Machado, J. A. Tenreiro2014-03-272014-03-2720100924-090X1573-269Xhttp://hdl.handle.net/10400.22/4262This study addresses the optimization of fractional algorithms for the discrete-time control of linear and non-linear systems. The paper starts by analyzing the fundamentals of fractional control systems and genetic algorithms. In a second phase the paper evaluates the problem in an optimization perspective. The results demonstrate the feasibility of the evolutionary strategy and the adaptability to distinct types of systems.engFractional derivativesFractional calculusOptimizationGenetic algorithmsjournal article10.1007/s11071-010-9731-5