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Gradient refinement methods for optimal impulse control problems

  • Large Scale Systems Control
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Abstract

An optimal control problem is considered for a system described by a differential equation with measures; a certain constraint is imposed on the total variation of controlmeasure. Involving the method of discontinuous time reparameterization, an interpretation is performed for the procedures of weak control variation in an auxiliary reduced problem, and new refinement methods are developed for impulsive processes. An example is provided.

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References

  1. Gurman, V.I., Vyrozhdennye zadachi optimal’nogo upravleniya (Degenerate Problems of Optimal Control), Moscow: Nauka, 1977.

    MATH  Google Scholar 

  2. Gurman, V.I., Baturin, V.A., Danilina, E.V., et al., Novye metody uluchsheniya upravlyaemykh protsessov (New Refinement Methods for Control Processes), Novosibirsk: Nauka, 1987.

    MATH  Google Scholar 

  3. Dykhta, V.A., Impulse Optimal Control in Models of Economics and Quantum Electronics, Autom. Remote Control, 1999, vol. 60, no. 11, part 2, pp. 1603–1613.

    MathSciNet  MATH  Google Scholar 

  4. Dykhta, V.A. and Samsoniuk, O.N., Optimal’noe impul’snoe upravlenie s prilozheniyami (Optimal Impulse Control with Applications), Moscow: Fizmatlit, 2000.

    MATH  Google Scholar 

  5. Zavalishchin, S.T. and Sesekin, A.N., Impul’snye protsessy: modeli i prilozheniya (Impulsive Processes: Models and Applications), Moscow: Nauka, 1991.

    MATH  Google Scholar 

  6. Miller, B.M. and Rubinovich, E.Ya., Optimizatsiya dinamicheskikh sistem s impul’snymi upravleniyami (Optimization of Dynamic Systems with Impulsive Controls), Moscow: Nauka, 2005.

    Google Scholar 

  7. Srochko, V.A., Iteratsionnye metody resheniya zadach optimal’nogo upravleniya (Iterative Methods for Solution of the Optimal Control Problems), Moscow: Fizmatlit, 2000.

    Google Scholar 

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Authors and Affiliations

  1. Institute of Systems Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Irkutsk, Russia

    E. V. Goncharova & M. V. Staritsyn

Authors
  1. E. V. Goncharova
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  2. M. V. Staritsyn
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Original Russian Text © E.V. Goncharova, M.V. Staritsyn, 2010, published in Upravlenie Bol’shimi Sistemami, 2010, No. 31, pp. 35–48.

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Goncharova, E.V., Staritsyn, M.V. Gradient refinement methods for optimal impulse control problems. Autom Remote Control 72, 2188–2195 (2011). https://doi.org/10.1134/S0005117911100171

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  • DOI: https://doi.org/10.1134/S0005117911100171

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