Singular Normal Extremals and Conjugate Points for Bolza Functionals

Journal of Optimization Theory and Applications - Tập 115 - Trang 267-282 - 2002
M. Popescu1
1Department of Dynamical Systems, Caius Iacob Institute of Applied Mathematics, Romanian Academy of Sciences, Bucharest, Romania

Tóm tắt

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.

Tài liệu tham khảo

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Thông tin xuất bản

Journal of Optimization Theory and Applications

Tập 115

267-282

Thông tin tác giả