Title :
Balanced state-space representations: a polynomial algebraic approach
Author :
Rapisarda, P. ; Trentelman, H.L.
Author_Institution :
ISIS Group, Univ. of Southampton, Southampton, UK
Abstract :
We show how to compute a minimal Riccati-balanced state map and a minimal Riccati-balanced state space representation starting from an image representation of a strictly dissipative system. The result is based on an iterative procedure to solve a generalization of the Nevanlinna interpolation problem.
Keywords :
Riccati equations; image representation; interpolation; polynomials; state-space methods; Nevanlinna interpolation problem; Riccati balanced state map; Riccati balanced state space; dissipative system; image representation; polynomial algebraic approach; state space representations; Differential equations; Eigenvalues and eigenfunctions; Image representation; Instruments; Interpolation; Polynomials; Reduced order systems; Riccati equations; State-space methods; Transfer functions;
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5399719
