Algorithms to Compute the Largest Invariant Set Contained in an Algebraic Set for Continuous-Time and Discrete-Time Nonlinear Systems
文献类型：期刊论文
| 作者 | Laura Menini; Corrado Possieri; Antonio Tornambè |
| 刊名 | IEEE/CAA Journal of Automatica Sinica
 |
| 出版日期 | 2020 |
| 卷号 | 7期号:1页码:57-69 |
| 关键词 | Asymptotic stability discrete-time systems invariance nonlinear systems |
| ISSN号 | 2329-9266 |
| DOI | 10.1109/JAS.2019.1911819 |
| 英文摘要 | In this paper, some computational tools are proposed to determine the largest invariant set, with respect to either a continuous-time or a discrete-time system, that is contained in an algebraic set. In particular, it is shown that if the vector field governing the dynamics of the system is polynomial and the considered analytic set is a variety, then algorithms from algebraic geometry can be used to solve the considered problem. Examples of applications of the method (spanning from the characterization of the stability to the computation of the zero dynamics) are given all throughout the paper. |
| 源URL | [http://ir.ia.ac.cn/handle/173211/42922]  |
| 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 | Laura Menini,Corrado Possieri,Antonio Tornambè. Algorithms to Compute the Largest Invariant Set Contained in an Algebraic Set for Continuous-Time and Discrete-Time Nonlinear Systems[J]. IEEE/CAA Journal of Automatica Sinica,2020,7(1):57-69. |
| APA | Laura Menini,Corrado Possieri,&Antonio Tornambè.(2020).Algorithms to Compute the Largest Invariant Set Contained in an Algebraic Set for Continuous-Time and Discrete-Time Nonlinear Systems.IEEE/CAA Journal of Automatica Sinica,7(1),57-69. |
| MLA | Laura Menini,et al."Algorithms to Compute the Largest Invariant Set Contained in an Algebraic Set for Continuous-Time and Discrete-Time Nonlinear Systems".IEEE/CAA Journal of Automatica Sinica 7.1(2020):57-69. |
入库方式： OAI收割
来源：自动化研究所
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