General analytical forms for the solution of the Sylvester and Lyapunov equations for continuous and discrete dynamic systems

N. E. Zubov; E. Yu. Zybin; E. A. Mikrin; M. Sh. Misrikhanov; V. N. Ryabchenko

doi:10.1134/S1064230717010130

General analytical forms for the solution of the Sylvester and Lyapunov equations for continuous and discrete dynamic systems

Авторы: Zubov N.¹^,2, Zybin E.¹^,2, Mikrin E.¹^,2, Misrikhanov M.¹^,2, Ryabchenko V.¹^,2
Учреждения:
1. Bauman State Technical University
2. Korolev Rocket and Space Corporation Energia
Выпуск: Том 56, № 1 (2017)
Страницы: 1-18
Раздел: 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

Цитировать

Полный текст

Открытый доступ
Доступ закрыт

Доступ предоставлен
Доступ закрыт

Только для подписчиков

Аннотация
Об авторах
Список литературы
Статистика

Аннотация

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.