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Cited article:

Input-to-state stabilisation of 1-D time-varying parabolic PDEs involving Dirichlet boundary disturbances by static backstepping control

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Journal of Control and Decision 1 (2025)
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Global ISS for the Viscous Burgers' Equation With Dirichlet Boundary Disturbances

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IEEE Transactions on Automatic Control 69 (10) 7174 (2024)
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Well-posedness and stability for a nonlinear Euler-Bernoulli beam equation

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Input-to-state stability and integral input-to-state stability in various norms for 1-D nonlinear parabolic PDEs

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Journal of Control and Decision 1 (2023)
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Relative Stability in the Sup-Norm and Input-to-State Stability in the Spatial Sup-Norm for Parabolic PDEs

Jun Zheng, Guchuan Zhu and Sergey Dashkovskiy
IEEE Transactions on Automatic Control 67 (10) 5361 (2022)
https://doi.org/10.1109/TAC.2022.3192325