Deterministic and Stochastic Fixed-Time Stability of Discrete-time Autonomous Systems  

作　　者：Farzaneh Tatari Hamidreza Modares 

机构地区：[1]Mechanical Engineering Department,Michigan State University,Michigan 48824-1226 USA

出　　处：《IEEE/CAA Journal of Automatica Sinica》2023年第4期945-956,共12页自动化学报（英文版）

基　　金：This work relates to Department of Navy award N00014-22-1-2159 issued by the Office of Naval Research。

摘　　要：This paper studies deterministic and stochastic fixedtime stability of autonomous nonlinear discrete-time(DT)systems.Lyapunov conditions are first presented under which the fixed-time stability of deterministic DT systems is certified.Extensions to systems under deterministic perturbations as well as stochastic noise are then considered.For the former,sensitivity to perturbations for fixed-time stable DT systems is analyzed,and it is shown that fixed-time attractiveness results from the presented Lyapunov conditions.For the latter,sufficient Lyapunov conditions for fixed-time stability in probability of nonlinear stochastic DT systems are presented.The fixed upper bound of the settling-time function is derived for both fixed-time stable and fixed-time attractive systems,and a stochastic settling-time function fixed upper bound is derived for stochastic DT systems.Illustrative examples are given along with simulation results to verify the introduced results.

关 键 词：Discrete-time(DT)systems fixed-time stability nonlinear systems stochastic systems 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]