Robust stability of uncertain second-order linear time-varying systems |
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| Institution: | 1. School of Automation Engineering, Northeast Electric Power University, Jilin 132012, China;2. School of Engineering, University of South Wales, Pontypridd, CF37 1DL, UK;3. Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001, China;1. Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001, Heilongjiang, China;2. School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610097, Sichuan, China;1. School of Automation and Electrical Engineering, University of Science and Technology Beijing, China;2. Key Laboratory of Knowledge Automation for Industrial Processes, Ministry of Education Beijing 100083, China;3. National Center for Mathematics and Interdisciplinary Sciences & Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, China;4. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China;1. School of Information Science and Engineering, Shandong Normal University, Jinan 250014, China;2. School of Automation, Harbin Engineering University, Harbin 150001, China;3. School of Computer, Liaocheng University, Liaocheng 252059, China;4. School of Engineering, Qufu Normal University, Rizhao 276826, China;1. Research Institute of Petroleum Industry (RIPI), Tehran, P.O. Box: 14665-1998, Iran;2. R&D Department, Bonian Daneshpajouhan Institute, Gholhak Junc., Tehran, Iran |
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| Abstract: | This paper is concerned with robust stability analysis of second-order linear time-varying (SLTV) systems with time-varying uncertainties (perturbations). With the specific Lyapunov functions, a simple and neat algebraic criterion for testing uniformly asymptotic stability of SLTV systems are derived. Without transformation to a system of first-order equations, the new conditions are imposed directly on the time-varying coefficient matrices of the system. The main feature of the proposed algebraic criterion is that the uncertain coefficient matrices are time-varying and not necessarily symmetric. Finally, the proposed stability conditions are used to design the extending space structures system of the spacecraft. Simulation results are provided to illustrate the convenience and effectiveness of the proposed method. |
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