@misc{Casagrande_Daniele_Fractional-order_2017,
 author={Casagrande, Daniele and Krajewski, Wiesław and Viaro, Umberto},
 copyright={Creative Commons Attribution BY 4.0 license},
 address={Warszawa},
 journal={Raport Badawczy = Research Report},
 howpublished={online},
 year={2017},
 publisher={Instytut Badań Systemowych. Polska Akademia Nauk},
 publisher={Systems Research Institute. Polish Academy of Sciences},
 language={eng},
 abstract={This chapter deals with the additive decomposition of the forced response of a fractional-order system. Precisely, it is shown how, by solving a simple polynomial Diophantine equation, this response can almost always be decomposed into the sum of a system-dependent component and an input-dependent component. Simple conditions based on the classical Routh and Mikhailov criteria are provided to check the system input-output stability. Several examples show that the aforementioned decomposition can profitably be exploited to find simplified models in such a way that the asymptotic response is kept unchanged and, at the same time, the transient behaviour is well approximated. The decomposition proves useful also for solving the so-called model-matching problem that is of particular interest in controller synthesis.},
 type={Text},
 title={Fractional-order system forced-response decomposition and its application},
 URL={http://rcin.org.pl./Content/144819/PDF/RB-2017-15.pdf},
 keywords={Stability, Stabilność, Model reduction, Redukcja modelu, Steady–state response, Reakcja stanu ustalonego, Rational-order system, System racjonalnego porządku, Continuous-time system, System ciągły, Lti system, System lti, Polynomial diophantine equation, Wielomianowe równanie diofantyczne, Stability criteria, Kryteria stabilności, Transient response, Odpowiedź przejściowa},
}