DocumentCode
772851
Title
Solution of Lyapunov equation with system matrix in companion form
Author
Sreeram, V. ; Agathoklis, P.
Author_Institution
Dept. of Electr. & Electron. Eng., Western Australia Univ., Nedlands, WA, Australia
Volume
138
Issue
6
fYear
1991
fDate
11/1/1991 12:00:00 AM
Firstpage
529
Lastpage
534
Abstract
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
Keywords
Lyapunov methods; linear systems; matrix algebra; stability criteria; Lyapunov equation; Routh table; linear continuous systems; matrix algebra; stability; system matrix;
fLanguage
English
Journal_Title
Control Theory and Applications, IEE Proceedings D
Publisher
iet
ISSN
0143-7054
Type
jour
Filename
101345
Link To Document