The solution of the Lyapunov matrix equations

  • S. M. Chuiko Donbass State Pedagogical University
DOI: https://doi.org/10.26565/2221-5646-2014-1120-06
Keywords: Lyapunov matrix equation, Riccati matrix equation, pseudoinverse operator

Abstract

Lyapunov matrix equations widely used in the theory of stability of motion, as well as the solution of differential Riccati equations. If the structure of the general solution of the homogeneous part of the Lyapunov equation is well studied, the solution of the inhomogeneous Lyapunov equation is quite cumbersome. We have proposed a formula for constructing a particular solution of the nonhomogeneous Lyapunov equation.

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Published
2014-09-16
Cited
How to Cite
Chuiko, S. M. (2014). The solution of the Lyapunov matrix equations. Visnyk of V. N. Karazin Kharkiv National University. Ser. Mathematics, Applied Mathematics and Mechanics, (1120), 85-94. https://doi.org/10.26565/2221-5646-2014-1120-06
Issue
No. 1120 (2014)
Section
Статті

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