Positivity and stability of timescale-type linear singular systems with time delays
文献类型：期刊论文
| 作者 | Lu, Xiaodong1,2; Li, Haitao2; Zhang, Xianfu3 |
| 刊名 | SCIENCE CHINA-INFORMATION SCIENCES
 |
| 出版日期 | 2022-12-01 |
| 卷号 | 65期号:12页码:16 |
| ISSN号 | 1674-733X |
| 关键词 | positivity stability time delay linear singular systems timescale-type systems |
| DOI | 10.1007/s11432-022-3517-7 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| 出版者 | SCIENCE PRESS |
| WOS记录号 | WOS:000880333600001 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60689]  |
| 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.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 2.Shandong Normal Univ, Sch Math & Stat, Jinan 250358, 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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