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- W2564792458 abstract "In this paper, we present output feedback boundary stabilization for a class of semilinear parabolic PDEs with a boundary measurement and an actuation located at the same place. The method uses backstepping transformations, where the state and error systems are proved to be locally exponentially stable in the $mathbb{H}^4$ norm. The stability of the transformed systems are obtained by constructing a strict Lyapunov function. A numerical example using the FitzHugh-Nagumo equation shows the proposed control law stabilizes the system into its equilibrium solution." @default.
- W2564792458 created "2017-01-06" @default.
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- W2564792458 date "2016-12-12" @default.
- W2564792458 modified "2023-10-17" @default.
- W2564792458 title "Output Feedback Stabilization of Semilinear Parabolic PDEs using Backstepping" @default.
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