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International Journal of Control Volume 77, 2004 - Issue 4
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Original Articles

A robust stabilizing law for switched linear systems

Zhendong Sun Hamilton Institute, National University of Ireland, Maynooth, Co. Kildare, Ireland
Pages 389-398 | Received 01 Jun 2003, Accepted 19 Jan 2004, Published online: 19 Feb 2007

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Jinjin Liu, Kanjian Zhang & Haikun Wei. (2016) Robust stability of positive switched systems with dwell time. International Journal of Systems Science 47:11, pages 2553-2562.
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Bin Zhou, Guang-Bin Cai & Guang-Ren Duan. (2013) Stabilisation of time-varying linear systems via Lyapunov differential equations. International Journal of Control 86:2, pages 332-347.
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A. Ibeas & M. de la Sen. (2006) ARTIFICIAL INTELLIGENCE AND GRAPH THEORY TOOLS FOR DESCRIBING SWITCHED LINEAR CONTROL SYSTEMS. Applied Artificial Intelligence 20:9, pages 703-741.
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Zhida Fan, Fenglan Wang & Lijun Long. (2023) Prescribed performance event‐triggered control for MIMO switched nonlinear systems with unstable subsystems. International Journal of Robust and Nonlinear Control 34:2, pages 866-887.
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Zhanjie LiYajing MaDong YueJun Zhao. (2023) Guaranteed Dwell-Times of Hysteresis Switching for Switched Nonlinear Systems via Switching Characteristic Indices. SIAM Journal on Control and Optimization 61:3, pages 1610-1630.
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Mohammad Ali Bagherzadeh & Jafar Ghaisari. (2022) Reducing conservatism in robust stability analysis and stabilisation of arbitrary switched linear systems. IET Control Theory & Applications 16:6, pages 638-647.
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Le Zhang, Yue Wang & Hong Yang. (2020) Observer-based memory state feedback control for switched fuzzy systems. Observer-based memory state feedback control for switched fuzzy systems.
Tao Sun, Xi-Ming Sun, Yongfeng Gao & Pengfei Sun. (2020) Stabilizability analysis of logical networks with switching signal and control input. Nonlinear Analysis: Hybrid Systems 36, pages 100875.
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Carolina Albea Sanchez, Germain Garcia, Sabrina Hadjeras, W. P. M. H. Heemels & Luca Zaccarian. (2019) Practical Stabilization of Switched Affine Systems With Dwell-Time Guarantees. IEEE Transactions on Automatic Control 64:11, pages 4811-4817.
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Bin Liu, Jinxia Huang, Meng Yang & Dong-Nan Liu. (2018) Exponential Stabilization via Event-triggered Control for Linear Discrete-time Delayed Systems. Exponential Stabilization via Event-triggered Control for Linear Discrete-time Delayed Systems.
Mohammad Bagher Abolhasani Jabali & Mohammad Hosein Kazemi. (2017) A New Polytopic Modeling with Uncertain Vertices and Robust Control of Robot Manipulators. Journal of Control, Automation and Electrical Systems 28:3, pages 349-357.
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Bin Zhou. (2016) On asymptotic stability of linear time-varying systems. Automatica 68, pages 266-276.
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Mohammad Ali Bagherzadeh, Jafar Ghaisari & Javad Askari. (2016) Robust stabilization of switched linear systems via static state feedback and switching with dwell time. Robust stabilization of switched linear systems via static state feedback and switching with dwell time.
Xingwen Liu. (2016) Stability of perturbed switched homogeneous systems with delays and uncertainties. IET Control Theory & Applications 10:6, pages 684-691.
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Mohamad Ali Bagherzadeh, Jafar Ghaisari & Javad Askari. (2016) Robust exponential stability and stabilisation of parametric uncertain switched linear systems under arbitrary switching. IET Control Theory & Applications 10:4, pages 381-390.
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D. J. W. Simpson & R. Kuske. (2014) Stochastically perturbed sliding motion in piecewise-smooth systems. Discrete & Continuous Dynamical Systems - B 19:9, pages 2889-2913.
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Shipei Huang & Zhengrong Xiang. (2013) Robust L∞ reliable control for uncertain switched nonlinear systems with time delay under asynchronous switching. Applied Mathematics and Computation 222, pages 658-670.
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Zhengrong Xiang, Shilong Liu & Qingwei Chen. (2012) Tracking control for a class of switched non-linear systems with time-varying delay. Transactions of the Institute of Measurement and Control 35:3, pages 398-406.
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Zhengrong Xiang, Shilong Liu & Qingwei Chen. (2012) An improved exponential stability criterion for discrete-time switched non-linear systems with time-varying delays. Transactions of the Institute of Measurement and Control 35:3, pages 353-359.
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Wang Ronghao, Qian Zhigen, Xing Jianchun, Wang Ping & Yang Qiliang. (2013) Finite-time reliable stabilization for switched stochastic systems under asynchronous switching. Finite-time reliable stabilization for switched stochastic systems under asynchronous switching.
