Application of fractional calculus in the control of mechanical systems

Tenreiro Machado, J. A.; Barbosa, Ramiro; Duarte, Fernando B. M.; Ferreira, Nuno M. F.

http://hdl.handle.net/10400.22/13365

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Authors

Tenreiro Machado, J. A.

Barbosa, Ramiro

Duarte, Fernando B. M.

Ferreira, Nuno M. F.

Abstract(s)

The Fractional Calculus (FC) goes back to the begining of the theory of differential calculus. Nevertheless, the application of FC just emerged in the last two decades, due to the progress in the area of chaos that revelead subtle relationships with the FC concepts. In the field of dynamical systems theory some work has been carried out but the proposed models and algorithms are still in a preliminary stage of establishment. Having these ideas in mind, the paper discusses a FC perspective in the study of the dynamics and control of mechanical systems.