scholarly journals Discrete-Time Fractional-Order Systems: Modeling and Stability Issues

10.5772/51983 ◽  
2012 ◽  
Author(s):  
Said Guermah ◽  
Said Djennoune ◽  
Maamar Bettayeb
Keyword(s):  
Fractional Order ◽  
Discrete Time ◽  
Systems Modeling ◽  
Fractional Order Systems ◽  
Stability Issues

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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