scholarly journals A new hyperchaotic system and its adaptive tracking control

2012 ◽  
Vol 61 (4) ◽  
pp. 040504
Author(s):  
Li Chun-Lai ◽  
Yu Si-Min
Keyword(s):  
Tracking Control ◽  
Hyperchaotic System ◽  
Adaptive Tracking Control ◽  
Adaptive Tracking ◽  
New Hyperchaotic System

scholarly journals A New Fractional-Order Hyperchaotic System and Its Adaptive Tracking Control

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Yinlan Chen ◽  
Haodong Zhang ◽  
Xu Kong
Keyword(s):  
Fractional Order ◽  
Tracking Control ◽  
Dynamical Behavior ◽  
Order System ◽  
Periodic Signal ◽  
Heterogeneous Structure ◽  
Hyperchaotic System ◽  
Adaptive Tracking Control ◽  
Adaptive Tracking ◽  
Adaptive Control Strategy

We construct for the first time a fractional-order hyperchaotic system via the original integer-order system. The dynamical behavior of this fractional-order hyperchaotic system is investigated in detail using first approximation method and Lyapunov exponents. Next, an adaptive control strategy for the univariate controlled hyperchaotic system has been proposed. Also, the tracking performance is fully taken into account in numerous applications, for instance, tracking sinusoidal periodic signal, self-synchronization, and generalized synchronization of heterogeneous structure. Simulation results illustrate the validity and performability of the proposed adaptive tracking control scheme.

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