Morphological Equations and Sweeping Processes
Jean‐Pierre Aubin, José Alberto Murillo Hernández · Kluwer Academic Publishers eBooks · 2006
In this paper the existence of viable evolutions governed by joint evolutionary-morphological systems is analyzed. For “nonviably” consistent evolutionary-morphological systems, it is shown that viable solutions can be obtained correcting the dynamics by means of viability multipliers. Moreau’s sweeping processes arise in a natural way in the framework of correction of dynamical systems by viability multipliers for adapting the state to evolving constraints governed by morphological equations.