Controllability and observability for a class of controlled switching impulsive systems

Bin Liu*, Horacio J. Marquez

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    48 Citations (Scopus)

    Abstract

    In this note, we study the controllability and observability problem for a class of controlled switching impulsive systems. By proposing several formula of variation of parameters for this type of time-varying systems and employing the characteristic polynomial theory of matrix, we establish necessary and sufficient conditions for controllability and controlled observability with respect to a given switching time sequence. Specializing the obtained results to the case of time-invariant linear switching impulsive systems, we derive some simple algebraic criteria, which include the results reported in the literature for time-invariant linear switching systems, linear impulsive systems and classical linear systems. One example is worked out for illustration.

    Original languageEnglish
    Pages (from-to)2360-2366
    Number of pages7
    JournalIEEE Transactions on Automatic Control
    Volume53
    Issue number10
    DOIs
    Publication statusPublished - 2008

    Fingerprint

    Dive into the research topics of 'Controllability and observability for a class of controlled switching impulsive systems'. Together they form a unique fingerprint.

    Cite this