DocumentCode
1827498
Title
The group properties of the algebraic Riccati equations
Author
Evnin, Alexander Yu
Author_Institution
Dept. of Appl. Math., Chelyabinsk State Univ., Russia
fYear
1994
fDate
20-22 Mar 1994
Firstpage
321
Lastpage
322
Abstract
In this paper some group properties of the algebraic Riccati equation are discovered. These priorities allow us to get brief and simple substantiation of using matrix-sign function method to solving Silvester (and Lyapunov as a particular case) equation. Also some computational aspects of matrix signum calculating are discussed, and some numerical tests´ results are represented
Keywords
matrix algebra; Lyapunov equations; Silvester equation; algebraic Riccati equations; group properties; matrix sign function; Control systems; Ear; Eigenvalues and eigenfunctions; Hydrogen; Lagrangian functions; Mathematics; Riccati equations; System testing; Transforms;
fLanguage
English
Publisher
ieee
Conference_Titel
System Theory, 1994., Proceedings of the 26th Southeastern Symposium on
Conference_Location
Athens, OH
ISSN
0094-2898
Print_ISBN
0-8186-5320-5
Type
conf
DOI
10.1109/SSST.1994.287860
Filename
287860
Link To Document