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Control and Dynamics of Fractional Order Systems
Author(s) -
J. A. Tenreiro Machado,
Isabel S. Jesus,
Ramiro S. Barbosa,
Manuel F. Silva
Publication year - 2009
Publication title -
studies in computational intelligence
Language(s) - English
Resource type - Book series
SCImago Journal Rank - 0.185
H-Index - 68
eISSN - 1860-9503
pISSN - 1860-949X
DOI - 10.1007/978-3-642-03633-0_14
Subject(s) - fractional calculus , calculus (dental) , nonlinear system , order (exchange) , control theory (sociology) , time scale calculus , optimal control , pid controller , dynamics (music) , hexapod , controller (irrigation) , computer science , mathematics , differential calculus , control (management) , mathematical optimization , control engineering , multivariable calculus , engineering , mathematical analysis , artificial intelligence , temperature control , physics , economics , robot , dentistry , biology , quantum mechanics , agronomy , medicine , finance , acoustics
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 nonlinear dynamics. This article discusses several applications of fractional calculus in science and engineering, namely: the control of heat systems, the tuning of PID controllers based on fractional calculus concepts and the dynamics in hexapod locomotion

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