A polynomial approach to nonlinear system controllability

YF Zheng*, JC Willems, CH Zhang

*Corresponding author for this work

    Research output: Contribution to journalArticleAcademicpeer-review

    47 Citations (Scopus)


    This note uses a polynomial approach to present a necessary and sufficient condition for local controllability of single-input-single-output (SISO) nonlinear systems. The condition is presented in terms of common factors of a noncommutative polynomial expression. This result exposes controllability properties of a nonlinear system in the input-output framework, and gives a computable procedure for examining nonlinear system controllability using computer algebra.

    Original languageEnglish
    Pages (from-to)1782-1788
    Number of pages7
    JournalIEEE Transactions on Automatic Control
    Issue number11
    Publication statusPublished - Nov-2001


    • common factor
    • controllability
    • differential fields
    • non-commutative ring
    • nonlinear systems

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