method. Further up, the exponential stabilization conditions are established and some exponential stabilities of the solutions are proved by using the G-Lyapunov functional method. Moreover, an example is presented to verify the obtained results.

Keywords: Neutral stochastic functional differential equations; G-Brownian motion; Lévy jumps; Delay feedback control; Stabilization (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:166:y:2023:i:c:s0960077922011602

DOI: 10.1016/j.chaos.2022.112981

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