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Zubarev, S. V.

Necessary conditions for optimality for certain systems with distributed parameters. (English) Zbl 0445.49024

Ukr. Math. J. 31, 344-346 (1980).
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MSC:

49K20 Optimality conditions for problems involving partial differential equations
35L10 Second-order hyperbolic equations
93C05 Linear systems in control theory

Keywords:

systems with distributed parameters; equations of hyperbolic type; linear oscillatory systems

Citations:

Zbl 0422.49021
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Full Text: DOI

References:

[1] J.-P. Armand, Applications of the Theory of Optimal Control of Systems [Russian translation], Mir, Moscow (1977).
[2] V. Komkov, Optimal Control Theory for the Damping of Vibrations of Simple Elastic Systems, Springer-Verlag (1972). · Zbl 0238.73038
[3] K. A. Lur’e, Optimal Control in Problems in Mathematical Physics [in Russian], Nauka, Moscow (1975).
[4] T. K. Sirazetdinov, Optimization of Systems with Distributed Parameters [in Russian], Nauka, Moscow (1977). · Zbl 0415.49004
[5] D. L. Russel, ?Optimal regulation of linear symmetric hyperbolic systems with finite-dimensional controls,? SIAM J. Control,4, No. 2, 276-294 (1966). · Zbl 0166.35805 · doi:10.1137/0304024
[6] A. I. Egorov, ?Optimal processes in systems with distributed parameters and some problems in the theory of invariance,? Izv. Akad. NaukSSSR, Ser. Mat.,29, No. 6, 1205-1260 (1965). · Zbl 0151.13305
[7] Yu. M. Berezanskii, Expansions in Eigenfunctions of Selfadjoint Operators, Amer. Math. Soc. (1968).
[8] O. A. Ladyzhenskaya, The Mixed Problem for a Hyperbolic Equation [in Russian], Gostekhizdat, Moscow (1953). · Zbl 0052.32501
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