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Avoidance Control on Time Scales

Author

Listed:
  • E. Pawłuszewicz

    (University of Aveiro)

  • D. F. M. Torres

    (University of Aveiro)

Abstract

We consider dynamic systems on time scales under the control of two agents. One of the agents desires to keep the state of the system out of a given set regardless of the other agent’s actions. Leitmann’s avoidance conditions are proved to be valid for dynamic systems evolving on an arbitrary time scale.

Suggested Citation

  • E. Pawłuszewicz & D. F. M. Torres, 2010. "Avoidance Control on Time Scales," Journal of Optimization Theory and Applications, Springer, vol. 145(3), pages 527-542, June.
  • Handle: RePEc:spr:joptap:v:145:y:2010:i:3:d:10.1007_s10957-010-9694-1
    DOI: 10.1007/s10957-010-9694-1
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    Cited by:

    1. Erick J. Rodríguez-Seda & Dušan M. Stipanović & Mark W. Spong, 2016. "Guaranteed Collision Avoidance for Autonomous Systems with Acceleration Constraints and Sensing Uncertainties," Journal of Optimization Theory and Applications, Springer, vol. 168(3), pages 1014-1038, March.

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