Advanced search
Publication Cover
International Journal of Control Volume 81, 2008 - Issue 6
Submit an article Journal homepage
538
Views
68
CrossRef citations to date
0
Altmetric
Original Articles

Finite-time stabilization of linear systems via impulsive control

L. Liu Department of Mathematics, Tongji University, Shanghai, 200092, China
&
J. Sun Department of Mathematics, Tongji University, Shanghai, 200092, ChinaCorrespondence[email protected]
Pages 905-909 | Received 23 Feb 2007, Accepted 16 Jun 2007, Published online: 09 Feb 2011

Citations (68)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (8)

Junhui Zhang, Qing-Guo Wang & Jitao Sun. (2020) On finite-time stability of nonautonomous nonlinear systems. International Journal of Control 93:4, pages 783-787.
Read now
Xiangze Lin, Zhonglin Yang & Shihua Li. (2019) Finite-time boundedness and finite-time weighted L2-gain analysis for a class of neutral type switched systems with time-varying delays. International Journal of Systems Science 50:9, pages 1703-1717.
Read now
Yijing Wang, Xiaomeng Shi, Zhiqiang Zuo, Yuhua Liu & Michael Z.Q. Chen. (2014) Finite-time stability analysis of impulsive discrete-time switched systems with nonlinear perturbation. International Journal of Control 87:11, pages 2365-2371.
Read now
Yeguo Sun. (2014) Finite-time boundedness and stabilisation of networked control systems with bounded packet dropout. International Journal of Systems Science 45:9, pages 1963-1969.
Read now
Wei Yang & Jitao Sun. (2013) Finite-time stability of quantum systems governed by Schrödinger’s equation. International Journal of Control 86:6, pages 1131-1136.
Read now
Jia Xu & Jitao Sun. (2013) Finite-time stability of nonlinear switched impulsive systems. International Journal of Systems Science 44:5, pages 889-895.
Read now
Weiming Xiang & Jian Xiao. (2013) Finite-time stability and stabilisation for switched linear systems. International Journal of Systems Science 44:2, pages 384-400.
Read now
Shouwei Zhao, Jitao Sun & Li Liu. (2008) Finite-time stability of linear time-varying singular systems with impulsive effects. International Journal of Control 81:11, pages 1824-1829.
Read now

Articles from other publishers (60)

Mo-Ran Liu, Zhen Wu, Xian Du & Zhongyang Fei. (2024) Finite-time and bumpless transfer control of asynchronously switched systems: An output feedback control approach. Journal of the Franklin Institute 361:3, pages 1566-1581.
Crossref
Huijun Xiong, Chao Yang & Wenhao Li. (2023) Fixed-time synchronization problem of coupled delayed discontinuous neural networks via indefinite derivative method. Electronic Research Archive 31:3, pages 1625-1640.
Crossref
梓昕 周. (2023) An Optimal Control Problem for Nonlinear Systems with Perturbations. Pure Mathematics 13:03, pages 468-475.
Crossref
Xiaoli Luan, Shuping He & Fei LiuXiaoli Luan, Shuping He & Fei Liu. 2023. Robust Control for Discrete-Time Markovian Jump Systems in the Finite-Time Domain. Robust Control for Discrete-Time Markovian Jump Systems in the Finite-Time Domain 1 19 .
Chao Yang, Yicheng Liu & Lihong Huang. (2022) Finite-time and fixed-time stabilization of multiple memristive neural networks with nonlinear coupling. Cognitive Neurodynamics 16:6, pages 1471-1483.
Crossref
Charuwat Chantawat & Thongchai Botmart. (2022) Finite-time H∞ synchronization control for coronary artery chaos system with input and state time-varying delays. PLOS ONE 17:4, pages e0266706.
Crossref
Pei Cheng, Chengtian Lu & Ting Cai. (2022) Finite‐time stability of impulsive stochastic delayed systems. Mathematical Methods in the Applied Sciences.
Crossref
Deqiang Ouyang, Jie Shao, Haijun Jiang, Shiping Wen & Sing Kiong Nguang. (2021) Finite-time stability of coupled impulsive neural networks with time-varying delays and saturating actuators. Neurocomputing 453, pages 590-598.
