Structural invariants of implicit two-dimensional systems

Author

Ntogramatzidis, Lorenzo ; Cantoni, Michael

Author_Institution

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

fYear

2011

fDate

5-7 Sept. 2011

Firstpage

1

Lastpage

8

Abstract

Fundamental structural properties are identified for a class of implicit two-dimensional (2-D) system models with a form that is closed under static local-state feedback and output-injection transformations. The structural properties are investigated in terms of quater-plane causal solutions given compatible boundary conditions, controlled and conditioned invariants, and the corresponding output-nulling and input-containing subspaces. As is well known, such concepts play an important role in systems theory and in the solution of several control and estimation problems.

Keywords

causality; invariance; multidimensional systems; state feedback; compatible boundary conditions; conditioned invariants; controlled invariants; fundamental structural property; implicit two-dimensional system models; implicit two-dimensional systems; input-containing subspaces; output-injection transformations; output-nulling subspaces; quater-plane causal solutions; static local-state feedback; structural invariants; Boundary conditions; Equations; Feedback control; Frequency modulation; Mathematical model; Trajectory; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Multidimensional (nD) Systems (nDs), 2011 7th International Workshop on

Conference_Location

Poitiers

Print_ISBN

978-1-61284-815-0

Type

conf

DOI

10.1109/nDS.2011.6076871

Filename

6076871