On Stability Tests of Spatially Distributed Systems
P. Augusta1, Z. Hurák2
1 Czech Academy of Sciences
2 Czech Technical University in Prague
Abstract
The paper describes tests of stability of spatially distributed shift-invariant systems discrete in both time and space. The systems are considered to be described by multivariate polynomial fractions, so, the tests based on manipulation with polynomials are taken into account. Methods of root maps and Schur-Cohn criterion are depicted and shown by means of examples. These methods originally formulated for systems with lumped parameters are used for multidimensional systems with support on a symmetric half-plane. At the end of the paper the problem of stability of multivariate polynomial is formulated as a problem of stability of interval polynomial. The problem is then solved using of Kharitonov's theorem.
Full paper
Session
Modelling, Simulation, and Identification of Processes (Poster)
Reference
Augusta, P., Hurák, Z.: On Stability Tests of Spatially Distributed Systems. Editors: Fikar, M., Kvasnica, M., In Proceedings of the 17th International Conference on Process Control ’09, Štrbské Pleso, Slovakia, 205–212, 2009
BibTeX
| @inProceedings{pc09-080, | ||
| author | = { | Augusta, P. and Hurák, Z.}, |
| title | = { | On Stability Tests of Spatially Distributed Systems}, |
| booktitle | = { | Proceedings of the 17th International Conference on Process Control '09}, |
| year | = { | 2009}, |
| pages | = { | 205-212}, |
| editor | = { | Fikar, M. and Kvasnica, M.}, |
| address | = { | Štrbské Pleso, Slovakia}, |
| publisher | = { | Slovak University of Technology in Bratislava}, |
| url | = { | http://www.kirp.chtf.stuba.sk/pc09/data/papers/080.pdf}} |