Abstract

The space of directional-morphological transitions is analyzed and a tangential regularity result is established for the subset V. This subset arises in a natural way when one considers viability problems where both, trajectories and constraints, are evolving in time governed by differential and morphological equations, respectively. Furthermore a control problem associated with this kind of evolutionary-morphological systems is studied.

Author information

Contact details are reproduced from the original publication and may be historical.

José Alberto Murillo Hernández

Dep. de Matemática Aplicada y Estadística, Universidad Politécnica, Paseo de Alfonso XIII s/n, 30203 Cartagena, Spain

alberto.murillo@upct.es

Keywords

  • Tangential regularity
  • morphological equations
  • differential inclusions
  • constrained control systems

Suggested citation

J. A. Murillo Hernández. “Tangential Regularity in the Space of Directional-Morphological Transitions.” Journal of Convex Analysis 13 (2006), No. 2, 423–441.

Copyright Heldermann Verlag 2006