Discrete-Time Switched Models of Non-linear Fractional-Order Systems

2020 ◽  
pp. 1176-1188
Author(s):  
Stefan Domek
Keyword(s):  
Fractional Order ◽  
Discrete Time ◽  
Fractional Order Systems ◽  
Non Linear

scholarly journals On the robustness of linear and non-linear fractional-order systems with non-linear uncertain parameters

2015 ◽  
Vol 33 (4) ◽  
pp. 997-1014 ◽  
Author(s):  
Ibrahima N'Doye ◽  
Mohamed Darouach ◽  
Holger Voos ◽  
Michel Zasadzinski
Keyword(s):  
Fractional Order ◽  
Uncertain Parameters ◽  
Fractional Order Systems ◽  
Non Linear

Local controllability of nonlinear discrete-time fractional order systems

2013 ◽  
Vol 61 (1) ◽  
pp. 251-256 ◽  
Author(s):  
D. Mozyrska ◽  
E. Pawłuszewicz
Keyword(s):  
Linear Approximation ◽  
Fractional Order ◽  
Discrete Time ◽  
Local Controllability ◽  
Difference Operators ◽  
Fractional Order Systems ◽  
Discrete Time System ◽  
Controllability Problem ◽  
Time System ◽  
Order Difference

Abstract The Riemann-Liouville, Caputo and Gr¨unwald-Letnikov fractional order difference operators are discussed and used to state and solve the controllability problem of a nonlinear fractional order discrete-time system. It is shown that independently of the type of fractional order difference, such a system is locally controllable in q steps if its linear approximation is globally controllable in q steps

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