Small-Time Reachable Sets and Time-Optimal Feedback Control

  • Heinz Schättler
Conference paper
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 78)


This paper describes selected aspects of a direct geometric approach to time-optimal control. The underlying idea is to obtain a regular synthesis of time-optimal controls from a precise knowledge of the structure of the small-time reachable set for an extended system to which time has been adjoined as extra coordinate.


Admissible Control Conjugate Point Singular Control Extremal Trajectory Extra Coordinate 
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Copyright information

© Springer-Verlag New York, Inc. 1996

Authors and Affiliations

  • Heinz Schättler
    • 1
  1. 1.Department of Systems Science and MathematicsWashington UniversitySt. LouisUSA

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