Input-to-state stabilization of parabolic PDEs with variable coefficients and Dirichlet boundary disturbances: A tutorial on closed-form backstepping controller design and stability analysis

Jun Zheng, Yongchun Bi and Guchuan Zhu

Article (2025)

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Uncontrolled Keywords

• Statistical and Nonlinear Physics
• Computational Theory and Mathematics
• Control and Systems Engineering
• Model Reduction and Neural Networks
• Advanced Mathematical Modeling in Engineering
• Stability and Controllability of Differential Equations

Department:	Department of Electrical Engineering
PolyPublie URL:	https://publications.polymtl.ca/69131/
Journal Title:	Annual Reviews in Control (vol. 60)
Publisher:	Elsevier BV
DOI:	10.1016/j.arcontrol.2025.101032
Official URL:	https://doi.org/10.1016/j.arcontrol.2025.101032
Date Deposited:	17 Oct 2025 11:29
Last Modified:	17 Oct 2025 11:29

Cite in APA 7:	Zheng, J., Bi, Y., & Zhu, G. (2025). Input-to-state stabilization of parabolic PDEs with variable coefficients and Dirichlet boundary disturbances: A tutorial on closed-form backstepping controller design and stability analysis. Annual Reviews in Control, 60, 101032 (16 pages). https://doi.org/10.1016/j.arcontrol.2025.101032
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