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Conditions implying the vanishing of the Hamiltonian at infinity in optimal control problems

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Abstract

In an infinite horizon optimal control problem the Hamiltonian vanishes at infinity when the differential equation is autonomous and the integrand in the criterion satisfies some weak integrability conditions. A generalization of Michel’s result (in Econometrica 50:975–985, 1982) is obtained.

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Authors and Affiliations

  1. Department of Economics, University of Oslo, Blindern, 1095, 0317, Oslo, Norway

    Atle Seierstad & Knut Sydsæter

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  1. Atle Seierstad
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  2. Knut Sydsæter
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Correspondence to Atle Seierstad.

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Seierstad, A., Sydsæter, K. Conditions implying the vanishing of the Hamiltonian at infinity in optimal control problems. Optim Lett 3, 507–512 (2009). https://doi.org/10.1007/s11590-009-0128-7

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  • DOI: https://doi.org/10.1007/s11590-009-0128-7

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