The impulse analysis of the T-S fuzzy singular system via Kronecker index

doi:10.1080/00207721.2019.1587545

CORC > 兰州理工大学 > 兰州理工大学 > 理学院

	The impulse analysis of the T-S fuzzy singular system via Kronecker index
	Jin, Zhenghong 1; Zhang, Qingling 1,2; Meng, Xinyou 3
刊名	INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
	2019-05-14
卷号	50 期号:7 页码:1327-1337
关键词	Impulse regularity Kronecker index generalised Kronecker index T-S fuzzy singular system
ISSN号	0020-7721
DOI	10.1080/00207721.2019.1587545
英文摘要	The problem of impulse analysis is considered for the T-S fuzzy singular system by using the Kronecker index and the generalised Kronecker index in this paper. The T-S singular system is divided into two cases: the uniformly regular T-S fuzzy singular system and the non-uniformly regular T-S fuzzy singular system. The contribution of this paper is twofold. First, a new definition of the generalised Kronecker form is introduced, and the algorithm of finding the generalised Kronecker form is given. Second, two theorems are proved, one is that the uniformly regular T-S fuzzy singular system is impulsive if and only if the Kronecker index is greater than one, the other one is the non-uniformly regular T-S fuzzy singular system is impulsive if and only if the generalised Kronecker index is greater than one. Finally, two numerical simulations and the population model with stage structure are carried out to show the consistency with theoretical analysis and illustrate the effectiveness of the algorithm.
资助项目	National Natural Science Foundation of China[61673100]
WOS研究方向	Automation & Control Systems ; Computer Science ; Operations Research & Management Science
语种	英语
出版者	TAYLOR & FRANCIS LTD
WOS记录号	WOS:000468704000001
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/31865]
专题	理学院
通讯作者	Jin, Zhenghong
作者单位	1.Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Liaoning, Peoples R China 2.Northeastern Univ, Inst Syst Sci, Shenyang, Liaoning, Peoples R China 3.Lanzhou Univ Technol, Sch Sci, Lanzhou, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Jin, Zhenghong,Zhang, Qingling,Meng, Xinyou. The impulse analysis of the T-S fuzzy singular system via Kronecker index[J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE,2019,50(7):1327-1337.
APA	Jin, Zhenghong,Zhang, Qingling,&Meng, Xinyou.(2019).The impulse analysis of the T-S fuzzy singular system via Kronecker index.INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE,50(7),1327-1337.
MLA	Jin, Zhenghong,et al."The impulse analysis of the T-S fuzzy singular system via Kronecker index".INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE 50.7(2019):1327-1337.