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On an approach to the problems of control of dynamic systems with nonseparated multipoint intermediate conditions

  • Linear Systems
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Abstract

Consideration was given to the problems of control of the linear dynamic systems with given initial, final, and nonseparated (nonlocal) multipoint intermediate conditions and the problems of optimal control with the performance index defined over the entire time interval. An explicit form of the control action was constructed, and a method to solve the problem of optimal control was proposed. Solutions of particular problems were presented.

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References

  1. Abdullaev, V.M., Solution of Differential Equations with Nonseparated Multipoint and Integral and Conditions, Sib. Zh. Industr. Mat., 2012, vol. 15, no. 3 (51), pp. pp. 3–15.

    MathSciNet  Google Scholar 

  2. Samoilenko, A.M., Laptinskii, V.N., and Kenzhebaev, K.K., Konstruktivnye metody issledovaniya periodicheskikh i mnogotochechnykh kraevykh zadach (Constructive Methods to Study Periodic and Multipoint Boundary Problems), Kiev: Inst. Mat. Nat. Akad. Nauk Ukrainy, 1999.

    Google Scholar 

  3. Barsegyan, V.R., Control of Linear Dynamic Systems with Constrained Values of Parts of Coordinates of the Phase Vector at the Intermediate Time Instants, Dokl. Nat. Akad. Nauk Armenii, 2010, vol. 110, no. 3, pp. 251–260.

    MathSciNet  Google Scholar 

  4. Barsegyan, V.R., Control of Step-by-Step Varying Linear Dynamic Systems with Constrained Values of Parts of Coordinates of the Phase Vector at the Intermediate Time Instants, Tr. Inst. Sist. Anal. Ross. Akad. Nauk, 2010, vol. 53 (2), no. 14, pp. 7–18.

    Google Scholar 

  5. Barsegyan, V.R., Optimal Control of Linear Systems under Fixed Intermediate Phase States, Izv. Nat. Akad. Nauk Resp. Armenii, Mekhanika, 1999, vol. 52, no. 2, pp. 56–62

    MathSciNet  Google Scholar 

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

    Google Scholar 

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

    MATH  Google Scholar 

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

    Google Scholar 

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Authors and Affiliations

  1. Yerevan State University, Yerevan, Armenia

    V. R. Barseghyan & T. V. Barseghyan

Authors
  1. V. R. Barseghyan
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  2. T. V. Barseghyan
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Correspondence to V. R. Barseghyan.

Additional information

Original Russian Text © V.R. Barseghyan, T.V. Barseghyan, 2015, published in Avtomatika i Telemekhanika, 2015, No. 4, pp. 3–15.

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Barseghyan, V.R., Barseghyan, T.V. On an approach to the problems of control of dynamic systems with nonseparated multipoint intermediate conditions. Autom Remote Control 76, 549–559 (2015). https://doi.org/10.1134/S0005117915040013

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  • DOI: https://doi.org/10.1134/S0005117915040013

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