General analytical forms for the solution of the Sylvester and Lyapunov equations for continuous and discrete dynamic systems
- Authors: Zubov N.E.1,2, Zybin E.Y.1,2, Mikrin E.A.1,2, Misrikhanov M.S.1,2, Ryabchenko V.N.1,2
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Affiliations:
- Bauman State Technical University
- Korolev Rocket and Space Corporation Energia
- Issue: Vol 56, No 1 (2017)
- Pages: 1-18
- Section: Systems Theory and General Control Theory
- URL: https://journals.rcsi.science/1064-2307/article/view/219788
- DOI: https://doi.org/10.1134/S1064230717010130
- ID: 219788
Cite item
Abstract
An approach to forming analytical solutions of the discrete and continuous Sylvester and Lyapunov linear algebraic matrix equations is described. The approach is based on reducing the square matrix to the Jordan normal form. Examples, algorithms, and implementations in Matlab are presented.
About the authors
N. E. Zubov
Bauman State Technical University; Korolev Rocket and Space Corporation Energia
Author for correspondence.
Email: nik.zubov@gmail.com
Russian Federation, Moscow, 105005; Korolev, Moscow oblast, 141070
E. Yu. Zybin
Bauman State Technical University; Korolev Rocket and Space Corporation Energia
Email: nik.zubov@gmail.com
Russian Federation, Moscow, 105005; Korolev, Moscow oblast, 141070
E. A. Mikrin
Bauman State Technical University; Korolev Rocket and Space Corporation Energia
Email: nik.zubov@gmail.com
Russian Federation, Moscow, 105005; Korolev, Moscow oblast, 141070
M. Sh. Misrikhanov
Bauman State Technical University; Korolev Rocket and Space Corporation Energia
Email: nik.zubov@gmail.com
Russian Federation, Moscow, 105005; Korolev, Moscow oblast, 141070
V. N. Ryabchenko
Bauman State Technical University; Korolev Rocket and Space Corporation Energia
Email: nik.zubov@gmail.com
Russian Federation, Moscow, 105005; Korolev, Moscow oblast, 141070