Le Zhang & Jinnan Wu. (2013) Reliable Control for Time-Varying Delay Switched Fuzzy Systems with Faulty Actuators Based on Observers Switching Method. Mathematical Problems in Engineering 2013, pages 1-12.
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Shilong Liu, Zhengrong Xiang & Qingwei Chen. (2012) Stability and stabilization of a class of switched nonlinear systems with time-varying delay. Applied Mathematics and Computation 218:23, pages 11534-11546.
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Zhendong Sun. (2012) Robust switching of discrete-time switched linear systems. Automatica 48:1, pages 239-242.
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H. Gao, G. Feng, G.-R. Duan & A.-G. Wu. (2011) Stabilising slow-switching laws for switched discrete-time linear systems. IET Control Theory & Applications 5:16, pages 1843-1858.
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Li-li Li, Jun Zhao & Georgi M. Dimirovski. (2011) Observer-based reliable exponential stabilization and control for switched systems with faulty actuators: An average dwell time approach. Nonlinear Analysis: Hybrid Systems 5:3, pages 479-491.
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Zhengrong Xiang Ronghao Wang. (2010) Robust stabilization of discrete-time switched non-linear systems with time delay under asynchronous switching. Transactions of the Institute of Measurement and Control 33:5, pages 591-609.
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Zhengrong Xiang, Ronghao Wang & Qingwei Chen. (2011) Robust reliable stabilization of stochastic switched nonlinear systems under asynchronous switching. Applied Mathematics and Computation 217:19, pages 7725-7736.
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Le Zhang, Xiao-Dong Liu & Hong Yang. (2011) Robust reliable control for uncertain time-delay switched fuzzy systems via observers switching. Robust reliable control for uncertain time-delay switched fuzzy systems via observers switching.
Xiongping Dai. (2011) Weakly Birkhoff recurrent switching signals, almost sure and partial stability of linear switched dynamical systems. Journal of Differential Equations 250:9, pages 3584-3629.
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Z R Xiang, R H Wang & Q W Chen. (2011) Robust stabilization of uncertain stochastic switched non-linear systems under asynchronous switching. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 225:1, pages 8-20.
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Zhengrong Xiang, Ronghao Wang & Bin Jiang. (2010) Nonfragile Observer for Discrete-Time Switched Nonlinear Systems with Time Delay. Circuits, Systems, and Signal Processing 30:1, pages 73-87.
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Zhendong Sun & Shuzhi Sam GeZhendong Sun & Shuzhi Sam Ge. 2011. Stability Theory of Switched Dynamical Systems. Stability Theory of Switched Dynamical Systems 127 195 .
Jiandong Xiong & Zhendong Sun. (2010) An improved combined switching strategy for switched linear systems. An improved combined switching strategy for switched linear systems.
Jie Lian & Jun Zhao. (2010) Robust H-infinity integral sliding mode control for a class of uncertain switched nonlinear systems. Journal of Control Theory and Applications 8:4, pages 521-526.
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Jizhong Wang, Changxue Zhang & Yuejin Zhang. (2010) Study on the Sliding Mode of the Planar Switched Systems. Study on the Sliding Mode of the Planar Switched Systems.
Zhengrong Xiang, Ronghao Wang & Qingwei Chen. (2010) Fault tolerant control of switched nonlinear systems with time delay under asynchronous switching. International Journal of Applied Mathematics and Computer Science 20:3, pages 497-506.
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Ai-Guo Wu, Gang Feng, Guang-Ren Duan & Huijun Gao. (2010) A stabilizing slow-switching law for switched discrete-time linear systems. A stabilizing slow-switching law for switched discrete-time linear systems.
Le Zhang, Xiaodong Liu & Hong Yang. (2010) Robust reliable control for a class of uncertain switched fuzzy systems based on observers switching. Robust reliable control for a class of uncertain switched fuzzy systems based on observers switching.
Ai-Guo Wu, Gang Feng & Xianlin Zeng. (2010) State feedback stabilizing switching strategies with dwell time for switched discrete-time linear systems. State feedback stabilizing switching strategies with dwell time for switched discrete-time linear systems.
Hong Yang, Daren Chen & Le Zhang. (2010) Robust fault-tolerant control for a class of uncertain switched fuzzy systems. Robust fault-tolerant control for a class of uncertain switched fuzzy systems.
Zhengrong Xiang & Qingwei Chen. (2010) Robust reliable control for uncertain switched nonlinear systems with time delay under asynchronous switching. Applied Mathematics and Computation 216:3, pages 800-811.
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J. Zhao, X.-J. Liu, Q.-K. Li & G.M. Dimirovski. (2010) State convergence property of perturbed switched linear time-delay systems. IET Control Theory & Applications 4:2, pages 273-281.
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Jie Lian, Jun Zhao & Georgi M. Dimirovski. (2010) Integral Sliding Mode Control for a Class of Uncertain Switched Nonlinear Systems. European Journal of Control 16:1, pages 16-22.
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Z.R. Xiang & R.H. Wang. (2009) Robust control for uncertain switched non-linear systems with time delay under asynchronous switching. IET Control Theory & Applications 3:8, pages 1041-1050.
