| bibtype |
J -
Journal Article
|
| ARLID |
0382623 |
| utime |
20240103201432.9 |
| mtime |
20121107235959.9 |
| WOS |
000312715000002 |
| SCOPUS |
84871789562 |
| DOI |
10.1007/s11045-011-0152-5 |
| title
(primary) (eng) |
Distributed stabilisation of spatially invariant systems: positive polynomial approach |
| specification |
|
| serial |
| ARLID |
cav_un_epca*0257286 |
| ISSN |
0923-6082 |
| title
|
Multidimensional Systems and Signal Processing |
| volume_id |
24 |
| page_num |
3-21 |
| publisher |
|
|
| keyword |
Multidimensional systems |
| keyword |
Algebraic approach |
| keyword |
Control design |
| keyword |
Positiveness |
| 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 |
|
| 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 controllers stabilising a linear spatially invariant system, that is, a system described by linear partial differential equations with coefficients independent on time and location. With one spatial and one temporal variable such a system can be modelled by 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 bi-variate polynomial c. The paper is built on the relationship between 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. For low-order discrete-time systems it is shown that a linearising factorisation of the polynomial Schur-Cohn matrix exists. For higher order plants and/or controllers such factorisation is not possible as the solution set is non-convex and one has to resort to some relaxation. For continuous-time systems, an analogue factorisation of the polynomial Hermite-Fujiwara matrix is not known. |
| reportyear |
2013 |
| RIV |
BC |
| num_of_auth |
2 |
| mrcbC52 |
4 A 4a 20231122135256.9 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0212792 |
| mrcbT16-e |
COMPUTERSCIENCETHEORYMETHODS|ENGINEERINGELECTRICALELECTRONIC |
| mrcbT16-f |
1.420 |
| mrcbT16-g |
0.400 |
| mrcbT16-h |
6.V |
| mrcbT16-i |
0.00096 |
| mrcbT16-j |
0.512 |
| mrcbT16-k |
355 |
| mrcbT16-l |
35 |
| mrcbT16-s |
0.810 |
| mrcbT16-z |
ScienceCitationIndex |
| mrcbT16-4 |
Q1 |
| mrcbT16-B |
46.217 |
| mrcbT16-C |
69.341 |
| mrcbT16-D |
Q3 |
| mrcbT16-E |
Q2 |
| arlyear |
2013 |
| mrcbTft |
\nSoubory v repozitáři: augusta-0382623.pdf |
| mrcbU14 |
84871789562 SCOPUS |
| mrcbU34 |
000312715000002 WOS |
| mrcbU63 |
cav_un_epca*0257286 Multidimensional Systems and Signal Processing 0923-6082 1573-0824 Roč. 24 Č. 1 2013 3 21 Springer |
|