• DocumentCode
    3744058
  • Title

    Differential positivity on compact sets

  • Author

    F. Forni

  • Author_Institution
    University of Cambridge, Department of Engineering, Trumpington Street, CB2 1PZ, United Kingdom
  • fYear
    2015
  • Firstpage
    6355
  • Lastpage
    6360
  • Abstract
    The paper studies differentially positive systems, that is, systems whose linearization along an arbitrary trajectory is positive. Extending the results in [7], we illustrate the use of differential positivity on compact forward invariant sets for the characterization of bistable and periodic behaviors. Geometric conditions for differential positivity are provided. The introduction of compact sets simplifies the use of differential positivity in applications.
  • Keywords
    "Measurement","Trajectory","Manifolds","Solids","Linear systems","Nonlinear systems","System dynamics"
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control (CDC), 2015 IEEE 54th Annual Conference on
  • Type

    conf

  • DOI
    10.1109/CDC.2015.7403220
  • Filename
    7403220
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3744058