Description
Fractional Calculus FC goes back to the beginning 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 revealed 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 FC in the study of
system dynamics and control. In this perspective, this paper investigates the use of FC in the fields
of controller tuning, legged robots, redundant robots, heat diffusion, and digital circuit synthesis.