Local Controllabilifty Along a Reference Trajectory

  • Rosa Maria Bianchini
  • Gianna Stefani
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 83)


Let (*) be a C control system defined on a C differential manifold, of the following type
Sufficient conditions of local controllability along the trajectory t → exp tf0(x0) are aiven. These conditions are conditions on the Lie algebra generated by the vector fields f0, f1,...,fm in x0.

One of the conditions has been proved by Hermes and Sussmann independen-tly under the assumntion f0(x0) = 0.


Vector Field Local Controllability Reference Trajectory Analytic Vector Field Nilpotent Associative Algebra 
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Copyright information

© Springer Science+Business Media Dordrecht 1986

Authors and Affiliations

  • Rosa Maria Bianchini
    • 1
  • Gianna Stefani
    • 2
  1. 1.Istituto MatematicoFirenzeItaly
  2. 2.Dip. Sistemi e InformaticaFirenzeItaly

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