Control Co-design of systems with parabolic PDE dynamics

Antika Yadav; Prasad Vilas Chanekar

Control Co-design of systems with parabolic PDE dynamics

Optimization and Control 2026-07-23 v1 Systems and Control

Authors: Antika Yadav , Prasad Vilas Chanekar

Abstract

In this paper, we study the control co-design (CCD) synthesis problem for a class of systems with parabolic partial differential equation (PDE) dynamics. We first derive a sufficient stability condition for the PDE. By spatially discretizing the PDE and using the sufficient stability condition, we propose a computationally tractable approximate CCD problem. We solve the approximate CCD problem using a gradient-based method. Finally, we justify our proposed approach through an example.

Keywords

control co-design parabolic PDE stability discretization gradient-based optimization

Cite

@article{arxiv.2607.20975,
  title  = {Control Co-design of systems with parabolic PDE dynamics},
  author = {Antika Yadav and Prasad Vilas Chanekar},
  journal= {arXiv preprint arXiv:2607.20975},
  year   = {2026}
}