Observability and Determinability Characterizations for Linear Switched Systems in Discrete Time

Sutrisno Sutrisno*, Stephan Trenn

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

4 Downloads (Pure)


In this article, we study the observability and determinability for discrete-time linear switched systems. Studies for the observability for this system class are already available in literature, however, we use assume here that the switching signal is known. This leads to less conservative observability conditions (e.g. observability of each individual mode is not necessary for the overall switched system to be observable); in particular, the dependencies of observability on the switching times and the mode sequences are derived; these results are currently not available in the literature on discrete-time switched systems. In addition to observability (which is concerned with recovering the state from the initial time onwards), we also investigate the determinability which is concerned with the ability to reconstruct the state value at the end of the observation interval. We provide several simple examples to illustrate novel features not seen in the continuous time case or for unswitched systems.
Original languageEnglish
Title of host publication2021 60th IEEE Conference on Decision and Control (CDC)
Place of PublicationAustin
Number of pages5
ISBN (Print)978-1-6654-3658-8
Publication statusPublished - 13-Dec-2021
Event 60th IEEE Conference on Decision and Control (CDC) - Austin, Texas, United States
Duration: 13-Dec-202115-Dec-2021


Conference 60th IEEE Conference on Decision and Control (CDC)
Country/TerritoryUnited States
CityAustin, Texas

Cite this