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Methods of subdifferential and hypodifferential descent in the problem of constructing an integrally constrained program control

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Abstract

For an object whose dynamics obeys a system of ordinary differential equations, application of the methods of subdifferential and hypodifferential descent to the problem of program control of object dynamics was illustrated.

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References

  1. Krasovskii, N.N., Teoriya upravleniya dvizheniem (Motion Control Theory), Moscow: Nauka, 1968.

    Google Scholar 

  2. Zubov, V.I., Lektsii po teorii upravleniya (Lectures on the Control Theory), Moscow: Nauka, 1975.

    MATH  Google Scholar 

  3. Egorov, A.I., Osnovy teorii upravleniya (Fundamentals of the Control Theory), Moscow: Fizmatlit, 2004.

    Google Scholar 

  4. Dem’yanov, V.F., Usloviya ekstremuma i variatsionnoe ischislenie (Extremum Conditions and Variational Calculus), Moscow: Vysshaya Shkola, 2005.

    Google Scholar 

  5. Tamasyan, G.Sh., Numerical Methods in the Problems of Variational Calculus for Functionals Depending on Higher-order Derivatives, Probl. Mat. Anal., 2012, no. 67, pp. 113–132.

    Google Scholar 

  6. Daugavet, V.A., Chislennye metody kvadratichnogo programmirovaniya (Numerical Methods of Quadratic Programming), St. Petersburg: S.-Peterburg. Gos. Univ., 2001.

    MATH  Google Scholar 

  7. Dem’yanov, V.F. and Rubinov, A.M., Osnovy negladkogo analiza i kvazidifferentsial’noe ischislenie (Fundamentals of Nonsmooth Analysis and Quasidifferential Calculus), Moscow: Nauka, 1990.

    MATH  Google Scholar 

  8. Krylov, I.A., Numerical Solution of the Problem of Optimal Satellite Stabilization, Zh. Vychisl. Mat. Mat. Fiz., 1968, vol. 8, no. 1, pp. 203–208.

    MATH  Google Scholar 

  9. Moiseev, N.N., Elementy teorii optimal’nykh sistem (Elements of the Optimal System Theory), Moscow: Nauka, 1975.

    MATH  Google Scholar 

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Correspondence to A. V. Fominykh.

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Original Russian Text © A.V. Fominykh, 2017, published in Avtomatika i Telemekhanika, 2017, No. 4, pp. 37–48.

This paper was recommended for publication by I.V. Rublev, a member of the Editorial Board

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Fominykh, A.V. Methods of subdifferential and hypodifferential descent in the problem of constructing an integrally constrained program control. Autom Remote Control 78, 608–617 (2017). https://doi.org/10.1134/S0005117917040038

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  • DOI: https://doi.org/10.1134/S0005117917040038

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