Crossref
Yue Song, Yi Zhang, Song Yang & Na Li. (2021) Investigation on stability and controller design for singular bio-economic systems with stochastic fluctuations. Mathematical Biosciences and Engineering 18:3, pages 2991-3005.
Crossref
Xiangze Lin, Wanli Zhang, Zhonglin Yang & Yun Zou. (2020) Finite‐time boundedness of switched systems with time‐varying delays via sampled‐data control. International Journal of Robust and Nonlinear Control 30:7, pages 2953-2976.
Crossref
Huitao Yang & Yu Zhang. (2019) Finite-Time Stability of Homogeneous Impulsive Positive Systems of Degree One. Circuits, Systems, and Signal Processing 38:11, pages 5323-5341.
Crossref
Meng-Jie Hu, Yan-Wu Wang & Jiang-Wen Xiao. (2019) On finite-time stability and stabilization of positive systems with impulses. Nonlinear Analysis: Hybrid Systems 31, pages 275-291.
Crossref
Junhui Zhang, Jitao Sun & Qing‐Guo Wang. (2018) Finite‐time stability of non‐linear systems with impulsive effects due to logic choice. IET Control Theory & Applications 12:11, pages 1644-1648.
Crossref
M. Syed Ali & S. Saravanan. (2016) Finite-time $$\bf{{\it{L}}_2}$$ L 2 -gain analysis for switched neural networks with time-varying delay. Neural Computing and Applications 29:4, pages 975-984.
Crossref
Yeguo Sun. (2017) Finite-time analysis and synthesis for networked control systems with bounded packet dropouts. Finite-time analysis and synthesis for networked control systems with bounded packet dropouts.
Yeguo Sun. (2017) Finite-time bounded and boundedness of networked control systems with random time delay and packet dropout. Finite-time bounded and boundedness of networked control systems with random time delay and packet dropout.
Xiangze Lin, Shihua Li & Yun Zou. (2017) Finite-time stabilization of switched linear time-delay systems with saturating actuators. Applied Mathematics and Computation 299, pages 66-79.
Crossref
M. Syed Ali & S. Saravanan. (2016) Robust finite-time H∞ control for a class of uncertain switched neural networks of neutral-type with distributed time varying delays. Neurocomputing 177, pages 454-468.
Crossref
Chang-Chun Hua, Shao-Chong Yu & Xin-Ping Guan. (2015) Finite-time control for a class of networked control systems with short time-varying delays and sampling jitter. International Journal of Automation and Computing 12:4, pages 448-454.
Crossref
Sun Yeguo & Liu Heng. (2015) Finite-time stabilization and boundedness for time-varying networked control system. Finite-time stabilization and boundedness for time-varying networked control system.
Yingying Cai & Lijun Gao. (2015) The finite-time stability of nonlinear impulsive delay systems. The finite-time stability of nonlinear impulsive delay systems.
Damiano Rotondo, Fatiha Nejjari & Vicenc Puig. (2015) Shifting finite time stability and boundedness design for continuous-time LPV systems. Shifting finite time stability and boundedness design for continuous-time LPV systems.
Guangdeng Zong, Ruihua Wang, Weixing Zheng & Linlin Hou. (2013) Finite‐time H  ∞  control for discrete‐time switched nonlinear systems with time delay . International Journal of Robust and Nonlinear Control 25:6, pages 914-936.
Crossref
Xueling Li, Xiangze Lin, Shihua Li & Yun Zou. (2015) Finite-time stability of switched nonlinear systems with finite-time unstable subsystems. Journal of the Franklin Institute 352:3, pages 1192-1214.
Crossref
Xiaoming Su & Adiya Bao. (2015) Robust Finite-Time Control for Linear Time-Varying Descriptor Systems with Jumps . Mathematical Problems in Engineering 2015, pages 1-9.
Crossref
Yijing Wang, Yuhua Liu & Zhiqiang Zuo. (2014) Finite‐time boundedness of switched delay systems: the reciprocally convex approach. IET Control Theory & Applications 8:15, pages 1575-1580.
