| Title:
|
Existence of pole-zero structures in a rational matrix equation arising in a decentralized stabilization of expanding systems (English) |
| Author:
|
Baksi, Dibyendu |
| Author:
|
Datta, Kanti B. |
| Author:
|
Ray, Goshaidas |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
38 |
| Issue:
|
2 |
| Year:
|
2002 |
| Pages:
|
[209]-216 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A necessary and sufficient condition for the existence of pole and zero structures in a proper rational matrix equation $T_{2} X = T_{1}$ is developed. This condition provides a new interpretation of sufficient conditions which ensure decentralized stabilizability of an expanded system. A numerical example illustrate the theoretical results. (English) |
| Keyword:
|
pole-zero structure |
| Keyword:
|
decentralized stabilizability |
| Keyword:
|
expanded system |
| Keyword:
|
rational matrix equation |
| MSC:
|
93A14 |
| MSC:
|
93B55 |
| MSC:
|
93B60 |
| MSC:
|
93D15 |
| idZBL:
|
Zbl 1265.93003 |
| idMR:
|
MR1916452 |
| . |
| Date available:
|
2009-09-24T19:45:07Z |
| Last updated:
|
2015-03-24 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135456 |
| . |
| Reference:
|
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| Reference:
|
[2] Emani-Naeini A., Dooren P. Van: Computation of zeros of linear multivariable systems.Automatica 18 (1982), 415–430 MR 0667559, 10.1016/0005-1098(82)90070-X |
| Reference:
|
[3] Ikeda M.: Decentralized control of large scale systems.In: Three Decades of Mathematical System Theory (H. Nijmeijer and J. M Schumacher, eds., Lecture Notes in Control and Information Sciences 135), Springer–Verlag, Berlin – Heidelberg – New York 1989 Zbl 0683.93009, MR 1025792 |
| Reference:
|
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| Reference:
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| Reference:
|
[6] Tan X. L., Ikeda M.: Decentralized stabilization for expanding construction of large scale systems.IEEE Trans. Automat. Control 35 (1990), 644–651 Zbl 0800.93065, MR 1055494, 10.1109/9.53543 |
| Reference:
|
[7] Unyelioglu K. A., Ozguler A. B.: Decentralized stabilization of multivariable systems using stable proper fractional approach.Communication, Control and Signal Processing (1990), 843–849 |
| Reference:
|
[8] Vardulakis A. I. G., Karcanias N.: On the stable exact model matching problem.Systems Control Lett. 5 (1985), 237–242 Zbl 0559.93018, MR 0784772, 10.1016/0167-6911(85)90015-5 |
| Reference:
|
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| . |
