A differential geometric setting for dynamic equivalence and dynamic linearization
Volume 32 / 1995
Banach Center Publications 32 (1995), 319-339
DOI: 10.4064/-32-1-319-339
Abstract
This paper presents an (infinite-dimensional) geometric framework for control systems, based on infinite jet bundles, where a system is represented by a single vector field and dynamic equivalence (to be precise: equivalence by endogenous dynamic feedback) is conjugation by diffeomorphisms. These diffeomorphisms are very much related to Lie-Bäcklund transformations. It is proved in this framework that dynamic equivalence of single-input systems is the same as static equivalence.
