Controlled and conditioned invariance with stability for two-dimensional systems

Author

Ntogramatzidis, Lorenzo ; Cantoni, Michael ; Yang, Ran

Author_Institution

Dept. of Math. & Stat., Curtin Univ. of Technol., Perth, WA, Australia

fYear

2009

fDate

June 29 2009-July 1 2009

Firstpage

1

Lastpage

8

Abstract

This paper collects, in a unified way, some recent results on a geometric approach to two-dimensional (2-D) system analysis and synthesis. The concepts of controlled and conditioned invariant subspaces, stabilisability and detectability subspaces, and output-nulling and input-containing subspaces, which prove useful in solving various 2-D filtering and decoupling problems, are developed for the Fornasini-Marchesini model in a general form.

Keywords

control system analysis; control system synthesis; filtering theory; stability; 2D filtering; Fornasini-Marchesini model; conditioned invariant subspaces; decoupling problems; detectability subspaces; geometric approach; input-containing subspaces; invariance control; output-nulling; stabilisability subspaces; two-dimensional system analysis; two-dimensional system synthesis; Control system synthesis; Control systems; Filtering; Output feedback; Radio access networks; Signal analysis; Stability analysis; State feedback; Sufficient conditions; Two dimensional displays;

fLanguage

English

Publisher

ieee

Conference_Titel

Multidimensional (nD) Systems, 2009. nDS 2009. International Workshop on

Conference_Location

Thessaloniki

Print_ISBN

978-1-4244-2797-0

Electronic_ISBN

978-1-4244-2798-7

Type

conf

DOI

10.1109/NDS.2009.5196170

Filename

5196170