Linear Hamiltonian behaviors and bilinear differential forms

P Rapisarda*, HL Trentelman

*Corresponding author for this work

    Research output: Contribution to journalArticleAcademicpeer-review

    7 Citations (Web of Science)

    Abstract

    We study linear Hamiltonian systems using bilinear and quadratic differential forms. Such a representation-free approach allows us to use the same concepts and techniques to deal with systems isolated from their environment and with systems subject to external influences and allows us to study systems described by higher-order differential equations, thus dispensing with the usual point of view in classical mechanics of considering first- and second-order differential equations only.

    Original languageEnglish
    Pages (from-to)769-791
    Number of pages23
    JournalSiam Journal on Control and Optimization
    Volume43
    Issue number3
    DOIs
    Publication statusPublished - 2004

    Keywords

    • linear Hamiltonian systems
    • two-variable polynomial matrices
    • bilinear and quadratic differential forms
    • behavioral system theory
    • DISTRIBUTED SYSTEMS
    • EQUATIONS

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