Further results on applications of fractional calculus in nonlinear dynamics -stability and control issues

Abstract

In this paper, they are presented recently obtained results which are related to applications of fractional calculus in dynamics- specially stability and control issues. First, we propose sufficient conditions for finite time stability for the (non)homogeneous fractional order systems with time delay. Specially, the problem of finite time stability with respect to some of the variables (partial stability) is considered.Second, it is suggested a robust fractional-order sliding mode control of a 3-DOF`s robot system driven by DC motors.Last, this paper addresses the problem of iterative learning control (ILC) for fractional (non)linear time delay system.