Helly’s Principle and Its Application to an Infinite-Horizon Optimal Control Problem

D. Bogusz ()
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D. Bogusz: University of Łódź

Journal of Optimization Theory and Applications, 2007, vol. 134, issue 3, No 1, 383 pages

Abstract: Abstract In this paper, we introduce locally absolutely continuous functions of two variables and functions of two variables of locally finite variation defined on an unbounded interval. We generalize Helly’s principle of choice to functions of locally finite variation and apply this principle to an infinite-horizon optimal control problem of the Goursat–Darboux type.

Keywords: Infinite-horizon optimal control; Goursat–Darboux problem; Helly’s principle; Existence of optimal solutions (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1007/s10957-007-9210-4

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