Singular Normal Extremals and Conjugate Points for Bolza Functionals |
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| Authors: | Popescu M. |
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| Affiliation: | (1) Department of Dynamical Systems, Caius Iacob Institute of Applied Mathematics, Romanian Academy of Sciences, Bucharest, Romania |
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| 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. |
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| Keywords: | Second variation Moore– Penrose generalized inverse conjugate points singular extremals abnormal arcs |
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