Solution of Lyapunov equation with system matrix in companion form
作者:
V.Sreeram,
P.Agathoklis,
期刊:
IEE Proceedings D (Control Theory and Applications)
(IET Available online 1991)
卷期:
Volume 138,
issue 6
页码: 529-534
年代: 1991
DOI:10.1049/ip-d.1991.0074
出版商: IEE
数据来源: IET
摘要:
A simple method for solving the matrix Lyapunov equation for linear continuous systems with the system matrix in companion form is proposed. If the system is asymptotically stable, the solution of the Lyapunov equation can be obtained directly from the entries of a Routh table. The proposed method does not involve solution of a linear system of equations or matrix inversion and hence is computationally efficient compared to other techniques. It is illustrated by a numerical example.
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