Feasibility in Finite Time

Sjur Flåm, J.-B. Hirart-Urruty () and Abderrahim Jourani ()
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J.-B. Hirart-Urruty: Universite Paul Sabatier, Toulouse, Postal: Toulouse, Laboratoire MIP, France, http://www.math.univ-toulouse.fr/~jbhu/
Abderrahim Jourani: Universite de Bourgogne, Institut de Mathematiques, Postal: B.P. 47870, 210778 Dijon, France

No 11/07, Working Papers in Economics from University of Bergen, Department of Economics

Abstract: It is common to tolerate that a system's performance be unsustainable during an interim period. To live long however, its state must eventually satisfy various constraints. In this regard we design here differential inclusions that generate, in one generic format, two distinct phases of system dynamics. The first ensures feasibility in finite time; the second maintains that property forever after.

Keywords: differential inclusions; generalized subdifferentials; duality mapping; distance function; prox-regurality; finite-time absorption; sweeping processess. (search for similar items in EconPapers)
JEL-codes: C02 (search for similar items in EconPapers)
Pages: 19 pages
Date: 2007-07-30
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