Robust Stabilization of A Class of Three-Dimensional Uncertainfractional-Order Non-Autonomous Systems

This paper concerns the problem of robust stabilization of uncertain fractional-order non-autonomoussystems. in this regard, a single input active control approach is proposed for control and stabilizationof three-dimensional uncertain fractional-order systems. the robust controller is designed on the basisof fractional lyapunov stability theory. furthermore, the eects of model uncertainties are fully takeninto account. also, the robust stability and access to the equilibrium point of the control scheme areanalytically proved. moreover, fast response and easy realization in real world applications are somespecial features of the suggested method. finally, as a numerical simulation, control and stabilizationof three-dimensional uncertain fractional-order chen system is provided to illustrate the usefulnessand applicability of the proposed approach in practice. it is worth to notice that the proposedactive control approach can be employed for robust stabilization of a large class of three-dimensionaluncertain nonlinear fractional-order non autonomous dynamical systems.