Title :
About solution of the continuous-time algebraic Riccati equation
Author :
Larin, Vladimir B.
Author_Institution :
Inst. of Mech., Acad. of Sci., Kiev, Ukraine
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;
Conference_Titel :
Intelligent Control and Automation, 2000. Proceedings of the 3rd World Congress on
Conference_Location :
Hefei
Print_ISBN :
0-7803-5995-X
DOI :
10.1109/WCICA.2000.863186
