31 citations · 62 across the 8 of their papers we have counts for
8 papers
Stabilization of First-Order Partial Integro-Differential Equations with Concurrent Input and State Delays
Sanguan Zhong, Jie Qi
This paper considers boundary stabilization problems for a first-order hyperbolic partial integro-differential equation (PIDE) subject to concurrent input and state delays. The coe…
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…
Delay-Adaptive Control of First-order Hyperbolic PIDEs
Shanshan Wang, Jie Qi, Miroslav Krstic
We develop a delay-adaptive controller for a class of first-order hyperbolic partial integro-differential equations (PIDEs) with an unknown input delay. By employing a transport PD…
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…
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…
Delay-Adaptive Compensator for 3-D Space Formation of Multi-Agent Systems with Leaders Actuation
Shanshan Wang, Mamadou Diagne, Jie Qi
This paper focuses on the control of collective dynamics in large-scale multi-agent systems (MAS) operating in a 3-D space, with a specific emphasis on compensating for the influen…
Robustness of Reaction-Diffusion PDEs Predictor-Feedback to Stochastic Delay Perturbations
Dandan Guan, Jie Qi, Mamadou Diagne
This paper studies the robustness of a PDE backstepping delay-compensated boundary controller for a reaction-diffusion partial differential equation (PDE) with respect to a nominal…
Delay-Compensated Distributed PDE Control of Traffic with Connected/Automated Vehicles
Jie Qi, Shurong Mo, Miroslav Krstic
We develop an input delay-compensating design for stabilization of an Aw-Rascle-Zhang (ARZ) traffic model in congested regime which is governed by a first-order hyperbo…