Boundaries of local no-return sets for control systems

  • Authors:

  • I. Graf

  • Affiliations:

  • Department of Mathematics, Universität Augsburg, Augsburg, Germany

  • Venue:
  • Journal of Dynamical and Control Systems
  • Year:
  • 2011

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Abstract

For control systems described by ordinary differential equations and given subsets A of the state space, the points on the boundary of A through which entrance and exit is possible are studied. We assume that solutions that leave A and remain close to it cannot return. Continuity properties of the entrance and exit boundaries when the control range is changed are described.