KMS Of Academy of mathematics and systems sciences, CAS
| On quadratic Lyapunov functions | |
| Cheng, DZ; Guo, L; Huang, J | |
| 2003-05-01 | |
| 发表期刊 | IEEE TRANSACTIONS ON AUTOMATIC CONTROL
 |
| ISSN | 0018-9286 |
| 卷号 | 48期号:5页码:885-890 |
| 摘要 | A topological structure, as a subset of [0, 2pi)(L) x R-+(n-1), is proposed for the set of quadratic Lyapunov functions (QLFs) of a given stable linear system. A necessary and sufficient condition for the existence of a common QLF of a finite set of stable matrices is obtained as the positivity of a certain integral. The structure and the conditions are considerably simplified for planar systems. It is also proved that a set of block upper triangular matrices share a common QLF, iff each set of diagonal blocks share a common QLF. |
| 关键词 | common quadratic Lyapunov function (QLF) stabilization switched system |
| DOI | 10.1109/TAC.2003.811274 |
| 语种 | 英语 |
| WOS研究方向 | Automation & Control Systems ; Engineering |
| WOS类目 | Automation & Control Systems ; Engineering, Electrical & Electronic |
| WOS记录号 | WOS:000182870800026 |
| 出版者 | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/19071 |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Cheng, DZ |
| 作者单位 | 1.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China 2.Chinese Univ Hong Kong, Dept Automat & Comp Aided Engn, Hong Kong, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cheng, DZ,Guo, L,Huang, J. On quadratic Lyapunov functions[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2003,48(5):885-890. |
| APA | Cheng, DZ,Guo, L,&Huang, J.(2003).On quadratic Lyapunov functions.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,48(5),885-890. |
| MLA | Cheng, DZ,et al."On quadratic Lyapunov functions".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 48.5(2003):885-890. |
| 条目包含的文件 | 条目无相关文件。 | |||||
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