Optimal control by linear almost conservative systems

Authors

  • V. V. Novitsky Institute of Mathematics, NAS of Ukraine
  • M. O. Zinchuk Institute of Mathematics, NAS of Ukraine
  • O. P. Kolomiychuk Institute of Mathematics, NAS of Ukraine
  • O. V. Teteryatnik Institute of Mathematics, NAS of Ukraine

Abstract

In this paper, discrete and continuous linear almost conservative systems with quadratic performance index are considered. The technique of constructing an optimal control based on the power series expansion of a matrix-solution of the Riccati equation is proposed. The results are demonstrated by illustrative examples.

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Published

2017-12-22

How to Cite

Novitsky, V. V., Zinchuk, M. O., Kolomiychuk, O. P., & Teteryatnik, O. V. (2017). Optimal control by linear almost conservative systems. Transactions of Institute of Mathematics, the NAS of Ukraine, 13(3), 174–190. Retrieved from https://trim.imath.kiev.ua/index.php/trim/article/view/51

Issue

Vol. 13 No. 3 (2016): Mathematical problems of mechanics and computational mathematics

Section

Research papers