Structural invariants of two-dimensional systems
In this paper, some fundamental structural properties of two-dimensional (2-D) systems which remain invariant under feedback and output-injection transformation groups are identified and investigated for the first time. As is well known, structural invariants that follow from the definition of contr...
| Main Author: | |
|---|---|
| Format: | Journal Article |
| Published: |
Society for Industrial and Applied Mathematics
2012
|
| Online Access: | http://hdl.handle.net/20.500.11937/41067 |
| _version_ | 1848756042028023808 |
|---|---|
| author | Ntogramatzidis, Lorenzo |
| author_facet | Ntogramatzidis, Lorenzo |
| author_sort | Ntogramatzidis, Lorenzo |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, some fundamental structural properties of two-dimensional (2-D) systems which remain invariant under feedback and output-injection transformation groups are identified and investigated for the first time. As is well known, structural invariants that follow from the definition of controlled and conditioned invariance, output-nulling, input-containing, self-bounded and self-hidden subspaces play pivotal roles in many theoretical studies of systems theory and in the solution of several control/estimation problems. These concepts are developed and studied within a 2-D context in this paper. |
| first_indexed | 2025-11-14T09:05:54Z |
| format | Journal Article |
| id | curtin-20.500.11937-41067 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:05:54Z |
| publishDate | 2012 |
| publisher | Society for Industrial and Applied Mathematics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-410672017-09-13T16:01:42Z Structural invariants of two-dimensional systems Ntogramatzidis, Lorenzo In this paper, some fundamental structural properties of two-dimensional (2-D) systems which remain invariant under feedback and output-injection transformation groups are identified and investigated for the first time. As is well known, structural invariants that follow from the definition of controlled and conditioned invariance, output-nulling, input-containing, self-bounded and self-hidden subspaces play pivotal roles in many theoretical studies of systems theory and in the solution of several control/estimation problems. These concepts are developed and studied within a 2-D context in this paper. 2012 Journal Article http://hdl.handle.net/20.500.11937/41067 10.1137/100815153 Society for Industrial and Applied Mathematics fulltext |
| spellingShingle | Ntogramatzidis, Lorenzo Structural invariants of two-dimensional systems |
| title | Structural invariants of two-dimensional systems |
| title_full | Structural invariants of two-dimensional systems |
| title_fullStr | Structural invariants of two-dimensional systems |
| title_full_unstemmed | Structural invariants of two-dimensional systems |
| title_short | Structural invariants of two-dimensional systems |
| title_sort | structural invariants of two-dimensional systems |
| url | http://hdl.handle.net/20.500.11937/41067 |