DocumentCode
2340183
Title
About solution of the continuous-time algebraic Riccati equation
Author
Larin, Vladimir B.
Author_Institution
Inst. of Mech., Acad. of Sci., Kiev, Ukraine
Volume
5
fYear
2000
fDate
2000
Firstpage
3474
Abstract
The algorithm for the construction of a stabilising solution of algebraic Riccati equation (ARE) is considered. This algorithm is required for the determination of the special solution of quadratic matrix equation. It is shown that the solution searched for this equation can be expressed through the sign function of an appropriate matrix. It is noted that the basic relation of the algorithm is based on the known relations of the matrix sign function method
Keywords
Riccati equations; matrix algebra; algebraic Riccati equation; quadratic matrix equation; sign function; Eigenvalues and eigenfunctions; Matrix decomposition; Riccati equations;
fLanguage
English
Publisher
ieee
Conference_Titel
Intelligent Control and Automation, 2000. Proceedings of the 3rd World Congress on
Conference_Location
Hefei
Print_ISBN
0-7803-5995-X
Type
conf
DOI
10.1109/WCICA.2000.863186
Filename
863186
Link To Document