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arXiv · 2401.14909

A Simulation Preorder for Koopman-like Lifted Control Systems

Antoine Aspeel·Necmiye Ozay
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Abstract

This paper introduces a simulation preorder among lifted systems, a generalization of finite-dimensional Koopman approximations (also known as approximate immersions) to systems with inputs. It is proved that this simulation relation implies the containment of both the open- and closed-loop behaviors. Optimization-based sufficient conditions are derived to verify the simulation relation in two special cases: i) a nonlinear (unlifted) system and an affine lifted system and, ii) two affine lifted systems. Numerical examples demonstrate the approach.

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BibTeXRIS

Antoine Aspeel, Necmiye Ozay. 2024-01-26. A Simulation Preorder for Koopman-like Lifted Control Systems. https://arxiv.org/abs/2401.14909

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