English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

The design and analysis of optimal control policies for dynamical systems canbe complicated by nonlinear dependence in the state variables. Koopmanoperators have been used to simplify the analysis of dynamical systems bymapping the flow of the system onto a space of observables where the dynamicsare linear (and possibly infinte). This paper focuses on the development ofconsistent Koopman representations for controlled dynamical system. Weintroduce the concept of dynamical consistency for Koopman representations andanalyze several existing and proposed representations deriving necessaryconstraints on the dynamical system, observables, and Koopman operators. Ourmain result is a hybrid formulation which independently and jointly observesthe state and control inputs. This formulation admits a relatively large spaceof dynamical systems compared to earlier formulations while keeping the Koopmanoperator independent of the state and control inputs. More generally, this workprovides an analysis framework to evaluate and rank proposed simplifications tothe general Koopman representation for controlled dynamical systems.

Koopman Representations of Dynamic Systems with Control