Journal of Convex Analysis 13 (2006), No. 2, 423--441
Copyright Heldermann Verlag 2006
Tangential Regularity in the Space of Directional-Morphological Transitions
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
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.
Keywords: Tangential regularity, morphological equations, differential inclusions, constrained control systems.
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