Valério, DuarteMachado, J. A. Tenreiro2015-01-282015-01-2820141007-5704http://hdl.handle.net/10400.22/5492Recently simple limiting functions establishing upper and lower bounds on the Mittag-Leffler function were found. This paper follows those expressions to design an efficient algorithm for the approximate calculation of expressions usual in fractional-order control systems. The numerical experiments demonstrate the superior efficiency of the proposed method.engMittag-Leffler functionFractional CalculusFractional controljournal article10.1016/j.cnsns.2014.03.014