Title :
The general Lanczos method and MIMO linear systems
Author :
Aliaga, Jose I. ; Boley, Daniel L. ; Hernandez, Vicente
Author_Institution :
Dipt. Inf., Univ. Jaume I, Castellón, Spain
Abstract :
The general Lanczos method (GLM) permits us to solve the breakdown and the block reduction problems related to the block version of the nonsymmetric Lanczos method. The main idea is to exploit the relation among Lanczos methods and Gram-Schmidt processes. The GLM generates the bases of two block Krylov subspaces, then MIMO control problems which can be formulated in terms of Krylov subspaces may be solved by using this method. In this paper, we show how it is possible to solve in this way, minimal realization and model reduction problems.
Keywords :
MIMO systems; control system synthesis; linear systems; reduced order systems; GLM; Gram-Schmidt processes; MIMO control; MIMO linear systems; block reduction problems; breakdown problems; general Lanczos method; minimal realization problems; model reduction problems; nonsymmetric Lanczos method; two block Krylov subspaces; Control systems; Eigenvalues and eigenfunctions; Electric breakdown; Linear systems; Markov processes; Reduced order systems; Symmetric matrices; controllability; general Lanczos method; linear systems; model reduction; observability;
Conference_Titel :
Control Conference (ECC), 1997 European
Conference_Location :
Brussels
Print_ISBN :
978-3-9524269-0-6
