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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
Bilateral boundary control of an input delayed 2-D reaction-diffusion equation
Dandan Guan, Yanmei Chen, Jie Qi +1
In this paper, a delay compensation design method based on PDE backstepping is developed for a two-dimensional reaction-diffusion partial differential equation (PDE) with bilateral…
math.OC2023
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…