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Operators of Bounded Locally Optimal Controls for Dynamic Systems

  • Vladimir N. Kozlov
  • Artem A. EfremovEmail author
Conference paper
Part of the Lecture Notes in Networks and Systems book series (LNNS, volume 95)

Abstract

The problems of locally linear and quadratic optimal stabilization in finite-dimensional and functional spaces based on the projection method were studied in a number of papers [1, 2, 4, 5], as well as in a series of other studies. In this paper, the problem of quadratic locally optimal program stabilization in functional space is formulated, from which follows the problem of quadratic locally optimal stabilization of the equilibrium state of a dynamical system.

Keywords

Locally optimal controls Finite-dimensional optimization projectors 

References

  1. 1.
    Kozlov, V.N.: Method of non-linear operators in automated design of dynamic systems, 166 p. Leningrad state university named after A.A. Zhdanov, Leningrad (1986). (in Russian)Google Scholar
  2. 2.
    Kozlov, V.N., Kupriyanov, V.E., Zaborovskiy, V.S.: Computational methods for the synthesis of automatic control systems, 220 p. Leningrad state university named after A.A. Zhdanov, Leningrad (1989). (in Russian)Google Scholar
  3. 3.
    Kozlov, V.N.: The method of minimization of linear functionals based on compakt sets. In: Proceedings of the 12th International Workshop on Computer Science and Information Technologies (CSIT 2010), Moscow – St. Petersburg, vol. 2, pp. 157–159 (2010). (in Russian)Google Scholar
  4. 4.
    Kozlov, V.N.: Smooth systems, operators of optimization and stability of energy systems, 177 p. St. Petersburg Polytechnic University, St. Petersburg (2012). (in Russian)Google Scholar
  5. 5.
    Kozlov, V.N.: A projection method for optimizing optimal limited controls of dynamic systems, 190 p. Publishing and Printing Association of Higher Education Institutions St. Petersburg (2018). (in Russian)Google Scholar
  6. 6.
    Kozlov, V.N., Efremov, A.A.: Introduction to functional analysis, 79 p. Publishing and Printing Association of Higher Education Institutions, St. Petersburg (2018). (in Russian)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Peter the Great St. Petersburg Polytechnic UniversitySaint PetersburgRussia

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