Title :
A two-variable approach to solve the polynomial Lyapunov equation
Author :
Peeters, Ralf ; Rapisarda, Paolo
Author_Institution :
Dept. of Math., Maastricht Univ., Netherlands
Abstract :
A two-variable polynomial approach to solve the one-variable polynomial Lyapunov equation is put forward. Such an approach yields an iterative solution method based on the method of Faddeev for the computation of matrix resolvents. The resulting algorithm is especially suitable for applications requiring symbolic or exact computation
Keywords :
Lyapunov matrix equations; iterative methods; polynomial matrices; exact computation; iterative solution method; one-variable polynomial Lyapunov equation; symbolic computation; two-variable approach; Calculus; Context; Differential equations; Iterative algorithms; Iterative methods; Lyapunov method; Mathematics; Polynomials; Stability; Vectors;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.914179