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Feasibility in finite time

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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.

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Authors and Affiliations

  1. Economics Department, Bergen University, Bergen, Norway

    S. D. Flåm

  2. Laboratoire MIP, Université Paul Sabatier, Toulouse, France

    J.-B. Hiriart-Urruty

  3. Institut de Mathématiques de Bourgogne, Université de Bourgogne, Dijon, France

    A. Jourani

Authors
  1. S. D. Flåm
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  2. J.-B. Hiriart-Urruty
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  3. A. Jourani
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Correspondence to S. D. Flåm.

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Flåm, S.D., Hiriart-Urruty, JB. & Jourani, A. Feasibility in finite time. J Dyn Control Syst 15, 537–555 (2009). https://doi.org/10.1007/s10883-009-9074-z

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  • DOI: https://doi.org/10.1007/s10883-009-9074-z

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