Discrete-time control for highly nonlinear neutral stochastic delay systems
作者：
Highlights：
• The aim of this paper is to design a discrete-time observation feedback controller for stabilizing the highly nonlinear NSDSs. It is worth noting that the highly nonlinear means that the coefficients in the drift and diffusion part fulfill not only the locally Lipschitz term but also the polynomial growth condition. We cope with the computational difficulties due to the neutral term, highly nonlinear coefficients and discrete time observations.
• The studied systems involve two time delays in this work. The first delay is a positive constant of the system itself, and the second delay is time-varying which is generated by the control law.
• A more general Lyapunov functional is constructed in this thesis. Then, H_infinity-stable, asymptotically stable and exponentially stable of the corresponding system are explored.
摘要
•The aim of this paper is to design a discrete-time observation feedback controller for stabilizing the highly nonlinear NSDSs. It is worth noting that the highly nonlinear means that the coefficients in the drift and diffusion part fulfill not only the locally Lipschitz term but also the polynomial growth condition. We cope with the computational difficulties due to the neutral term, highly nonlinear coefficients and discrete time observations.•The studied systems involve two time delays in this work. The first delay is a positive constant of the system itself, and the second delay is time-varying which is generated by the control law.•A more general Lyapunov functional is constructed in this thesis. Then, H_infinity-stable, asymptotically stable and exponentially stable of the corresponding system are explored.
论文关键词：Neutral stochastic delay systems,H∞-stable,Asymptotically stable,Exponentially stable,Lyapunov function
论文评审过程：Received 14 December 2021, Revised 30 May 2022, Accepted 7 June 2022, Available online 12 June 2022, Version of Record 12 June 2022.
论文官网地址：https://doi.org/10.1016/j.amc.2022.127313
