Deterministic and Stochastic Fixed-Time Stability of Discrete-time Autonomous Systems
文献类型：期刊论文
| 作者 | Farzaneh Tatari; Hamidreza Modares |
| 刊名 | IEEE/CAA Journal of Automatica Sinica
 |
| 出版日期 | 2023 |
| 卷号 | 10期号:4页码:945-956 |
| 关键词 | Discrete-time (DT) systems fixed-time stability nonlinear systems stochastic systems |
| ISSN号 | 2329-9266 |
| DOI | 10.1109/JAS.2023.123405 |
| 英文摘要 | 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. |
| 源URL | [http://ir.ia.ac.cn/handle/173211/51451]  |
| 专题 | 自动化研究所_学术期刊_IEEE/CAA Journal of Automatica Sinica |
| 推荐引用方式 GB/T 7714 | Farzaneh Tatari,Hamidreza Modares. Deterministic and Stochastic Fixed-Time Stability of Discrete-time Autonomous Systems[J]. IEEE/CAA Journal of Automatica Sinica,2023,10(4):945-956. |
| APA | Farzaneh Tatari,&Hamidreza Modares.(2023).Deterministic and Stochastic Fixed-Time Stability of Discrete-time Autonomous Systems.IEEE/CAA Journal of Automatica Sinica,10(4),945-956. |
| MLA | Farzaneh Tatari,et al."Deterministic and Stochastic Fixed-Time Stability of Discrete-time Autonomous Systems".IEEE/CAA Journal of Automatica Sinica 10.4(2023):945-956. |
入库方式： OAI收割
来源：自动化研究所
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