Containment control for second-order multi-agent systems with time-varying delays |
| |
| Affiliation: | 1. School of Mathematics, Qingdao University, Qingdao, Shandong 266071, China;2. State Key Laboratory for Turbulence and Complex Systems and College of Engineering, Peking University, Beijing 100871, China;3. School of Electrical and Electronics Engineering, East China Jiaotong University, Nanchang 330013, China;1. Research Center for Complex Systems and Network Sciences, Department of Mathematics, Southeast University, Nanjing 210096, China;2. Department of Mathematics and Physics, Nanjing Institute of Technology, Nanjing 211167, China;3. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;1. School of Automation, Image Processing and Intelligent Control Key Laboratory of Education Ministry of China, Huazhong University of Science and Technology, Luoyu Road 1037, Wuhan 430074, China;2. Department of Mechanical Engineering, The University of Hong Kong, Hong Kong;1. School of Mathematics and Physics, University of Science and Technology Beijing, Beijing, 100083, China;2. State Key Laboratory of Management and Control for Complex Systems, Institute of Automation, Chinese Academy of Sciences, Beijing, 100190, China;1. State Key Laboratory of Management and Control for Complex Systems, Institute of Automation, Chinese Academy of Sciences, Beijing 100190, China;2. School of Information and Electrical Engineering, Shangdong Jianzhu University, Jinan 250101, China;1. School of Automation Science and Electronic Engineering, Science and Technology on Aircraft Control Laboratory, Beihang University, Beijing 100191, PR China;2. Department of Automation, TNlist, Tsinghua University, Beijing 100084, PR China |
| |
| Abstract: | This paper considers the containment control problem for second-order multi-agent systems with time-varying delays. Both the containment control problem with multiple stationary leaders and the problem with multiple dynamic leaders are investigated. Sufficient conditions on the communication digraph, the feedback gains, and the allowed upper bound of the delays to ensure containment control are given. In the case that the leaders are stationary, the Lyapunov–Razumikhin function method is used. In the case that the leaders are dynamic, the Lyapunov–Krasovskii functional method and the linear matrix inequality (LMI) method are jointly used. A novel discretized Lyapunov functional method is introduced to utilize the upper bound of the derivative of the delays no matter how large it is, which leads to a better result on the allowed upper bound of the delays to ensure containment control. Finally, numerical simulations are provided to illustrate the effectiveness of the obtained theoretical results. |
| |
| Keywords: | Containment control problem Multi-agent systems Time-varying delays Digraph |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
