Scandinavian Working Papers in Economics

Working Papers in Economics,
University of Bergen, Department of Economics

No 11/07: Feasibility in Finite Time

Sjur Didrik Flåm (), J.-B. Hirart-Urruty () and Abderrahim Jourani ()
Additional contact information
Sjur Didrik Flåm: University of Bergen, Department of Economics, Postal: Hermann Fossgt. 6, N-5007 Bergen, Norway
J.-B. Hirart-Urruty: Universite Paul Sabatier, Toulouse, Postal: Toulouse, Laboratoire MIP, France
Abderrahim Jourani: Universite de Bourgogne, Institut de Mathematiques, Postal: B.P. 47870, 210778 Dijon, France

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.

JEL-codes: C02

19 pages, July 30, 2007

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