DocumentCode
765056
Title
On the solution of the continuous-time Lyapunov matrix equation in two canonical forms
Author
Xiao, C.-S. ; Feng, Z.-M. ; Shan, X.-M.
Author_Institution
Dept. of Electron. Eng., Tsinghua Univ., Beijing, China
Volume
139
Issue
3
fYear
1992
fDate
5/1/1992 12:00:00 AM
Firstpage
286
Lastpage
290
Abstract
A novel algorithm is presented for the solution to the continuous-time Lyapunov matrix equation in controllable and/or observable canonical forms by using the dimension-reduced method. The solution evaluation by this method is more accurate and considerably faster than any previously published methods. Numerical examples are given with systems in stable minimal and in unstable nonminimal forms to demonstrate the computational procedure.
Keywords
Lyapunov methods; eigenvalues and eigenfunctions; matrix algebra; continuous-time Lyapunov matrix equation; controllable canonical form; observable canonical forms; stable minimal form; unstable nonminimal form;
fLanguage
English
Journal_Title
Control Theory and Applications, IEE Proceedings D
Publisher
iet
ISSN
0143-7054
Type
jour
Filename
141518
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