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Digital Library of the
European Council for Modelling and Simulation |
Title: |
New
Stability Tests Of Positive 1D And 2D Linear Systems |
Authors: |
Tadeusz Kaczorek |
Published in: |
(2011).ECMS
2011 Proceedings edited by: T. Burczynski, J. Kolodziej, A. Byrski, M. Carvalho. European Council for Modeling and Simulation. doi:10.7148/2011 ISBN:
978-0-9564944-2-9 25th
European Conference on Modelling and Simulation, Jubilee Conference Krakow,
June 7-10, 2011
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Citation
format: |
Kaczorek, T. (2011). New Stability Tests
Of Positive 1D And 2D Linear Systems. ECMS 2011 Proceedings edited by: T. Burczynski, J. Kolodziej, A. Byrski, M. Carvalho
(pp. 237-243). European Council for Modeling and Simulation. doi:10.7148/2011-0237-0243 |
DOI: |
http://dx.doi.org/10.7148/2011-0237-0243 |
Abstract: |
New
tests for checking asymptotic stability of positive 1D continuous-time and
discrete-time linear systems without and with delays and of positive 2D
linear systems described by the general and the Roesser
models are proposed. Checking of the asymptotic stability of positive 2D
linear systems is reduced to checking of suitable corresponding 1D positive
linear systems. Effectiveness of the tests is shown on numerical examples. |
Full
text: |