29 citations · 29 across the 6 of their papers we have counts for
6 papers
DeepONet-LSTM Neural Operator for Output Feedback Control of Reaction Diffusion PDEs
Jing Zhang, Jie Qi, Linglong Jiang
This paper presents a neural operator-based approach for the output feedback boundary stabilization of reaction diffusion PDEs. The classical output feedback backstepping design re…
Neural Operator based Reinforcement Learning for Control of first-order PDEs with Spatially-Varying State Delay
Jiaqi Hu, Jie Qi, Jing Zhang
Control of distributed parameter systems affected by delays is a challenging task, particularly when the delays depend on spatial variables. The idea of integrating analytical cont…
Neural Operator Feedback for a First-Order PIDE with Spatially-Varying State Delay
Jie Qi, Jiaqi Hu, Jing Zhang +1
A transport PDE with a spatial integral and recirculation with constant delay has been a benchmark for neural operator approximations of PDE backstepping controllers. Introducing a…
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…
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…
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…