| Status | 已发表Published |
| Title | Stabilization of switched systems with time-dependent switching signal |
| Creator | |
| Date Issued | 2020 |
| Source Publication | Journal of the Franklin Institute
 |
| ISSN | 0016-0032 |
| Volume | 357Issue:18Pages:13552-13568 |
| Abstract | The switched system with possible unstable modes is investigated by employing both stabilizing and destabilizing switching instants under the time-dependent switching signal. A new piece-wise Lyapunov function is proposed to distinguish the property of the switching instants with the help of dwell time information. Then, globally exponentially stable conditions of the switched nonlinear system and the switched linear system are derived, respectively, which compensate the state divergence resulted from unstable modes and destabilizing switching instants by stabilizing switching instants. The related result is extended to the controller design of the switched linear system. Besides, for the switched linear systems with pairwise commutative, a necessary and sufficient condition is proposed based on a new time-dependent switching signal, which provides a novel way for the controller design of the switched system. Finally, simulation is presented to show the effectiveness of our results. © 2020 The Franklin Institute |
| DOI | 10.1016/j.jfranklin.2020.10.007 |
| URL | View source |
| Indexed By | SCIE |
| Language | 英语English |
| WOS Research Area | Automation & Control Systems ; Engineering ; Mathematics |
| WOS Subject | Automation & Control Systems ; Engineering, Multidisciplinary ; Engineering, Electrical & Electronic ; Mathematics, Interdisciplinary Applications |
| WOS ID | WOS:000589652000013 |
| Citation statistics | |
| Document Type | Journal article |
| Identifier | http://repository.uic.edu.cn/handle/39GCC9TT/4964 |
| Collection | Research outside affiliated institution |
| Corresponding Author | Wang, Rui |
| Affiliation | 1.Key Laboratory of Intelligent Control and Optimization for Industrial Equipment of Ministry of Education and the School of Control Science and Engineering, Dalian University of Technology, Dalian, 116024, China 2.School of Aeronautics and Astronautics, Key Laboratory of Advanced Technology for Aerospace Vehicles, Liaoning Province, Dalian University of Technology, Dalian, 116024, China 3.Institute for Intelligent Systems, University of Johannesburg, Aucklandpark 2006, Johannesburg, South Africa |
| Recommended Citation GB/T 7714 | Jin, Cuili,Wang, Rui,Wang, Qingguo. Stabilization of switched systems with time-dependent switching signal[J]. Journal of the Franklin Institute, 2020, 357(18): 13552-13568. |
| APA | Jin, Cuili, Wang, Rui, & Wang, Qingguo. (2020). Stabilization of switched systems with time-dependent switching signal. Journal of the Franklin Institute, 357(18), 13552-13568. |
| MLA | Jin, Cuili,et al."Stabilization of switched systems with time-dependent switching signal". Journal of the Franklin Institute 357.18(2020): 13552-13568. |
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