Stability Analysis for Multi-Parameter Linear Periodic Systems

A.P. Seyranian, Frederik Solem, Pauli Pedersen

    Research output: Contribution to journalJournal articleResearchpeer-review


    This paper is devoted to stability analysis of general linear periodic systems depending on real parameters. The Floquet method and perturbation technique are the basis of the development. We start out with the first and higher-order derivatives of the Floquet matrix with respect to problem parameters. Then the behaviour of simple and multiple multipliers of the system with a change of parameters is studied. Weak and strong interactions of multipliers in the complex plane are treated separately. The presented theory is exemplified and discussed.
    Original languageEnglish
    JournalArchive of Applied Mechanics
    Issue number3
    Pages (from-to)160-180
    Publication statusPublished - 1999


    • Stability analysis
    • Periodic systems
    • Floquet method
    • Sensitivity analysis
    • Multipliers


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