Further Aspects of Turnpike Theory in Continuous Time With Applications

Author:

Haurie A.1,Hung N. M.2

Affiliation:

1. Ecole des Hautes Etudes Commerciales de Montre´al, Quebec, Canada

2. Ecole des Hautes Etudes Commerciales de Montre´al, Quebe´c, Canada; Universite´ du Quebec a´ Montre´al

Abstract

In this paper, the Turnpike theorem for continuous time optimal control problems is extended. This extension is due to a relaxation of the rather strong assumptions used in previous analysis. The Turnpike results are then applied to an economic model of optimal growth in the presence of several replenishable resources and to the Kolgomorov’s prey-predator ecosystem.

Publisher

ASME International

Subject

Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering

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