Kaijing Lyu
Email
My research directions are control of partial differential equations and neural operators.
Visiting PhD student
Beijing Institute of Technology
ORCID
Hi! My name is Kaijing Lyu. I am a PhD student at Beijing Institute of Technology in China and a visiting PhD student at DeustoCCM, Chair of Computational Mathematics at DeustoTech – University of Deusto. During my stay, Prof. Enrique Zuazua is my Ph.D. co-advisor.
Research interests
My research directions are
• Control of partial differential equations,
• Neural operators
Publications
2025
- Lyu, K., Wang, J., Zhang, Y., & Yu, H. (2025). Neural operators for adaptive control of freeway traffic. Automatica, 182, 112553.
- Lyu, K., Wang, J., & Cao, Y. (2025). Neural operator approximations for boundary stabilization of cascaded parabolic PDEs. International Journal of Adaptive Control and Signal Processing, 39(7), 1503–1520.
- Lyu, K., Biccari, U., & Wang, J. (2025). Robust stabilization of hyperbolic PDE-ODE systems via Neural Operator-approximated gain kernels. arXiv preprint arXiv:2508.03242.
- Lyu, K., Wang, J., Zhang, Y., & Yu, H. (2025). Neural operators for adaptive control of traffic flow models. IFAC-PapersOnLine, 59(8), 13–18.
Projects
• CoDeFeL: Control and Deep and Federated Learning. ERC Advanced PI: Enrique Zuazua (2024 – 2029)
News
• 01-02.12.2025 Spiking Neural Networks: theoretical framework for universal approximation and training, COPI2A 3rd. meeting, PDF Slides
• 16.05.2025. DeustoCCM seminar: Neural Operator Approximations for Boundary Stabilization of Cascaded Parabolic PDEs, PDF Slides