Title :
Reachability and controllability to zero of positive fractional discrete-time systems
Author :
Kaczorek, Tadeusz
Author_Institution :
Electr. Dept., Warsaw Univ. of Technol., Warsaw, Poland
Abstract :
A notion of positive fractional discrete-time system is introduced. Necessary and sufficient conditions are established for the positivity, reachability and controllability to zero of fractional discrete-time linear systems. The classical Cayley-Hamilton theorem is extended for the positive fractional systems.
Keywords :
controllability; discrete time systems; linear systems; reachability analysis; Cayley-Hamilton theorem; controllability; fractional discrete-time linear system; necessary condition; positive fractional system; positivity; reachability; sufficient condition; Controllability; Delays; Discrete-time systems; Equations; Fractional calculus; Linear systems; Sufficient conditions;
Conference_Titel :
Control Conference (ECC), 2007 European
Conference_Location :
Kos
Print_ISBN :
978-3-9524173-8-6
