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Neustadt, L. W.

The existence of optimal controls in the absence of convexity conditions. (English) Zbl 0115.13304

J. Math. Anal. Appl. 7, 110-117 (1963).
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Cited in 54 Documents

Keywords:

probability theory
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[1] Bellman, R.; Glicksberg, I.; Gross, O., On the “bang-bang” control problem, Quart. Appl. Math., 14, 11-18 (1956) · Zbl 0073.11501
[2] Gamkrelidze, R. V., (Report No. 61-7 (Jan. 1961), University of California, Department of Engineering: University of California, Department of Engineering Los Angeles, California), English translation in · Zbl 0081.34703
[3] Krasovskii, N. N., Automation and Remote Control, 18, 1005-1016 (1957), English translation in · Zbl 0090.06101
[4] LaSalle, J. P., Time optimal control systems, (Proc. Natl. Acad. Sci. US, 45 (1959)), 573-577 · Zbl 0085.34403
[5] LaSalle, J. P., The time optimal control problem, (Contributions to the Theory of Nonlinear Oscillations, Vol. V (1960), Princeton Univ. Press: Princeton Univ. Press Princeton, N. J), 1-24 · Zbl 0095.29503
[6] Pontryagin, L. S., Automation Express, 2, No. 1, 26-30 (1959), English translation in · Zbl 0090.30803
[7] Filippov, A. F., J. Soc. Ind. Appl. Math., Ser. A, 76-84 (1962), English translation in · Zbl 0139.05102
[8] Lee, E. B.; Markus, L., Optimal control for nonlinear processes, Arch. Rational Mech. Anal., 8, No. 1, 36-58 (1961) · Zbl 0099.08703
[9] Roxin, E., The existence of optimal controls, Mich. Math. J., 9, 109-119 (1962) · Zbl 0105.07801
[10] Warga, J., Relaxed variational problems, J. Math. Anal. and Appl., 4, No. 1, 111-128 (1962) · Zbl 0102.31801
[11] Gamkrelidze, R. V., Soviet Math.- Doklady, 3, No. 3, 390-395 (1962), English translation in · Zbl 0131.32402
[12] Blackwell, D., The range of certain vector integrals, (Proc. Am. Math. Soc., 2 (1951)), 390-395, No. 3 · Zbl 0044.27702
[13] Halkin, H., Liapounov’s theorem on the range of a vector measure and Pontryagin’s maximum principle, Arch. Rational Mech. Anal., 10, No. 4, 296-304 (1962) · Zbl 0105.06901
[14] Boltyanskii, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S., Am. Math. Soc. Transl., Ser. 2, 18, 341-382 (1961), English translation in · Zbl 0098.29404
[15] Neustadt, L. W., On synthesizing optimal controls, (To be presented to Second IFAC Congress. To be presented to Second IFAC Congress, Basle, Switzerland, 1963. To be presented to Second IFAC Congress. To be presented to Second IFAC Congress, Basle, Switzerland, 1963, Report A-62-1732.1-2 (July 5, 1962), Aerospace Corporation: Aerospace Corporation El Segundo, California), Also available as · Zbl 0115.13304
[16] Neustadt, L. W., Time optimal control systems with position and integral limits, J. Math. Anal. and Appl., 3, No. 3, 406-427 (1961) · Zbl 0105.08001
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