Algorithms to Compute the Largest Invariant Set Contained in an Algebraic Set for Continuous-Time and Discrete-Time Nonlinear Systems

doi:10.1109/JAS.2019.1911819

CASIA OpenIR > 学术期刊 > IEEE/CAA Journal of Automatica Sinica

	Algorithms to Compute the Largest Invariant Set Contained in an Algebraic Set for Continuous-Time and Discrete-Time Nonlinear Systems
	Laura Menini; Corrado Possieri; Antonio Tornambè
发表期刊	IEEE/CAA Journal of Automatica Sinica
ISSN	2329-9266
	2020
卷号	7 期号:1 页码:57-69
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.
关键词	Asymptotic stability discrete-time systems invariance nonlinear systems
DOI	10.1109/JAS.2019.1911819
引用统计	被引频次：3[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/42922
专题	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.

条目包含的文件
文件名称/大小	文献类型	版本类型	开放类型	使用许可
JAS-2019-0309.pdf（2021KB）	期刊论文	出版稿	开放获取	CC BY-NC-SA	浏览下载