Approximated synthesis of optimal control for optimal stability problem with fast oscillating coefficients

Authors

  • O. A. Kapustyan

Abstract

The questions of synthesis of optimal bounded (depending on time only) control for the optimal stability problem with fast oscillating coefficients are considered in the paper. Averaged feedback control was obtained earlier through Fourier coefficients of averaged problems on eigenvalues. The convergence of approximated control to exact one is proved and the property of asymptotic stability for initial system, closed by such a control, is established.

Author Biography

O. A. Kapustyan

Kapustyan O.A.

Downloads

Issue

No. 1 (2005)

Section

Methods of optimization, optimum control and theory of games

License

This is an open access journal which means that all content is freely available without charge to the user or his/her institution. Users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles in this journal without asking prior permission from the publisher or the author. This is in accordance with the BOAI definition of open access.