scholarly journals On solutions of fractional order time varying linear dynamical systems model

2021 ◽  
Vol 28 (1) ◽  
pp. 300-308
Author(s):  
Mahmut Modanli ◽  
Ali Akgül
Keyword(s):  
Dynamical Systems ◽  
Fractional Order ◽  
Time Varying ◽  
Linear Dynamical Systems ◽  
Systems Model

The Time-Varying Fractional Order Difference Equations

2003 ◽  
Author(s):  
Piotr W. Ostalczyk
Keyword(s):  
Dynamical Systems ◽  
Fractional Order ◽  
Difference Equations ◽  
Control Strategy ◽  
Closed Loop ◽  
Time Varying ◽  
Linear Difference Equations ◽  
Order Difference ◽  
Numerical Example ◽  
Fractional Orders

In this paper we explore the linear difference equations with fractional orders being a function of time. A description of closed-loop dynamical systems described by such equations is proposed. In the numerical example a simple control strategy based on time-varying fractional orders is presented.

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