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On the minimum time problem in linear discrete systems with the discrete set of admissible controls. (English) Zbl 0317.49027

MSC:

49K99 Optimality conditions
90C20 Quadratic programming
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References:

[1] P. Wolfe: The Simplex Method for Quadratic Programming. Econometrica 27 (1959), 3, 382-398. · Zbl 0103.37603
[2] M. D. Canon C. D. Cullum E. Polak: Theory of Optimal Control and Mathematical Programming. McGraw Hill, N. Y. 1970. · Zbl 0264.49001
[3] E. G. Gilbert: An iterative procedure for computing the minimum of a quadratic form on a convex set. SIAM J. Contr. 4 (1966), 1, 61-80. · Zbl 0196.51204
[4] J. V. Outrata: Numerické přístupy k časově optimálnímu řízení diskrétních systémů. Research report ÚTIA ČSAV, 1974.
[5] A. I. Propoj: Elementy teorii optimalnych diskretnych processov. Nauka, Moskava 1973.
[6] H. P. Künzi W. Oettli: Integer Quadratic Programming. Recent Advances in Mathematical Programming. McGraw-Hill, N. Y. 1963. · Zbl 0222.90037
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