An Introduction to Fractional Control

By Duarte Valério, J. Costa. 2012

178 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/3acfbc3b1f8c8bf51366ee7464a861fbb279acbd

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In Control and Systems Engineering

In Modeling and Simulation

Citations in the corpus

Fractional calculus: A survey of useful formulas (2013, background): “– To find more information on the topic consider in the section consult, for instance, [14–18] and the references included in it.”
Fractional Calculus: Quo Vadimus? (Where are we Going?) (2015, result): “We have taken the present occasion, as a compliment to our previous survey [107], to cite books published during the years 2011 [92, 80, 44, 26, 65, 47, 5, 106, 117], 2012 [7, 3, 77, 1, 51, 38, 102, 56, 122, 15, 112, 110, 118], 2013 [14, 18, 89, 29, 36], and 2014 [57, 4, 121, 39, 105, 40, 66, 86, 2,”
Science metrics on fractional calculus development since 1966 (2013, background): “Figure 2 (left) depicts the evolution of Da [19, 12, 56, 75, 57, 99, 60, 87, 100, 100, 77, 68, 85, 95, 69, 70, 71, 72, 78, 23, 102, 13, 96, 64, 114, 36, 79, 73, 91, 63, 84, 80, 105, 109, 4, 111, 82, 22, 27, 28, 110, 81, 67, 32, 29, 86, 52, 33, 117, 106, 55, 58, 112, 113, 108, 6, 15, 2, 41, 59, 10, 4”
Some pioneers of the applications of fractional calculus (2013, background): “a curve y(x) such that a mass m at rest on any of its points will always take the same time T to slide down without friction till reaching the final point (x, y) = (0, 0), irrespective of the initial height h at which it begins to move because of the acceleration of gravity g, [19, 20, 6].”
Fractional calculus in economic growth modelling: the Spanish and Portuguese cases (2015, background): “Because fractional operators are non-local, they are suitable for constructing models for long series, possessing a memory effect—more so than models using integer derivatives and integrals alone [1].”