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

fYear

1997

fDate

1-7 July 1997

Firstpage

3708

Lastpage

3712

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 1997 European

Conference_Location

Brussels

Print_ISBN

978-3-9524269-0-6

Type

conf

Filename

7082692