Lyapunov function of general Lurie systems with multiple nonlinearities
文献类型：期刊论文
| 作者 | Gan, ZX; Han, JQ |
| 刊名 | APPLIED MATHEMATICS LETTERS
 |
| 出版日期 | 2003 |
| 卷号 | 16期号:1页码:119-126 |
| 关键词 | general Lurie system multinonlinear feedback absolute stability Lyapunov function |
| ISSN号 | 0893-9659 |
| 英文摘要 | In this paper, the absolute stability problem of general Lurie control system with multiple nonlinearities is investigated. Some new necessary and sufficient conditions are obtained for the existence of Lyapunov function of extended Lurie form with negative definite and negative semidefinite derivatives. From these conditions, some very general algebraic criteria for absolute stability are obtained, which extend and generalize previous work on the subject. A numerical example is presented to illustrate the effectiveness of the new criteria. (C) 2002 Elsevier Science Ltd. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000179408900018 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18034]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Gan, ZX |
| 作者单位 | Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Gan, ZX,Han, JQ. Lyapunov function of general Lurie systems with multiple nonlinearities[J]. APPLIED MATHEMATICS LETTERS,2003,16(1):119-126. |
| APA | Gan, ZX,&Han, JQ.(2003).Lyapunov function of general Lurie systems with multiple nonlinearities.APPLIED MATHEMATICS LETTERS,16(1),119-126. |
| MLA | Gan, ZX,et al."Lyapunov function of general Lurie systems with multiple nonlinearities".APPLIED MATHEMATICS LETTERS 16.1(2003):119-126. |
入库方式： OAI收割
来源：数学与系统科学研究院
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