An approach for computing the exact stability domain for a class of LTI parameter dependent systems

X. Zhang, P. Tsiotras, A. Lanzon

    Research output: Contribution to journalArticlepeer-review

    Abstract

    In this paper, the complete stability domain for both single- and multi-parameter dependent LTI systems is synthesized by extending existing results in the literature. This domain is calculated through a guardian map which involves the determinant of the Kronecker sum of a matrix with itself. The single parameter case is easily computable, whereas the multi-parameter case is more involved. The determinant of the bialternate sum of a matrix with itself is also exploited to reduce the computational complexity of the results presented in this paper.
    Original languageEnglish
    Pages (from-to)1046-1061
    Number of pages15
    JournalInternational Journal of Control
    Volume79
    Issue number9
    DOIs
    Publication statusPublished - 1 Sept 2006

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