Open AccessChallenges in fractional dynamics and control theory
Author(s) -
Dumitru Bǎleanu,
Riccardo Caponetto,
J. A. Tenreiro Machado
Publication year - 2016
Publication title -
journal of vibration and control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.734
H-Index - 68
eISSN - 1741-2986
pISSN - 1077-5463
DOI - 10.1177/1077546315609262
Subject(s) - fractional calculus , controllability , integer (computer science) , computer science , control (management) , range (aeronautics) , physical system , mathematics , dynamical systems theory , nonlinear system , calculus (dental) , mathematical optimization , artificial intelligence , engineering , physics , aerospace engineering , dentistry , medicine , programming language , quantum mechanics
Fractional integro-differentiation (or, non-integer order integro-differentiation) is a mathematical framework that leads to efficient tools for modeling and control many of physical systems. Nevertheless, the overall area is commonly refereed as Fractional Calculus (FC) and become popular during the last years. In fact, FC can be used to describe in a solid and compact form systems characterized by long-range temporal or spatial dependence phenomena. Furthermore, the extension of classical and modern control theories to the new perspective, allows the development of algorithms applicable both integer and non-integer order systemsinfo:eu-repo/semantics/publishedVersio
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