Title :
Local controllability of multi-term semi-linear control systems with the Caputo-type fractional difference operator
Author :
Pawluszewicz, Ewa ; Mozyrska, Dorota
Author_Institution :
Fac. of Mech. Eng., Bialystok Univ. of Technol., Białystok, Poland
Abstract :
In the paper the local controllability problem of fractional multi-order and multi-step discrete-time semi-linear control systems is considered. The Caputo-type fractional order difference operator is used. The classical Kalman´s controllability condition is extended to the class of fractional order multi-term linear control systems. A sufficient condition for local controllability of fractional order multi-term semi-linear control system is given.
Keywords :
Kalman filters; controllability; difference equations; discrete time systems; linear systems; Caputo-type fractional order difference operator; Kalman controllability condition; fractional multiorder discrete-time semilinear control systems; fractional order multiterm semilinear control system; local controllability problem; multistep discrete-time semilinear control systems; sufficient condition; Controllability; Difference equations; Fractional calculus; Kalman filters; Linear approximation; Linear systems;
Conference_Titel :
Methods and Models in Automation and Robotics (MMAR), 2014 19th International Conference On
Conference_Location :
Miedzyzdroje
Print_ISBN :
978-1-4799-5082-9
DOI :
10.1109/MMAR.2014.6957340
