Positivity and stability of timescale-type linear singular systems with time delays

doi:10.1007/s11432-022-3517-7

CSpace

	Positivity and stability of timescale-type linear singular systems with time delays
	Lu, Xiaodong 1,2; Li, Haitao 1; Zhang, Xianfu 3
	2022-12-01
发表期刊	SCIENCE CHINA-INFORMATION SCIENCES
ISSN	1674-733X
卷号	65 期号:12 页码:16
摘要	This paper investigates positivity and stability problems of timescale-type delayed linear singular systems (LSSs). The existing results put an extremely strict constraint on the time-delay function. By introducing a novel function, this constraint is successfully removed, which generalizes the scope of the considered systems. Then, some necessary and sufficient criteria are proposed for the positivity of LSSs with bounded and infinite time-varying delays. Finally, the exponential (asymptotical) stability of LSSs with bounded (infinite) time-varying delays is analyzed. The derived results are also applicable to timescale-type differential-difference systems (DDSs). Compared with the existing stability criteria of DDSs with bounded time-varying delays, the strict limit on the parameter related to the convergence rate is eliminated. Hence, the conservatism of the existing results can be reduced. Moreover, when investigating stability of DDSs with infinite time-varying delays, this paper proposes a less conservative stability theorem. To illustrate the validity of the derived results, an example is presented regarding LSSs with bounded and infinite time-varying delays.
关键词	positivity stability time delay linear singular systems timescale-type systems
DOI	10.1007/s11432-022-3517-7
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[62003195] ; National Natural Science Foundation of China[62073202]
WOS研究方向	Computer Science ; Engineering
WOS类目	Computer Science, Information Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000880333600001
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60690
专题	中国科学院数学与系统科学研究院
通讯作者	Lu, Xiaodong
作者单位	1.Shandong Normal Univ, Sch Math & Stat, Jinan 250358, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 3.Shandong Univ, Sch Control Sci & Engn, Jinan 250014, Peoples R China
推荐引用方式 GB/T 7714	Lu, Xiaodong,Li, Haitao,Zhang, Xianfu. Positivity and stability of timescale-type linear singular systems with time delays[J]. SCIENCE CHINA-INFORMATION SCIENCES,2022,65(12):16.
APA	Lu, Xiaodong,Li, Haitao,&Zhang, Xianfu.(2022).Positivity and stability of timescale-type linear singular systems with time delays.SCIENCE CHINA-INFORMATION SCIENCES,65(12),16.
MLA	Lu, Xiaodong,et al."Positivity and stability of timescale-type linear singular systems with time delays".SCIENCE CHINA-INFORMATION SCIENCES 65.12(2022):16.