Discrete-time control for highly nonlinear neutral stochastic delay systems

Gongfei Song, Zimeng Zhang, Yanan Zhu and Tao Li

Applied Mathematics and Computation, 2022, vol. 430, issue C

Abstract: This work explores the discrete-time state feedback control problem for neutral stochastic delay systems(NSDSs) in which coefficients satisfy highly nonlinear. Due to the highly nonlinear, the neutral term and discrete time observation value, many conventional methods are not applicable. A more general Lyapunov function is constructed to prove that the designed controller can stabilize the corresponding systems. In addition, H∞-stable, asymptotically stable and exponentially stable of the corresponding studied systems are presented. Then, a numerical case is demonstrated to verify the correctness and validity of the proposed theoretical results.

Keywords: Neutral stochastic delay systems; H∞-stable; Asymptotically stable; Exponentially stable; Lyapunov function (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:430:y:2022:i:c:s0096300322003873

DOI: 10.1016/j.amc.2022.127313

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