Editorial special issue: “Dynamics and Control of Fractional Order Systems” International Journal of Dynamics and Control

2016 ◽  
Vol 5 (1) ◽  
pp. 1-3
Author(s):  
Cristina I. Muresan ◽  
J. A. Tenreiro Machado ◽  
Manuel D. Ortigueira
2013 ◽  
Vol 2013 ◽  
pp. 1-14 ◽  
Author(s):  
Margarita Rivero ◽  
Sergei V. Rogosin ◽  
José A. Tenreiro Machado ◽  
Juan J. Trujillo

The theory and applications of fractional calculus (FC) had a considerable progress during the last years. Dynamical systems and control are one of the most active areas, and several authors focused on the stability of fractional order systems. Nevertheless, due to the multitude of efforts in a short period of time, contributions are scattered along the literature, and it becomes difficult for researchers to have a complete and systematic picture of the present day knowledge. This paper is an attempt to overcome this situation by reviewing the state of the art and putting this topic in a systematic form. While the problem is formulated with rigour, from the mathematical point of view, the exposition intends to be easy to read by the applied researchers. Different types of systems are considered, namely, linear/nonlinear, positive, with delay, distributed, and continuous/discrete. Several possible routes of future progress that emerge are also tackled.


1995 ◽  
Vol 70 (2-3) ◽  
pp. 95
Author(s):  
F.E. Udwadia ◽  
H. Troger ◽  
G. Leitmann ◽  
H.P. Joergl ◽  
H. Flashner

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