Abstract
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.
Work supported in part by the European Community’s Human Potential Programme under contract HPRN-CT-2002-00281, Evolution Equations.
Alberto Murillo Hernández acknowledges the financial support provided through the European Community’s Human Potential Programme under contract HPRNCT-2002-00281 (Evolution Equations for Deterministic and Stochastic Systems). This paper is also supported by grant PI-53/00809/FS/01 (Nonlinear Differential Equations: Analysis, Simulation and Control) from the Fundación Séneca (Gobierno Regional de Murcia, Spain).
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This paper is dedicated to Jean Jacques Moreau, with respectful friendship.
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Aubin, JP., Hernández, J.A.M. (2006). Morphological Equations and Sweeping Processes. In: Alart, P., Maisonneuve, O., Rockafellar, R.T. (eds) Nonsmooth Mechanics and Analysis. Advances in Mechanics and Mathematics, vol 12. Springer, Boston, MA. https://doi.org/10.1007/0-387-29195-4_21
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DOI: https://doi.org/10.1007/0-387-29195-4_21
Publisher Name: Springer, Boston, MA
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