Singular Normal Extremals and Conjugate Points for Bolza Functionals

M. Popescu
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M. Popescu: Caius Iacob Institute of Applied Mathematics, Romanian Academy of Sciences

Journal of Optimization Theory and Applications, 2002, vol. 115, issue 2, No 2, 267-282

Abstract: Abstract In this paper, we study the problem of the optimal control for Bolza functionals by investigating extremals containing singular arcs. We use the Moore–Penrose generalized inverse, which allows one to determine normality criteria and sufficient conditions for the nonexistence of conjugate points.

Keywords: Second variation; Moore–Penrose generalized inverse; conjugate points; singular extremals; abnormal arcs (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:115:y:2002:i:2:d:10.1023_a:1020832020619

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DOI: 10.1023/A:1020832020619

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