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α-Exponential stabilization of fractional-order chaotic system by controlling partial states
2016 Edition, November 1, 2016 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

In our paper, the issue on linear feedback and adaptive control for a - exponential stabilization of fractional-order chaotic system by controlling partial states is researched. Several sufficient conditions are...

Fractional - order chaotic systems
2009 Edition, September 1, 2009 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

This contribution deals with the fractional-order chaotic systems. A survey of the chaotic systems, where total order of the system is less than 3 is presented. With using a fractional derivative a chaos can be observed in...

Fractional order chaotic systems: A survey
2017 Edition, May 1, 2017 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

This paper discusses implementation of several fractional-order chaotic systems on different non-linear systems. Recently, the chaotic dynamic techniques such as chaos control and chaos synchronization have gained the attention of...

Control of Fractional Order Chaotic Systems
2008 Edition, September 1, 2008 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

It is well known that the fractional order systems are difficult to be dealed with and the fractional order chaotic systems are more difficult to be controlled. Based on linear transfer function approximation of the fractional...

Synchronization between different fractional order chaotic systems
2008 Edition, June 1, 2008 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

A chaotic synchronization method of different fractional order chaotic systems is established, and the mathematical proof of this synchronization method is provided. The feedback controller is obtained theoretically. Theoretical analysis and...

Switched active control synchronization of three fractional order chaotic systems
2016 Edition, June 1, 2016 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

This paper discusses the continuous effect of fractional order parameter on two chaotic systems. Switched synchronization of three different fractional order chaotic systems is presented as an extension for synchronizing two...

A new closed-loop controller for fractional order chaotic systems
2011 Edition, Volume 1, July 1, 2011 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

The paper presents a new closed-loop controller to stabilize a kind of fractional order chaotic system to an equilibrium point. The proposed controller has simple structure and only two tuning parameters, and is designed easily. The proposed controller can...

Synchronizing fractional order chaotic systems with an integer order observer
2011 Edition, March 1, 2011 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

In this paper we present an observer based synchronization method to synchronize chaotic systems with unknown linearity and fractional order chaotic systems. Our method consists in designing a Luenberger like observer appended with an estimator of...

Modified generalized projective synchronization of incommensurate fractional order chaotic systems
2012 Edition, July 1, 2012 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

This paper investigates the modified generalized projective synchronization of incommensurate fractional order chaotic systems. Based on the stability theory of linear fractional order incommensurate systems and the pole placement...

A new fractional-order chaotic system and its synchronization control
2009 Edition, December 1, 2009 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

A new fractional-order chaotic system, fractional-order Lorenz-Stenflo (LS) system, is found in this paper. Chaos can exist in the fractional-order LS system with order as low as 3.6. The chaotic dynamics of...

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