Temporal linear system structure: The discrete-time case

L.G. van Willigenburg, W.L. de Koning

Research output: Chapter in Book/Report/Conference proceedingConference paper

3 Citations (Scopus)

Abstract

A Kalman decomposition for linear time-varying discrete-time systems is introduced that detects temporal uncontrollability/unreconstructability that is not detected by any of the four conventional Kalman decompositions. This new discrete-time Kalman decomposition is associated with j-step reachability and k-step observability. The system structure obtained from the Kalman decomposition may be interpreted as the temporal linear system structure. This paper reveals that the difference between controllability and reachability as well as reconstructability and observability is entirely due to changes of the temporal linear system structure. Finally this paper reveals how our Kalman decomposition relates to the conventional ones and how temporal discrete-time linear system properties relate to their well established non temporal counterparts.

Original languageEnglish
Title of host publication2009 European Control Conference, ECC 2009
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages225-230
Number of pages6
ISBN (Electronic)9783952417393
DOIs
Publication statusPublished - 26 Mar 2014
Event2009 10th European Control Conference, ECC 2009 - Budapest, Hungary
Duration: 23 Aug 200926 Aug 2009

Publication series

Name2009 European Control Conference, ECC 2009

Conference

Conference2009 10th European Control Conference, ECC 2009
CountryHungary
CityBudapest
Period23/08/0926/08/09

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van Willigenburg, L. G., & de Koning, W. L. (2014). Temporal linear system structure: The discrete-time case. In 2009 European Control Conference, ECC 2009 (pp. 225-230). [7074408] (2009 European Control Conference, ECC 2009). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ECC.2009.7074408