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

fYear

2014

fDate

2-5 Sept. 2014

Firstpage

146

Lastpage

151

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/MMAR.2014.6957340

Filename

6957340