Input-to-state stabilization of time-delay systems: An event-triggered hybrid approach with delay-dependent impulses |
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Authors: | Xiang Xie Haiyang Zhang Xinzhi Liu Honglei Xu Xiaodi Li |
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Institution: | 1. School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, PR China;2. Center for Control and Engineering Computation, Shandong Normal University, Jinan 250014, PR China;3. School of Mathematics and Computer Science, Yunnan Minzu University, Kunming 650500, PR China;4. Department of Applied Mathematics, University of Waterloo, Waterloo, ON N2L 3G1, Canada;5. School of Electrical Engineering, Computing and Mathematical Sciences, Curtin University, Perth, WA 6845, Australia;1. Systems Engineering Department, KFUPM, Dhahran 31261, Saudi Arabia;2. School of Automation, Beijing Institute of Technology, Beijing, China |
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Abstract: | This paper studies the input-to-state stabilization problem of nonlinear time-delay systems. A novel event-triggered hybrid controller is proposed, where feedback controller and distributed-delayed impulsive controller are taken into account. By using the Lyapunov-Krasovskii method, sufficient conditions for input-to-state stability are constructed under the designed event-triggered hybrid controller, the relation among control parameters, threshold parameter of the event-triggered mechanism and time delay in the impulsive signals is derived. Compared with the existing results, the obtained input-to-state stability criteria are applicable to time-delay systems with stabilizing delay-dependent impulsive effects and destabilizing ones. Numerical examples are provided to demonstrate the effectiveness of the theoretical results. |
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