NEW APPROACH TO SYNCHRONIZATION OF TWO DIFFERENT FRACTIONAL-ORDER CHAOTIC SYSTEMS

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Behinfaraz Reza; BADAMCHIZADEH MOHAMMAD ALI

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Seminar Paper

Paper Information

Seminar: INTERNATIONAL SYMPOSIUM ON ARTIFICIAL INTELLIGENCE AND SIGNAL PROCESSING (AISP)
Year:2015 | Issue:1

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Title

NEW APPROACH TO SYNCHRONIZATION OF TWO DIFFERENT FRACTIONAL-ORDER CHAOTIC SYSTEMS

Author(s)

Behinfaraz Reza | BADAMCHIZADEH MOHAMMAD ALI | Issue Writer Certificate

Keywords

FRACTIONAL-ORDER CHAOTIC SYSTEM

LAPLACE TRANSFORM

ACTIVE CONTROL

Abstract

THIS PAPER INVESTIGATES THE SYNCHRONIZATION OF TWO DIFFERENT FRACTIONAL-ORDER CHAOTIC SYSTEMS. BASED ON SOME PROPERTIES ON FRACTIONAL CALCULUS AND THE STABILITY THEOREM OF FRACTIONAL-ORDER SYSTEMS, WE PROPOSE A NEW METHOD TO ACHIEVE THE SYNCHRONIZATION IN SUCH CASES. THE ANALYTICAL CONDITIONS FOR SYNCHRONIZATION OF THESE DIFFERENT FRACTIONAL-ORDER SYSTEMS ARE DERIVED BY UTILIZING LAPLACE TRANSFORM. THE FRACTIONAL OPERATORS ARE INTRODUCED INTO THE CONTROLLER TO TRANSFORM PROBLEM OF SYNCHRONIZATION OF DIFFERENT FRACTIONAL-ORDER CHAOTIC SYSTEMS INTO SYNCHRONIZATION BETWEEN FRACTIONAL-ORDER CHAOTIC SYSTEMS WITH IDENTICAL ORDERS, AND NONLINEAR FEEDBACK CONTROL IS PROPOSED BASED ON THE CONCEPT OF ACTIVE CONTROL TECHNIQUE. WE PRESENT AN EXAMPLE THAT ILLUSTRATE THE EFFECTIVENESS AND APPLICATION OF PROPOSED METHOD.

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APA: Copy

Behinfaraz, Reza, & BADAMCHIZADEH, MOHAMMAD ALI. (2015). NEW APPROACH TO SYNCHRONIZATION OF TWO DIFFERENT FRACTIONAL-ORDER CHAOTIC SYSTEMS. INTERNATIONAL SYMPOSIUM ON ARTIFICIAL INTELLIGENCE AND SIGNAL PROCESSING (AISP). SID. https://sid.ir/paper/927468/en

Vancouver: Copy

Behinfaraz Reza, BADAMCHIZADEH MOHAMMAD ALI. NEW APPROACH TO SYNCHRONIZATION OF TWO DIFFERENT FRACTIONAL-ORDER CHAOTIC SYSTEMS. 2015. Available from: https://sid.ir/paper/927468/en

IEEE: Copy

Reza Behinfaraz, and MOHAMMAD ALI BADAMCHIZADEH, “NEW APPROACH TO SYNCHRONIZATION OF TWO DIFFERENT FRACTIONAL-ORDER CHAOTIC SYSTEMS,” presented at the INTERNATIONAL SYMPOSIUM ON ARTIFICIAL INTELLIGENCE AND SIGNAL PROCESSING (AISP). 2015, [Online]. Available: https://sid.ir/paper/927468/en

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