Adaptive control for a class of nonlinear complex dynamical systems with uncertain complex parameters and perturbations
文献类型：期刊论文
| 作者 | Liu, Jian1; Liu, Kexin2; Liu, Shutang3 |
| 刊名 | PLOS ONE
 |
| 出版日期 | 2017-05-03 |
| 卷号 | 12期号:5页码:16 |
| ISSN号 | 1932-6203 |
| DOI | 10.1371/journal.pone.0175730 |
| 英文摘要 | In this paper, adaptive control is extended from real space to complex space, resulting in a new control scheme for a class of n-dimensional time-dependent strict-feedback complex-variable chaotic (hyperchaotic) systems (CVCSs) in the presence of uncertain complex parameters and perturbations, which has not been previously reported in the literature. In detail, we have developed a unified framework for designing the adaptive complex scalar controller to ensure this type of CVCSs asymptotically stable and for selecting complex update laws to estimate unknown complex parameters. In particular, combining Lyapunov functions dependent on complex-valued vectors and back-stepping technique, sufficient criteria on stabilization of CVCSs are derived in the sense of Wirtinger calculus in complex space. Finally, numerical simulation is presented to validate our theoretical results. |
| 资助项目 | National Nature Science Foundation of China[61533011] ; National Nature Science Foundation of China[61273088] ; National Nature Science Foundation of China[61473133] ; Nature Science Foundation of Shandong Province, China[ZR2014FL015] ; Nature Science Foundation of Shandong Province, China[ZR2015AL015] ; Doctoral Research Foundation of University of Jinan[XBS1531] ; Foundation for University Young Key Teacher Program of Shandong Provincial Education Department, China |
| WOS研究方向 | Science & Technology - Other Topics |
| 语种 | 英语 |
| WOS记录号 | WOS:000400647000024 |
| 出版者 | PUBLIC LIBRARY SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/25427]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Liu, Jian |
| 作者单位 | 1.Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, Jian,Liu, Kexin,Liu, Shutang. Adaptive control for a class of nonlinear complex dynamical systems with uncertain complex parameters and perturbations[J]. PLOS ONE,2017,12(5):16. |
| APA | Liu, Jian,Liu, Kexin,&Liu, Shutang.(2017).Adaptive control for a class of nonlinear complex dynamical systems with uncertain complex parameters and perturbations.PLOS ONE,12(5),16. |
| MLA | Liu, Jian,et al."Adaptive control for a class of nonlinear complex dynamical systems with uncertain complex parameters and perturbations".PLOS ONE 12.5(2017):16. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。