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Le Zhang, Shuliang Li & Hong Yang. (2009) Robust adaptive reliable tracking control for a class of uncertain switched fuzzy systems. Robust adaptive reliable tracking control for a class of uncertain switched fuzzy systems.
Qing-Kui Li, Georgi M. Dimirovski, Jun Zhao & Xiang-Jie Liu. (2009) Stability and convergence of perturbed switched linear time-delay systems. Stability and convergence of perturbed switched linear time-delay systems.
Zhengrong Xiang & Ronghao Wang. (2009) Robust L∞ reliable control for uncertain nonlinear switched systems with time delay. Applied Mathematics and Computation 210:1, pages 202-210.
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Zhengrong Xiang & Ronghao Wang. (2009) Non‐fragile observer design for nonlinear switched systems with time delay. International Journal of Intelligent Computing and Cybernetics 2:1, pages 175-189.
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M. De La Sen. (2009) On the Necessary and Sufficient Condition for a Set of Matrices to Commute and Some Further Linked Results. Mathematical Problems in Engineering 2009, pages 1-24.
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Jie Lian & Jun Zhao. (2009) Output feedback variable structure control for a class of uncertain switched systems. Asian Journal of Control 11:1, pages 31-39.
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Zhengrong Xiang & Ronghao Wang. (2008) Robust reliable control for uncertain switched nonlinear systems with time delay. Robust reliable control for uncertain switched nonlinear systems with time delay.
Zhendong Sun. (2008) Stabilizability and robustness of switched linear systems: An aggregation approach. Stabilizability and robustness of switched linear systems: An aggregation approach.
Chian-Song Chiu & Kuang-Yow Lian. (2008) Hybrid Fuzzy Model-Based Control of Nonholonomic Systems: A Unified Viewpoint. IEEE Transactions on Fuzzy Systems 16:1, pages 85-96.
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Zhendong Sun. (2008) Robust Switching of Switched Linear Systems. IFAC Proceedings Volumes 41:2, pages 11526-11529.
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Jie Lian, Georgi M. Dimirovski & Jun Zhao. (2008) Stabilizability of Uncertain Switched Systems via Static/Dynamic Output Feedback Sliding Mode Control. IFAC Proceedings Volumes 41:2, pages 8624-8629.
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Le Zhang, Cvetko Andreeski, Georgi M. Dimirovski & Yuan-Wei Jing. (2008) Reliable Adaptive Control for Switched Fuzzy Systems. IFAC Proceedings Volumes 41:2, pages 7636-7641.
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F. Long, S. Fei & S. Zheng. (2008) STATE FEEDBACK SINGULAR H ∞ CONTROL FOR SWITCHED LINEAR SYSTEMS. Control and Intelligent Systems 36:1.
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Zhijian Ji, Xiaoxia Guo, Long Wang & Guangming Xie. (2008) ROBUST H ∞ CONTROL AND QUADRATIC STABILIZATION OF DISCRETE‐TIME SWITCHED SYSTEMS WITH NORM‐BOUNDED TIME‐VARYING UNCERTAINTIES . Asian Journal of Control 9:3, pages 352-361.
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Yuping Zhang, Hong Zhu & Shouming Zhong. (2007) Robust non-fragile H¿ Control for a Class of Switched Neutral Systems. Robust non-fragile H¿ Control for a Class of Switched Neutral Systems.
M. de la Sen. (2007) Quadratic stability and stabilization of switched dynamic systems with uncommensurate internal point delays. Applied Mathematics and Computation 185:1, pages 508-526.
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A. Ibeas & M. De La Sen. (2006) Robustly Stable Adaptive Control of a Tandem of Master–Slave Robotic Manipulators With Force Reflection by Using a Multiestimation Scheme. IEEE Transactions on Systems, Man and Cybernetics, Part B (Cybernetics) 36:5, pages 1162-1179.
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Zhijian Ji, Xiaoxia Guo, Long Wang & Guangming Xie. (2006) Robust H∞ Control and Stabilization of Uncertain Switched Linear Systems: A Multiple Lyapunov Functions Approach. Journal of Dynamic Systems, Measurement, and Control 128:3, pages 696-700.
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Z. Sun. (2006) Combined Stabilizing Strategies for Switched Linear Systems. IEEE Transactions on Automatic Control 51:4, pages 666-674.
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Zhendong Sun & Shuzhi S. Ge. (2006) On stability of switched linear systems with perturbed switching paths. Journal of Control Theory and Applications 4:1, pages 18-25.
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H. Oya & K. Hagino. (2006) Adaptive Robust Stabilizing Controllers for a Class of Uncertain Switched Linear Systems. Adaptive Robust Stabilizing Controllers for a Class of Uncertain Switched Linear Systems.
Zhijian Ji & Long Wang. (2005) Robust H//sub∞/ control and quadratic stabilization of uncertain discrete-time switched linear systems. Robust H//sub∞/ control and quadratic stabilization of uncertain discrete-time switched linear systems.
Zhendong Sun & Shuzhi Sam Ge. 2005. Switched Linear Systems. Switched Linear Systems 57 116 .

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