Back to Search
Start Over
Learning Koopman Representations for Hybrid Systems
- Publication Year :
- 2020
-
Abstract
- The Koopman operator lifts nonlinear dynamical systems into a functional space of observables, where the dynamics are linear. In this paper, we provide three different Koopman representations for hybrid systems. The first is specific to switched systems, and the second and third preserve the original hybrid dynamics while eliminating the discrete state variables; the second approach is straightforward, and we provide conditions under which the transformation associated with the third holds. Eliminating discrete state variables provides computational benefits when using data-driven methods to learn the Koopman operator and its observables. Following this, we use deep learning to implement each representation on two test cases, discuss the challenges associated with those implementations, and propose areas of future work.
- Subjects :
- Mathematics - Dynamical Systems
Mathematics - Optimization and Control
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2006.12427
- Document Type :
- Working Paper