Relationship Between Controllability and Observability of Standard and Fractional Different Orders Discrete-Time Linear System

2018 ◽  
Author(s):  
Tadeusz Kaczorek ◽  
Lukasz Sajewski
Keyword(s):  
Linear System ◽  
Discrete Time ◽  
Controllability And Observability ◽  
Time Linear

Relationship between controllability and observability of standard and fractional different orders discrete-time linear system

2019 ◽  
Vol 22 (1) ◽  
pp. 158-169 ◽  
Author(s):  
Tadeusz Kaczorek ◽  
Łukasz Sajewski
Keyword(s):  
Linear System ◽  
Linear Systems ◽  
Fractional Order ◽  
Discrete Time ◽  
Numerical Examples ◽  
Controllability And Observability ◽  
The Relationship ◽  
Time Linear

Abstract The controllability and observability of fractional different orders discrete-time linear systems are analyzed. The relationship between controllability and observability of standard and fractional discrete-time linear systems are investigated. The influence of the fractional order on the controllability and observability is shown. Investigations are illustrated on numerical examples.

Design of Observers and Servomechanisms for a Discrete-Time Linear System with Periodic Disturbances.

1996 ◽  
Vol 62 (594) ◽  
pp. 593-600 ◽  
Author(s):  
Katsutoshi NAGANO ◽  
Hiromitsu HIKITA ◽  
Yuzuru KUBOTA ◽  
Naohiko HANAJIMA ◽  
Mitsuhisa YAMASHITA
Keyword(s):  
Linear System ◽  
Discrete Time ◽  
Periodic Disturbances ◽  
Time Linear
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