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math.OC2023
Robust stabilization of first-order hyperbolic PDEs with uncertain input delay
Jing Zhang, Jie Qi
A backstepping-based compensator design is developed for a system of first-order linear hyperbolic partial differential equations (PDE) in the presence of an uncertain l…
math.OC2023★ 29 cited
Neural Operators for PDE Backstepping Control of First-Order Hyperbolic PIDE with Recycle and Delay
Jie Qi, Jing Zhang, Miroslav Krstic
The recently introduced DeepONet operator-learning framework for PDE control is extended from the results for basic hyperbolic and parabolic PDEs to an advanced hyperbolic class th…
math.OC2022
Output Feedback Control of Radially-Dependent Reaction-Diffusion PDEs on Balls of Arbitrary Dimensions
Rafael Vazquez, Jing Zhang, Jie Qi +1
Recently, the problem of boundary stabilization and estimation for unstable linear constant-coefficient reaction-diffusion equation on n-balls (in particular, disks and spheres) ha…