Exponential stability of switched linear impulsive time-varying system and its application |
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| Institution: | 1. School of Mathematical Sciences, University of Jinan, Jinan 250022, China;2. School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China;1. Department of Electrical Engineering, Pohang University of Science and Technology, Pohang, Gyeongbuk 37673, Korea;2. Department of Electrical Engineering and Convergence IT Engineering, Pohang University of Science and Technology, Pohang, Gyeongbuk 37673, Korea;1. School of Mechanical and Electrical Engineering, Soochow University, Suzhou 215021, China;2. School of Automation Science and Electrical Engineering, Beihang University, Beijing 100089, China;3. School of Engineering, Deakin University, Geelong, VIC 3217, Australia;4. School of Control Science and Engineering, Dalian University of Technology, Dalian 1160240, China;1. Polytechnic Department of Engineering and Architecture, University of Udine, Via delle Scienze 206, Udine 33100, Italy;2. Systems Research Institute, Polish Academy of Sciences, Ul. Newelska 6, Warsaw 01-447, Poland;1. School of Internet of Things Engineering, Jiangnan University, Wuxi, 214122, China;2. School of Science, Shandong Jianzhu University, Jinan, 250101, China |
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| Abstract: | This paper aims at the problem of exponential stability for switched linear impulsive time-varying system. By constructing two different switched discretized Lyapunov functions, some new sufficient conditions ensuring the global exponential stability of switched linear impulsive time-varying system are provided, which can be employed to the case when all subsystems are unstable. Furthermore, we apply theoretical results to the consensus of multi-agent system with switching topologies. Finally, numerical examples demonstrate the effectiveness of given results. |
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