Crossref
Xiangze Lin, Shihua Li & Yun Zou. (2014) Finite‐time stability of switched linear systems with subsystems which are not finite‐time stable. IET Control Theory & Applications 8:12, pages 1137-1146.
Crossref
Zhiqiang Zuo, Guodong Hu & Yijing Wang. (2014) Finite-time stabilization of linear systems with actuator fault and quantization. Finite-time stabilization of linear systems with actuator fault and quantization.
Xiangze Lin, Xueling Li, Shihua Li & Yun Zou. (2014) Finite-time stability analysis of switched nonlinear systems with finite-time unstable subsystems. Finite-time stability analysis of switched nonlinear systems with finite-time unstable subsystems.
Lijun Gao, Yuqiang Wu & Hao Shen. (2014) Exponential Stability of Nonlinear Impulsive and Switched Time-Delay Systems with Delayed Impulse Effects. Circuits, Systems, and Signal Processing 33:7, pages 2107-2129.
Crossref
Xiangze Lin, Xueling Li, Yun Zou & Shihua Li. (2014) Finite-time stabilization of switched linear systems with nonlinear saturating actuators. Journal of the Franklin Institute 351:3, pages 1464-1482.
Crossref
Sheng Li, Yi Qing Wang & Bao Lin Hou. (2014) Terminal Sliding Mode Control of the Flexible Manipulator. Applied Mechanics and Materials 530-531, pages 1026-1031.
Crossref
Biao Xia, Jie Lian, Cheng Shao & Peng Shi. (2014) Finite-time Stability Analysis of Switched Linear Singular Systems. IFAC Proceedings Volumes 47:3, pages 6013-6018.
Crossref
Minsong Zhang. (2014) Finite-Time Stability and Stabilization of Nonlinear Quadratic Systems with Jumps. Mathematical Problems in Engineering 2014, pages 1-5.
Crossref
Yeguo Sun & Guanjun Li. (2014) Finite-Time Stability and Stabilization of Networked Control Systems with Bounded Markovian Packet Dropout. Discrete Dynamics in Nature and Society 2014, pages 1-6.
Crossref
Thaned Rojsiraphisal & Jirapong Puangmalai. (2014) An Improved Finite-Time Stability and Stabilization of Linear System with Constant Delay. Mathematical Problems in Engineering 2014, pages 1-7.
Crossref
Francesco Amato, Roberto Ambrosino, Marco Ariola, Carlo Cosentino & Gianmaria De TommasiFrancesco Amato, Roberto Ambrosino, Marco Ariola, Carlo Cosentino & Gianmaria De Tommasi. 2014. Finite-Time Stability and Control. Finite-Time Stability and Control 91 113 .
Weiming Xiang, Jian Xiao & Lu Han. (2013) $\mathcal{H}_{\infty}$ Control Synthesis for Short-Time Markovian Jump Continuous-Time Linear Systems. Circuits, Systems, and Signal Processing 32:6, pages 2799-2820.
Crossref
Fu Chen, Shengyuan Xu, Yun Zou & Minsong Zhang. (2013) Finite‐time boundedness and stabilisation for a class of non‐linear quadratic time‐delay systems with disturbances. IET Control Theory & Applications 7:13, pages 1683-1688.
Crossref
Linlin Hou, Guangdeng Zong & Yuqiang Wu. (2012) Observer-based finite-time exponential l 2 − l ∞ control for discrete-time switched delay systems with uncertainties . Transactions of the Institute of Measurement and Control 35:3, pages 310-320.
Crossref
Hongliang Liu, Huibo Zhou, Shan Ding & Peichen Wang. (2013) Finite-time control of sampled-data systems. Finite-time control of sampled-data systems.
Xiangze Lin, Haibo Du, Shihua Li & Yun Zou. (2013) Finite‐time stability and finite‐time weighted L 2 ‐gain analysis for switched systems with time‐varying delay . IET Control Theory & Applications 7:7, pages 1058-1069.
