Global stabilization of switched control systems with time delay |
| |
| Affiliation: | 1. College of Science, Department of Mathematics, China University of Petroleum—Beijing, 102249, China;2. Department of Mathematics and Statistics, Curtin University, Perth, WA 6845, Australia;1. Department of Mathematical Sciences, College of Science, UAE University, Al Ain, 15551, United Arab Emirates;3. Department of Electrical Engineering, Yeungnam University, Republic of Korea;1. Departamento de Matemática, IBILCE–UNESP, Rua C. Colombo, 2265, CEP 15054-000, S. J. Rio Preto, São Paulo, Brazil;2. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain;3. Departamento de Matemática, Universidade Estadual de Campinas, Rua Sérgio Baruque de Holanda, 651, Cidade Universitária Zeferino Vaz, CEP 13083-859, Campinas, São Paulo, Brazil;1. College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, PR China;2. Department of Applied Mathematics, University of Western Ontario, London, Ontario N6A 5B7, Canada;1. Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin 150001, China;2. Communication Systems and Networks (CSN) Research Group, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia;3. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;4. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan |
| |
| Abstract: | In this paper, the stabilization problem of switched control systems with time delay is investigated for both linear and nonlinear cases. First, a new global stabilizability concept with respect to state feedback and switching law is given. Then, based on multiple Lyapunov functions and delay inequalities, the state feedback controller and the switching law are devised to make sure that the resulting closed-loop switched control systems with time delay are globally asymptotically stable and exponentially stable. |
| |
| Keywords: | Switched control systems Stabilizability Time delay |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
