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 Plus annual

Presents the access of premium content as premium feature

Premium Content

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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper we study state-space realizations of Linear and Time-Invariant(LTI) systems. Motivated by biochemical reaction networks, Gon\c{c}alves andWarnick have recently introduced the notion of a {\em Dynamical StructureFunctions} (DSF), a particular factorization of the system's transfer functionmatrix that elucidates the interconnection structure in dependencies betweenmanifest variables. We build onto this work by showing an intrinsic connectionbetween a DSF and certain sparse left coprime factorizations. By establishingthis link, we provide an interesting systems theoretic interpretation ofsparsity patterns of coprime factors. In particular we show how the sparsity ofthese coprime factors allows for a given LTI system to be implemented as anetwork of LTI sub-systems. We examine possible applications in distributedcontrol such as the design of a LTI controller that can be implemented over anetwork with a pre-specified topology.

A Novel Description of Linear Time--Invariant Networks via Structured Coprime Factorizations