On Pontryagin maximum principle for systems with non-one-point target sets and systems with additional constraints

Abstract

In the paper a linear system is considered. We are looking for inf {F(x):x∈U C x=y ₀}, where Fis a convex functional and Uis a closed convex set. Sufficient conditions warrantying that the Maximum Principle of Pontryagin implies closedness of C Xare given.

¹The paper was presented at the conference Mathematische Optimierung - Theorie und Anwendungen in Eisenach (GDR), December 5 to 10, 1977

¹The paper was presented at the conference Mathematische Optimierung - Theorie und Anwendungen in Eisenach (GDR), December 5 to 10, 1977

Notes

¹The paper was presented at the conference Mathematische Optimierung - Theorie und Anwendungen in Eisenach (GDR), December 5 to 10, 1977