Extremal solutions of a control system. (English) Zbl 0135.32802

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[1] Blackwell, D, The range of certain vector integrals, (), 390-395 · Zbl 0044.27702
[2] Dunford, N; Schwartz, J.T, Linear operators, part I, (1958), Interscience New York
[3] Filippov, A.F, Differential equations with multi-valued discontinuous righthand side, Dokl. akad. nauk SSSR, 151, 65-68, (1963), (in Russian)
[4] {\scHalkin, H.}, A generalization of LaSalle’s “bang-bang” principle. J. Soc. Ind. Appl. Math., in press.
[5] Halmos, P.R, Measure theory, (1954), Van Nostrand Princeton, New Jersey · Zbl 0117.10502
[6] Kurzweil, J, On the linear theory of optimal control systems, C̆asopis Pěst. mat., 89, 90-101, (1964), (in Russian)
[7] La Salle, J.P, The time optimal control problem, (), 1-24
[8] Liapunov, A.A, Sur LES fonctions-vecteurs completement additives, Izv. akad. nauk SSSR, ser. mat., 8, 465-478, (1940) · Zbl 0024.38504
[9] Neustadt, L.W, The existence of optimal controls in the absence of convexity conditions, J. math. anal. appl., 7, 110-117, (1963) · Zbl 0115.13304
[10] {\scOlech, C.}, A contribution to the time optimal control problem.
[11] Olech, C, A note concerning extremal points of a convex set, Bull. acad. polon. sci., ser. sci. math. astron. phys., 13, 347-351, (1965) · Zbl 0136.18805
[12] Olech, C, A note concerning set-valued measurable functions, Bull. acad. polon. sci., ser. sci. math. astron. phys., 13, 317-321, (1965) · Zbl 0145.28302
[13] Pliś, A, Remark on measurable set-valued functions, Bull. acad. polon. sci., ser. sci. math. astron. phys., 9, 857-859, (1961) · Zbl 0101.04303
[14] Pontryagin, L.S; Boltyanski, V.G; Gamkrelidze, R.V; Mishchenko, E.F, The mathematical theory of optimal control, (1961), (in Russian). English translation: Interscience, New York, 1962
[15] Roxin, E, Pontryagin’s maximum principle, (), 303-324 · Zbl 0139.04808
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