2009/11/08 by J. A. Tenreiro Machado, Manuel F. Silva, Ramiro S. Barbosa +4 · 3 citations
Engineering · Mathematics · #Robotic Mechanisms and Dynamics #Advanced Control Systems Design #Control and Dynamics of Mobile Robots #Fractional calculus #Controller (irrigation) #Calculus (dental) #Perspective (graphical) #Differential (mechanical device) #Field (mathematics) #Computer science #Robot #Control (management) #Control theory (sociology) #Mathematics #Applied mathematics #Engineering #Pure mathematics #Artificial intelligence #Aerospace engineering
paper · pdf · doi:10.1155/2010/639801
openalex publication_date 2009/11/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31
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.