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International Journal of Control Volume 87, 2014 - Issue 5
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Original Articles

Lyapunov approach to the boundary stabilisation of a beam equation with boundary disturbance

Bao-Zhu GuoAcademy of Mathematics and Systems Science, Academia Sinica, Beijing100190, China;School of Computational and Applied Mathematics, University of the Witwatersrand, Wits 2050, Johannesburg, South Africa;King Abdulaziz University, Jeddah, Saudi ArabiaCorrespondence[email protected]
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Wen KangAcademy of Mathematics and Systems Science, Academia Sinica, Beijing100190, ChinaView further author information
Pages 925-939 | Received 03 Apr 2013, Accepted 30 Oct 2013, Published online: 20 Dec 2013

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Zhan-Dong Mei. (2022) Dynamic stabilisation for an Euler–Bernoulli beam equation with boundary control and matched nonlinear disturbance. International Journal of Control 95:3, pages 626-640.
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YingFeng Shang & Genqi Xu. (2019) Dynamic control of an Euler–Bernoulli equation with time-delay and disturbance in the boundary control. International Journal of Control 92:1, pages 27-41.
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K. D. Do. (2018) Modelling and boundary control of slender curved beams. International Journal of Control 91:8, pages 1873-1895.
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Zhijie Liu, Jinkun Liu & Wei He. (2017) Vibration control of a flexible aerial refuelling hose with input saturation. International Journal of Systems Science 48:5, pages 971-983.
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Ya-Ping Guo & Jun-Min Wang. (2016) The active disturbance rejection control of the rotating disk–beam system with boundary input disturbances. International Journal of Control 89:11, pages 2322-2335.
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Dongyi Liu, Liping Zhang & Genqi Xu. (2015) Stabilisation of Timoshenko beam system with a tip payload under the unknown boundary external disturbances. International Journal of Control 88:9, pages 1830-1840.
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Tingting Meng & Wei HeTingting Meng & Wei He. 2020. Iterative Learning Control for Flexible Structures. Iterative Learning Control for Flexible Structures 1 13 .
Ya-Ping Guo & Jun-Min Wang. (2019) Stabilization of a rotating flexible structure subject to matched input disturbances. Transactions of the Institute of Measurement and Control 41:10, pages 2864-2874.
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Shan Li, Wen Kang & Da-Wei Ding. (2019) Observer-Based H ∞ Fuzzy Control for 1-D Parabolic PDEs Using Point Measurements . Observer-Based H ∞ Fuzzy Control for 1-D Parabolic PDEs Using Point Measurements .
Yu‐Long Zhang, Jun‐Min Wang & Ya‐Ping Guo. (2019) Input‐to‐state stability of an ODE‐heat cascade system with disturbances. IET Control Theory & Applications 13:2, pages 191-202.
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Mou Chen, Yong Ren & Jianye Liu. (2018) Antidisturbance Control for a Suspension Cable System of Helicopter Subject to Input Nonlinearities. IEEE Transactions on Systems, Man, and Cybernetics: Systems 48:12, pages 2292-2304.
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Zhijie Liu, Jinkun Liu & Wei He. (2018) Robust adaptive fault tolerant control for a linear cascaded ODE-beam system. Automatica 98, pages 42-50.
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Zhijie Liu, Jinkun Liu & Wei He. (2018) Boundary control of an Euler–Bernoulli beam with input and output restrictions. Nonlinear Dynamics 92:2, pages 531-541.
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Yun Fu, Yu Liu & Daoping Huang. (2018) Boundary output feedback control of a flexible spacecraft system with input constraint. IET Control Theory & Applications 12:5, pages 571-581.
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Y. R. Xie & G. Q. Xu. (2016) Stabilization of a Wave Equation with a Tip Mass Based on Disturbance Observer of Time-Varying Gain. Journal of Dynamical and Control Systems 23:4, pages 667-677.
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Zhijie Liu, Jinkun Liu & Wei He. (2017) Deadzone compensation based boundary control of a flexible aerial refueling hose with output constraint. IFAC-PapersOnLine 50:1, pages 645-650.
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Ali Tavasoli & Vali Enjilela. (2016) Adaptive robust boundary control of coupled bending‐torsional vibration of beams with only one axis of symmetry. International Journal of Adaptive Control and Signal Processing 31:5, pages 761-784.
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Ali Tavasoli. (2017) Robust adaptive boundary control of a perturbed hybrid Euler-Bernoulli beam with coupled rigid and flexible motion. International Journal of Control, Automation and Systems 15:2, pages 680-688.
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Zhijie Liu, Jinkun Liu & Wei He. (2016) Dynamic modeling and vibration control of a flexible aerial refueling hose. Aerospace Science and Technology 55, pages 92-102.
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Jun-Min Wang, Lingnan Kang & Ya-Ping Guo. (2016) Nondissipative controllers design of a rotating flexible structure subject to boundary control matched disturbances. Nondissipative controllers design of a rotating flexible structure subject to boundary control matched disturbances.
Gen Qi Xu. (2016) Exponential stabilization of conservation systems with interior disturbance. Journal of Mathematical Analysis and Applications 436:2, pages 764-781.
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Feng-Fei Jin & Bao-Zhu Guo. (2015) Lyapunov approach to output feedback stabilization for the Euler–Bernoulli beam equation with boundary input disturbance. Automatica 52, pages 95-102.
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Wen Kang & Bao-Zhu Guo. (2014) Lyapunov approach to boundary stabilization of an anti-stable heat equation with boundary disturbance. Lyapunov approach to boundary stabilization of an anti-stable heat equation with boundary disturbance.

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