Stabilization of hybrid stochastic neutral-type systems with non-differentiable delays under high nonlinearity via discrete-time feedback control

Yueli Huang, Yuan Lv and Quanxin Zhu

Applied Mathematics and Computation, 2025, vol. 495, issue C

Abstract: In this paper, we discuss a kind of unstable hybrid neutral stochastic systems with non-differentiable delays, whose coefficients satisfy polynomial growth conditions. The key purpose of this paper is to develop a controller based on discrete-time observations for both modes and states to achieve stability of the controlled system. We establish some new stability criteria for hybrid neutral-type stochastic systems with non-differentiable delay under high nonlinearity. The sufficient stability criteria of asymptotic stability, exponential stability and H∞ stability are established. Finally, an example is given to verify our theoretical results.

Keywords: Highly nonlinear; Non-differentiable delay; Neutral stochastic system; Discrete-time feedback control (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:495:y:2025:i:c:s0096300325000608

DOI: 10.1016/j.amc.2025.129333

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