Simple conditions for practical stability of positive fractional discrete-time linear systems
Mikołaj Busłowicz; Tadeusz Kaczorek
International Journal of Applied Mathematics and Computer Science (2009)
- Volume: 19, Issue: 2, page 263-269
- ISSN: 1641-876X
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topMikołaj Busłowicz, and Tadeusz Kaczorek. "Simple conditions for practical stability of positive fractional discrete-time linear systems." International Journal of Applied Mathematics and Computer Science 19.2 (2009): 263-269. <http://eudml.org/doc/207933>.
@article{MikołajBusłowicz2009,
abstract = {In the paper the problem of practical stability of linear positive discrete-time systems of fractional order is addressed. New simple necessary and sufficient conditions for practical stability and for practical stability independent of the length of practical implementation are established. It is shown that practical stability of the system is equivalent to asymptotic stability of the corresponding standard positive discrete-time systems of the same order. The discussion is illustrated with numerical examples.},
author = {Mikołaj Busłowicz, Tadeusz Kaczorek},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {linear system; positive; discrete-time; fractional; stability; practical stability},
language = {eng},
number = {2},
pages = {263-269},
title = {Simple conditions for practical stability of positive fractional discrete-time linear systems},
url = {http://eudml.org/doc/207933},
volume = {19},
year = {2009},
}
TY - JOUR
AU - Mikołaj Busłowicz
AU - Tadeusz Kaczorek
TI - Simple conditions for practical stability of positive fractional discrete-time linear systems
JO - International Journal of Applied Mathematics and Computer Science
PY - 2009
VL - 19
IS - 2
SP - 263
EP - 269
AB - In the paper the problem of practical stability of linear positive discrete-time systems of fractional order is addressed. New simple necessary and sufficient conditions for practical stability and for practical stability independent of the length of practical implementation are established. It is shown that practical stability of the system is equivalent to asymptotic stability of the corresponding standard positive discrete-time systems of the same order. The discussion is illustrated with numerical examples.
LA - eng
KW - linear system; positive; discrete-time; fractional; stability; practical stability
UR - http://eudml.org/doc/207933
ER -
References
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Citations in EuDML Documents
top- Tadeusz Kaczorek, Approximation of fractional positive stable continuous-time linear systems by fractional positive stable discrete-time systems
- Tadeusz Kaczorek, Krzysztof Rogowski, Positivity and stabilization of fractional 2D linear systems described by the Roesser model
- Rafał Stanisławski, Krzysztof J. Latawiec, Normalized finite fractional differences: Computational and accuracy breakthroughs
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