ℒ1adaptive controller design for a class of fractional order uncertain systems

Taming chaos in generalized Liénard systems by the fractional-order feedback based on Melnikov analysis

“…Aghababa [24] presented a novel FO sliding mode method to stabilize and synchronize for a class of FO chaotic systems. Boulham et al [25] constructed an L 1 adaptive controller to control FO systems with uncertainties and external disturbances. For more advances about FO control theory and application, one can refer to literatures [26][27][28].…”

“…For more advances about FO control theory and application, one can refer to literatures [26][27][28]. Significantly, research demonstrates that fractional calculus has high potential to improve control performance since designers have more flexibility in selecting parameters of FO controllers in comparison with IO controllers [20][21][22][23][24][25][26][27][28].…”

Guaranteed cost robust output feedback control design for fractional-order uncertain neutral delay systems

“…some efficient applications of the FO models are electro-mechanical systems [25][26][27], physics [28][29][30], image processing [31], and biology [32,33]. However, FO models demand for more intricate mathematical treatment, resulting in more a complicated stabilization study than their integer-order counterparts [34][35][36][37][38]. Authors in [39] investigated the GCC of FO delayed NNs systems, while later in [40,41] GCC schemes based on state feedback were developed for linear time-delayed FO systems.…”