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On certain approaches to optimization of control processes. I

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Abstract

We consider a general approach to approximate studies of optimal control problems on the abstract level with various representations and transformations of the object model, extension principles, localizations, sufficient optimality conditions, and on the qualitative level, the search for an approximate globally optimal control. Here we use and develop transformation methods for degenerate problems that are characteristic for applications in various domains. The resulting solution can serve as an initial approximation in subsequent iterative optimization procedures whose construction methods and properties are considered in the second part of the paper.

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Authors and Affiliations

  1. Ailamazyan Program Systems Institute, Russian Academy of Sciences, Pereslavl-Zalesskii, Russia

    I. V. Rasina & O. V. Fes’ko

  2. Buryat State University, Ulan-Ude, Russia

    I. S. Guseva

Authors
  1. V. I. Gurman
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  2. I. V. Rasina
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  3. O. V. Fes’ko
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  4. I. S. Guseva
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Corresponding author

Correspondence to I. V. Rasina.

Additional information

Original Russian Text © V.I. Gurman, I.V. Rasina, O.V. Fes’ko, I.S. Guseva, 2016, published in Avtomatika i Telemekhanika, 2016, No. 8, pp. 66–84.

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Gurman, V.I., Rasina, I.V., Fes’ko, O.V. et al. On certain approaches to optimization of control processes. I. Autom Remote Control 77, 1370–1385 (2016). https://doi.org/10.1134/S000511791608004X

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  • DOI: https://doi.org/10.1134/S000511791608004X

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