Title :
A new solution of the Lyapunov equation
Author :
Antoulas, A.C. ; Sorensen, D.C.
Author_Institution :
Dept. of Electr. & Comput. Eng., Rice Univ., Houston, TX, USA
Abstract :
We propose a way of solving the Lyapunov equation without computing eigenvalues. This method is related to the Schwarz form of a matrix. The solution can be obtained using the two-sided Lanczos approach by defining appropriate starting vectors
Keywords :
Lyapunov methods; controllability; matrix algebra; Lyapunov equation; Schwarz form; starting vectors; two-sided Lanczos approach; Eigenvalues and eigenfunctions; Equations; Inspection; Mathematics; Stability; Writing;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.831345
