METHODS OF OPTIMIZATION OF PARAMETRIC SYSTEMS

  • V. T. Matvienko Faculty of Computer Science and Cybernetics, Taras Shevchenko National University of Kyiv, Kyiv
  • V. V. Pichkur Faculty of Computer Science and Cybernetics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
  • D. I. Cherniy Faculty of Computer Science and Cybernetics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
DOI: https://doi.org/10.17721/2706-9699.2021.1.20
Keywords: parametric optimization, sensitivity matrix, optimality conditions

Abstract

The paper considers methods of parametric optimization of a dynamical system, which is described by a parametric system of differential equations. The gradient of the functional in the form of Boltz is found, which is the basis of methods such as gradient descent. Another method is based on the application of the sensitivity function.

References

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Published
2021-07-21
Issue
No 1 (135) (2021): Journal of Numerical and Applied Mathematics
Section
Articles