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

被引：14

作者：

Tatari, Farzaneh ^{[1
]}

Modares, Hamidreza ^{[1
]}

机构：

[1] Michigan State Univ, Mech Engn Dept, E Lansing, MI 48824 USA

来源：

IEEE-CAA JOURNAL OF AUTOMATICA SINICA | 2023年 / 10卷 / 04期

关键词：

Upper bound; Sensitivity; Autonomous systems; Perturbation methods; Simulation; Stability analysis; Discrete-time (DT) systems; fixed-time stability; nonlinear systems; stochastic systems; PARAMETER-ESTIMATION; MULTIAGENT SYSTEMS; FINITE; DESIGN; IDENTIFICATION; CONSENSUS; STABILIZATION; OBSERVER; THEOREM;

D O I：

10.1109/JAS.2023.123405

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper studies deterministic and stochastic fixed-time 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.

引用

页码：945 / 956

页数：12

共 52 条

[11] Finite-time stability of discrete autonomous systems [J].