Adaptive Predefined-Time Synchronization of Two Different Fractional-Order Chaotic Systems With Time-Delay

This paper devotes to the adaptive globally synchronization within predefined-time of two time-delayed fractional-order chaotic systems. Firstly, through fractional calculus, two novel different fractional-order systems with time-delay are proposed, whose convergence is guaranteed and phase trajecto...

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Published inIEEE access Vol. 9; pp. 31908 - 31920
Main Authors Lin, Lixiong, Wang, Qing, He, Bingwei, Chen, Yanjie, Peng, Xiafu, Mei, Ruilin
Format Journal Article
LanguageEnglish
Published IEEE 2021
Subjects
Adaptive controller
Chaotic communication
Convergence
fixed-time synchronization
Fractional calculus
nonlinear fractional-order systems
Numerical stability
predefined-time synchronization
Stability criteria
Synchronization
Upper bound
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Abstract This paper devotes to the adaptive globally synchronization within predefined-time of two time-delayed fractional-order chaotic systems. Firstly, through fractional calculus, two novel different fractional-order systems with time-delay are proposed, whose convergence is guaranteed and phase trajectory is given. Secondly, by exploiting the non-negative Lyapunov function and inequality theorem, a novel global predefined-time stability theorem is proposed, which can ensure the settling time tunable. And the upper bound of the settling time estimation is more accurate compared with the classical results. With the help of novel predefined-time stability theorem, two active controllers are designed, namely the fixed-time synchronization controller and predefined-time synchronization controller, to achieve the fixed-time synchronization and the predefined-time synchronization of two different time-delayed fractional-order chaotic systems respectively. Finally, several numerical simulations are presented in order to show the effectiveness of the proposed methods.
AbstractList This paper devotes to the adaptive globally synchronization within predefined-time of two time-delayed fractional-order chaotic systems. Firstly, through fractional calculus, two novel different fractional-order systems with time-delay are proposed, whose convergence is guaranteed and phase trajectory is given. Secondly, by exploiting the non-negative Lyapunov function and inequality theorem, a novel global predefined-time stability theorem is proposed, which can ensure the settling time tunable. And the upper bound of the settling time estimation is more accurate compared with the classical results. With the help of novel predefined-time stability theorem, two active controllers are designed, namely the fixed-time synchronization controller and predefined-time synchronization controller, to achieve the fixed-time synchronization and the predefined-time synchronization of two different time-delayed fractional-order chaotic systems respectively. Finally, several numerical simulations are presented in order to show the effectiveness of the proposed methods.
Author Lin, Lixiong
He, Bingwei
Peng, Xiafu
Wang, Qing
Chen, Yanjie
Mei, Ruilin
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Snippet This paper devotes to the adaptive globally synchronization within predefined-time of two time-delayed fractional-order chaotic systems. Firstly, through...
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StartPage 31908
SubjectTerms Adaptive controller
Chaotic communication
Convergence
fixed-time synchronization
Fractional calculus
nonlinear fractional-order systems
Numerical stability
predefined-time synchronization
Stability criteria
Synchronization
Upper bound
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Title Adaptive Predefined-Time Synchronization of Two Different Fractional-Order Chaotic Systems With Time-Delay
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