Non-Monotonic Lyapunov-Krasovskii Functional Approach to Stability Analysis and Stabilization of Discrete Time-Delay Systems
文献类型：期刊论文
| 作者 | Younes Solgi; Alireza Fatehi; Ala Shariati |
| 刊名 | IEEE/CAA Journal of Automatica Sinica
 |
| 出版日期 | 2020 |
| 卷号 | 7期号:3页码:752-763 |
| 关键词 | Linear matrix inequality (LMI) non-monotonic Lyapunov-Krasovskii functional (NMLKF) pH neutralization plant stabilization state-delay system time-delay system |
| ISSN号 | 2329-9266 |
| DOI | 10.1109/JAS.2020.1003102 |
| 英文摘要 | In this paper, a novel non-monotonic Lyapunov-Krasovskii functional approach is proposed to deal with the stability analysis and stabilization problem of linear discrete time-delay systems. This technique is utilized to relax the monotonic requirement of the Lyapunov-Krasovskii theorem. In this regard, the Lyapunov-Krasovskii functional is allowed to increase in a few steps, while being forced to be overall decreasing. As a result, it relays on a larger class of Lyapunov-Krasovskii functionals to provide stability of a state-delay system. To this end, using the non-monotonic Lyapunov-Krasovskii theorem, new sufficient conditions are derived regarding linear matrix inequalities (LMIs) to study the global asymptotic stability of state-delay systems. Moreover, new stabilization conditions are also proposed for time-delay systems in this article. Both simulation and experimental results on a pH neutralizing process are provided to demonstrate the efficacy of the proposed method. |
| 源URL | [http://ir.ia.ac.cn/handle/173211/42986]  |
| 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 | Younes Solgi,Alireza Fatehi,Ala Shariati. Non-Monotonic Lyapunov-Krasovskii Functional Approach to Stability Analysis and Stabilization of Discrete Time-Delay Systems[J]. IEEE/CAA Journal of Automatica Sinica,2020,7(3):752-763. |
| APA | Younes Solgi,Alireza Fatehi,&Ala Shariati.(2020).Non-Monotonic Lyapunov-Krasovskii Functional Approach to Stability Analysis and Stabilization of Discrete Time-Delay Systems.IEEE/CAA Journal of Automatica Sinica,7(3),752-763. |
| MLA | Younes Solgi,et al."Non-Monotonic Lyapunov-Krasovskii Functional Approach to Stability Analysis and Stabilization of Discrete Time-Delay Systems".IEEE/CAA Journal of Automatica Sinica 7.3(2020):752-763. |
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来源：自动化研究所
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