Well-posedness and controllability of hyperbolic boundary control systems on a one-dimensional spatial domain
Abstract
The aim of this paper is to investigate the well-posedness of a class of boundary control and observation systems on a one dimensional spatial domain. We derive a necessary and sufficient condition characterizing the well-posedness of these systems. Furthermore, we show that the well-posedness and full control and observation implies exact controllability and exact observability. The theoretical results are illustrated using Euler-Bernoulli beam models.
Fields of Study & Subjects
Stability and Controllability of Differential Equations
Adaptive Control of Nonlinear Systems
Control and Stability of Dynamical Systems
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 4 January 2026
- Language
- EN
- Document type
- Preprint