A Kalman decomposition for possibly controllable uncertain linear systems

Ian R. Petersen*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

This paper considers the structure of uncertain linear systems building on concepts of robust unobservability and possible controllability. The paper presents a new geometric characterization of the possibly controllable states. When combined with previous geometric results on robust unobservability, the results of this paper lead to a general Kalman type decomposition for uncertain linear systems which can be applied to the problem of obtaining reduced order uncertain system models.

Original languageEnglish
Pages (from-to)2474-2482
Number of pages9
JournalAutomatica
Volume49
Issue number8
DOIs
Publication statusPublished - Aug 2013
Externally publishedYes

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