Title :
The group properties of the algebraic Riccati equations
Author :
Evnin, Alexander Yu
Author_Institution :
Dept. of Appl. Math., Chelyabinsk State Univ., Russia
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;
Conference_Titel :
System Theory, 1994., Proceedings of the 26th Southeastern Symposium on
Conference_Location :
Athens, OH
Print_ISBN :
0-8186-5320-5
DOI :
10.1109/SSST.1994.287860
