Linear control of fractional-order financial chaotic systems with input saturation (Q2321503)

Summary: In this paper, control of fractional-order financial chaotic systems with saturated control input is investigated by means of state-feedback control method. The saturation problem is tackled by using Gronwall-Bellman lemma and a memoryless nonlinearity function. Based on Gronwall inequality and Laplace transform technique, two sufficient conditions are achieved for the asymptotical stability of the fractional-order financial chaotic systems with fractional orders \(0 < \alpha\leq 1\) and \(1 < \alpha < 2\), respectively. Finally, simulation studies are carried out to show the effectiveness of the proposed linear control method.