| bibtype |
C -
Conference Paper (international conference)
|
| ARLID |
0347862 |
| utime |
20240111140744.9 |
| mtime |
20101011235959.9 |
| title
(primary) (eng) |
Distributed stabilization of spatially invariant systems: positive polynomial approach |
| specification |
| page_count |
7 s. |
| media_type |
DVD Rom |
|
| serial |
| ARLID |
cav_un_epca*0347861 |
| ISBN |
978-963-311-370-7 |
| title
|
Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems - MTNS 2010 |
| page_num |
773-779 |
| publisher |
| place |
Budapest |
| name |
Eötvös Loránd University |
| year |
2010 |
|
|
| keyword |
polynomial matrix |
| keyword |
boundary control |
| keyword |
differential equations |
| author
(primary) |
| ARLID |
cav_un_auth*0213204 |
| name1 |
Augusta |
| name2 |
Petr |
| full_dept (cz) |
Teorie řízení |
| full_dept (eng) |
Department of Control Theory |
| department (cz) |
TŘ |
| department (eng) |
TR |
| institution |
UTIA-B |
| full_dept |
Department of Control Theory |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0021097 |
| name1 |
Hurák |
| name2 |
Z. |
| country |
CZ |
|
| source |
| source_type |
textový dokument |
| source_size |
463 kB |
|
| cas_special |
| project |
| project_id |
1M0567 |
| agency |
GA MŠk |
| country |
CZ |
| ARLID |
cav_un_auth*0202350 |
|
| research |
CEZ:AV0Z10750506 |
| abstract
(eng) |
The paper gives a computationally feasible characterisation of spatially distributed discrete-time controllers stabilising a spatially invariant system. This gives a building block for convex optimisation based control design for these systems. Mathematically, such systems are described by partial differential equations with coefficients independent on time and location. In this paper, a situation with one spatial and one temporal variable is considered. Models of such systems can take a form of a 2-D transfer function. Stabilising distributed feedback controllers are then parametrised as a solution to the Diophantine equation ax + by = c for a given stable bivariate polynomial c. This paper brings a computational characterisation of all such stable 2-D polynomials exploiting the relationship between a stability of a 2-D polynomial and positiveness of a related polynomial matrix on the unit circle. Such matrices are usually bilinear in the coefficients of the original polynomials. |
| action |
| ARLID |
cav_un_auth*0264563 |
| name |
The 19th International Symposium on Mathematical Theory of Networks and Systems - MTNS 2010 |
| place |
Budapešť |
| dates |
05.07.2010-09.07.2010 |
| country |
HU |
|
| reportyear |
2011 |
| RIV |
BC |
| num_of_auth |
2 |
| permalink |
http://hdl.handle.net/11104/0188540 |
| arlyear |
2010 |
| mrcbU56 |
textový dokument 463 kB |
| mrcbU63 |
cav_un_epca*0347861 Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems - MTNS 2010 978-963-311-370-7 773 779 Budapest Eötvös Loránd University 2010 |
|