Chaos control and function projective synchronization of fractional-order systems through the backstepping method

2016 ◽  
Vol 189 (1) ◽  
pp. 1430-1439 ◽  
Author(s):  
S. Das ◽  
V. K. Yadav
Keyword(s):  
Fractional Order ◽  
Chaos Control ◽  
Projective Synchronization ◽  
Fractional Order Systems ◽  
Backstepping Method ◽  
Function Projective Synchronization ◽  
And Function

A General Method to Study the Co-Existence of Different Hybrid Synchronizations in Fractional-Order Chaotic Systems

2019 ◽  
Vol 20 (3-4) ◽  
pp. 351-359
Author(s):  
Adel Ouannas ◽  
Samir Bendoukha ◽  
Abdulrahman Karouma ◽  
Salem Abdelmalek
Keyword(s):  
Fractional Order ◽  
Stability Theory ◽  
Projective Synchronization ◽  
The Novel ◽  
Fractional Order Systems ◽  
Function Projective Synchronization ◽  
Novel Approach ◽  
Full State ◽  
Hybrid Function ◽  
New Type

AbstractReferring to incommensurate fractional-order systems, this paper proposes a new type of chaos synchronization by combining full state hybrid function projective synchronization (FSHFPS) and inverse full state hybrid function projective synchronization (IFSHFPS). In particular, based on stability theory of linear integer-order systems and stability theory of linear fractional-order systems, the co-existence of FSHFPS and IFSHFPS between incommensurate fractional chaotic (hyperchaotic) systems is proved. To illustrate the capabilities of the novel approach proposed herein, numerical and simulation results are given.

scholarly journals Modified Function Projective Synchronization between Different Dimension Fractional-Order Chaotic Systems

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Ping Zhou ◽  
Rui Ding
Keyword(s):  
Numerical Simulations ◽  
Fractional Order ◽  
Stability Theory ◽  
Chaotic Systems ◽  
Projective Synchronization ◽  
Fractional Order Systems ◽  
Fractional Order Derivative ◽  
Function Projective Synchronization ◽  
Modified Function Projective Synchronization ◽  
Synchronization Scheme

A modified function projective synchronization (MFPS) scheme for different dimension fractional-order chaotic systems is presented via fractional order derivative. The synchronization scheme, based on stability theory of nonlinear fractional-order systems, is theoretically rigorous. The numerical simulations demonstrate the validity and feasibility of the proposed method.

scholarly journals Analysis and modified function projective synchronization of integer and fractional-order autonomous Morse jerk oscillator

2021 ◽  
Vol 5 (2) ◽  
pp. 275-280
Author(s):  
Dongmo ERİC DONALD ◽  
Cyrille AİNAMON ◽  
Alex Stéphane KEMNANG TSAFACK ◽  
Nasr SAEED ◽  
Victor KAMDOUM ◽  
...  
Keyword(s):  
Fractional Order ◽  
Projective Synchronization ◽  
Function Projective Synchronization ◽  
Modified Function Projective Synchronization

Hybrid Projective Synchronization for the Fractional-Order Chen-Lee System and its Circuit Realization

2013 ◽  
Vol 300-301 ◽  
pp. 1573-1578
Author(s):  
Seng Kin Lao ◽  
Hsien Keng Chen ◽  
Lap Mou Tam ◽  
Long Jye Sheu
Keyword(s):  
Fractional Order ◽  
Chaotic Systems ◽  
Body Motion ◽  
Projective Synchronization ◽  
Fractional Order Systems ◽  
Control Of Chaos ◽  
Circuit Realization ◽  
Hybrid Projective Synchronization ◽  
The Time Domain ◽  
Theoretical Analyses

The growing interest shows the importance of the control of chaos in fractional-order systems in recent years. This paper investigates in the hybrid projective synchronization of two chaotic systems with fractional-order, which were derived from Euler equations of rigid body motion. Theoretical analyses of the proposed methods are validated by numerical simulation in the time domain. Moreover, the synchronization system is realized using electronic circuits with fractance in the frequency domain.

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