Independence of asymptotic stability of positive 2D linear systems with delays of their delays
International Journal of Applied Mathematics and Computer Science (2009)
- Volume: 19, Issue: 2, page 255-261
- ISSN: 1641-876X
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topTadeusz Kaczorek. "Independence of asymptotic stability of positive 2D linear systems with delays of their delays." International Journal of Applied Mathematics and Computer Science 19.2 (2009): 255-261. <http://eudml.org/doc/207932>.
@article{TadeuszKaczorek2009,
abstract = {It is shown that the asymptotic stability of positive 2D linear systems with delays is independent of the number and values of the delays and it depends only on the sum of the system matrices, and that the checking of the asymptotic stability of positive 2D linear systems with delays can be reduced to testing that of the corresponding positive 1D systems without delays. The effectiveness of the proposed approaches is demonstrated on numerical examples.},
author = {Tadeusz Kaczorek},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {2D systems; systems with delays; asymptotic stability; positive systems},
language = {eng},
number = {2},
pages = {255-261},
title = {Independence of asymptotic stability of positive 2D linear systems with delays of their delays},
url = {http://eudml.org/doc/207932},
volume = {19},
year = {2009},
}
TY - JOUR
AU - Tadeusz Kaczorek
TI - Independence of asymptotic stability of positive 2D linear systems with delays of their delays
JO - International Journal of Applied Mathematics and Computer Science
PY - 2009
VL - 19
IS - 2
SP - 255
EP - 261
AB - It is shown that the asymptotic stability of positive 2D linear systems with delays is independent of the number and values of the delays and it depends only on the sum of the system matrices, and that the checking of the asymptotic stability of positive 2D linear systems with delays can be reduced to testing that of the corresponding positive 1D systems without delays. The effectiveness of the proposed approaches is demonstrated on numerical examples.
LA - eng
KW - 2D systems; systems with delays; asymptotic stability; positive systems
UR - http://eudml.org/doc/207932
ER -
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