Crossref
Yijing Wang, Xiaomeng Shi, Zhiqiang Zuo, Michael Z.Q. Chen & Yitian Shao. (2013) On finite-time stability for nonlinear impulsive switched systems. Nonlinear Analysis: Real World Applications 14:1, pages 807-814.
Crossref
Guangdeng Zong, Ruihua Wang, Wei Xing Zheng & Linlin Hou. (2013) Finite-time stabilization for a class of switched time-delay systems under asynchronous switching. Applied Mathematics and Computation 219:11, pages 5757-5771.
Crossref
Shuangyun Xing, Qingling Zhang & Yi Zhang. (2013) Finite-Time Stability Analysis and Control for a Class of Stochastic Singular Biological Economic Systems Based on T-S Fuzzy Model. Abstract and Applied Analysis 2013, pages 1-10.
Crossref
Zhiguo Yan, Guoshan Zhang & Weihai Zhang. (2012) Finite‐Time Stability and Stabilization of Linear Itô Stochastic Systems with State and Control‐Dependent Noise. Asian Journal of Control 15:1, pages 270-281.
Crossref
Yi Qing Wang, Qing Wei Chen & Bao Lin Hou. (2012) Research on Finite-Time Control Method for the Flexible Manipulator. Applied Mechanics and Materials 220-223, pages 1772-1777.
Crossref
Jia Xu & Jitao Sun. (2012) Finite-time filtering for discrete-time linear impulsive systems. Signal Processing 92:11, pages 2718-2722.
Crossref
Yijing Wang, Gai Wang, Xiaomeng Shi & Zhiqiang Zuo. (2012) Finite-Time Stability Analysis of Impulsive Switched Discrete-Time Linear Systems: The Average Dwell Time Approach. Circuits, Systems, and Signal Processing 31:5, pages 1877-1886.
Crossref
Chao Liu & Zhengrong Xiang. (2012) Robust H<inf>&#x221E;</inf> finite-time stabilization of nonlinear impulsive switched system with time-delays. Robust H<inf>&#x221E;</inf> finite-time stabilization of nonlinear impulsive switched system with time-delays.
Jianeng Tang, Cairong Zou, Li Zhao, Xinzhou Xu & Xuanmin Du. (2012) Impulsive Stabilization for Control and Synchronization of Complex Networks with Coupling Delays. Journal of the Physical Society of Japan 81:1, pages 014003.
Crossref
Jian Guo, Chao Liu & Zhengrong Xiang. (2012) Robust Finite-Time Control for Impulsive Switched Nonlinear Systems with State Delay . Mathematical Problems in Engineering 2012, pages 1-25.
Crossref
Yeguo Sun & Jin Xu. (2012) Finite-Time Boundedness and Stabilization of Networked Control Systems with Time Delay. Mathematical Problems in Engineering 2012, pages 1-12.
Crossref
Jia Xu, Jitao Sun & Dong Yue. (2012) Stochastic Finite-Time Stability of Nonlinear Markovian Switching Systems With Impulsive Effects. Journal of Dynamic Systems, Measurement, and Control 134:1.
Crossref
Shu Gao & Xiaoli Zhang. (2011) Fault-tolerant control with finite-time stability for switched linear systems. Fault-tolerant control with finite-time stability for switched linear systems.
Xiangze Lin, Haibo Du & Shihua Li. (2011) Finite-time boundedness and L2-gain analysis for switched delay systems with norm-bounded disturbance. Applied Mathematics and Computation 217:12, pages 5982-5993.
Crossref
J. Sun & J. Xu. (2010) Finite-time stability of linear time-varying singular impulsive systems. IET Control Theory & Applications 4:10, pages 2239-2244.
Crossref
Haibo Du, Xiangze Lin & Shihua Li. (2009) Finite-time stability and stabilization of switched linear systems. Finite-time stability and stabilization of switched linear systems.
Y. Dai, X. Xu & Y. Cai. (2009) Synchronisation analysis and impulsive control of complex networks with coupling delays. IET Control Theory & Applications 3:9, pages 1167-1174.
Crossref
. (2008) Robust and nonlinear control literature survey (No. 8). International Journal of Robust and Nonlinear Control 18:15, pages 1507-1511.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.