A hybrid projective synchronization scheme for two identical fractional-order chaotic systems is proposed in this paper. Based on the stability theory of fractional-order systems, a controller for the synchronization of two identical fractional-order chaotic systems is designed. This synchronization scheme needs not to absorb all the nonlinear terms of response system. Hybrid projective synchro...

In this paper, a fractional order universal high gain adaptive stabilizer is proposed which guarantees the Lp stability of fractional order multiple–input and multiple–output (MIMO) systems with finite control effort. The boundedness of the control gain for the fractional order universal adaptive strategy is discussed for fractional order MIMO systems, and an upper bound of the control gain is ...

This article solves the finite-time bounded tracking control problem for fractional-order systems. Firstly, by taking fractional derivative on state equations and error signals, a system is constructed, signal taken as output vector of system. Secondly, feedback controller introduced into system, disturbance signals desired are combined Thus, original converted input-output finite time stabilit...

The paper discusses several control techniques for a class of systems described by fractional order equations. presents the unit frequency criteria that ensure closed loop for: Fractional Order Linear Systems, Systems with nonlinear components, Time Delay components. stability criterion is proposed composed subsystems. These are used in two applications: Soft Exoskeleton Glove Control, studied ...

In this paper, we discuss the tracking control problem for fractional order descriptor systems. The aim of paper is to find optimal control-state pair satisfying dynamic constraint form a system such that performance index minimized. method solving convert into standard system. Under some particular conditions, explicit formulas which minimize index.