Time scale observability and constructibility of linear dynamic equations

Bacem Ben Nasser, Mohamed Djemai, Michael Defoort, Taous-Meriem Laleg-Kirati

Research output: Contribution to journalArticlepeer-review

Abstract

This paper investigates the observability and constructibility problems of time-varying linear dynamic equations using time scale theory. First, we define observability, reachability and constructibility operators on time scales. Some necessary and sufficient conditions are proposed to ensure the observability on non-uniform time domains based on some linear algebra tools. Then, constructibility is also examined using the same approach. Moreover, the link between observability and constructibility concepts on arbitrary time sets is discussed. Further, the observability and reachability duality relationship for time-varying linear systems on time scales is established. The current work unifies and extends some existing results given for standard cases (i.e. the continuous line and the discrete time domain) to non-uniform time domains. Finally, the obtained results are described with an illustrative example.
Original languageEnglish (US)
Pages (from-to)1-11
Number of pages11
JournalInternational Journal of Control
DOIs
StatePublished - Mar 25 2021

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications

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