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Symmetries and Local Controllability

  • P. E. Crouch
  • C. I. Byrnes
Chapter
Part of the Mathematics and Its Applications book series (MAIA, volume 29)

Abstract

In this paper we review some results concerning the local controllability of nonlinear control systems. We stress those results which are most closely related to the existence of certain symmetries, including results by the authors and H. J. Sussmann. We also comment on the relation between this work and generalizations of Lie group theory to semigroups and Lie wedges.

Keywords

Vector Field Local Controllability Homogeneous Element Closed Convex Cone Nonlinear Control System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© D. Reidel Publishing Company 1986

Authors and Affiliations

  • P. E. Crouch
    • 1
  • C. I. Byrnes
    • 1
  1. 1.Department of Electrical and Computer EngineeringArizona State UniversityTempeUSA

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