Title :
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
fDate :
June 29 2009-July 1 2009
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;
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
DOI :
10.1109/NDS.2009.5196170
