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Dolezal, Jaroslav; Mohler, Ronald R.

On discrete control problems having a minmax type objective functional. (English) Zbl 0481.49018

Kybernetika 17, 549-554 (1981).
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MSC:

49K35 Optimality conditions for minimax problems
49M37 Numerical methods based on nonlinear programming
93C55 Discrete-time control/observation systems
90C30 Nonlinear programming

Keywords:

minmax problems; discrete systems; necessary optimality conditions
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\textit{J. Dolezal} and \textit{R. R. Mohler}, Kybernetika 17, 549--554 (1981; Zbl 0481.49018)
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References:

[1] W. E. Schmitendorf: Necessary conditions and sufficient conditions for static minmax problems. J. Math. Anal. Appl. 57 (1977), 3, 683-693. · Zbl 0363.90103
[2] W. E. Schmitendorf: A simple derivation of necessary conditions for static minmax problems. J. Math. Anal. Appl. 70 (1979), 2, 486-489. · Zbl 0435.49029
[3] J. Doležal: On necessary conditions for static minmax problems with constraints. J. Math. Anal. Appl. To be published · Zbl 0581.49013
[4] J. Doležal: On the problem of necessary conditions for static minmax problems. Problems of Control and Information Theory. To be published. · Zbl 0581.49013
[5] M. D. Canon C. D. Cullum E. Polak: Theory of Optimal Control and Mathematical Programming. McGraw-Hill, New York 1970. · Zbl 0264.49001
[6] V. G. Boltyanskii: Optimal Control of Discrete Systems. Nauka, Moscow 1973. English Trans.. Wiley, New York 1978.
[7] J. Doležal: Necessary optimality conditions for discrete systems with state-dependent control region. Kybernetika 11 (1975), 6, 423-450. · Zbl 0321.49014
[8] V. G. Boltyanskii I. S. Cebotaru: Necessary conditions in a minimax problem. Dokl. Akad. Nauk SSSR 213 (1973), 2, 257-260. English Trans.: Soviet Math. Dokl. 14 (1973), 6, 1665-1668.
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