A notion of stochastic input-to-state stability and its application to stability of cascaded stochastic nonlinear systems
文献类型：期刊论文
| 作者 | Liu, Shu-jun1; Zhang, Ji-feng2 ; Jiang, Zhong-ping3
|
| 刊名 | ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
 |
| 出版日期 | 2008 |
| 卷号 | 24期号:1页码:141-156 |
| 关键词 | stochastic nonlinear systems stochastic input-to-state stability (SISS) SISS-Lyapunov function |
| ISSN号 | 0168-9673 |
| 英文摘要 | In this paper, the property of practical input-to-state stability and its application to stability of cascaded nonlinear systems are investigated in the stochastic framework. Firstly, the notion of (practical) stochastic input-to-state stability with respect to a stochastic input is introduced, and then by the method of changing supply functions, (a) an (practical) SISS-Lyapunov function for the overall system is obtained from the corresponding Lyapunov functions for cascaded (practical) SISS subsystems. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000255159000012 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6541]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Liu, Shu-jun |
| 作者单位 | 1.SE Univ, Dept Math, Nanjing 210096, Peoples R China 2.Chinese Acad Sci, Key Lab Syst & Control, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Polytech Univ, Dept Elect & Comp Engn, Brooklyn, NY 11201 USA |
| 推荐引用方式 GB/T 7714 | Liu, Shu-jun,Zhang, Ji-feng,Jiang, Zhong-ping. A notion of stochastic input-to-state stability and its application to stability of cascaded stochastic nonlinear systems[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2008,24(1):141-156. |
| APA | Liu, Shu-jun,Zhang, Ji-feng,&Jiang, Zhong-ping.(2008).A notion of stochastic input-to-state stability and its application to stability of cascaded stochastic nonlinear systems.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,24(1),141-156. |
| MLA | Liu, Shu-jun,et al."A notion of stochastic input-to-state stability and its application to stability of cascaded stochastic nonlinear systems".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 24.1(2008):141-156. |
入库方式： OAI收割
来源：数学与系统科学研究院
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