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Feedback control and hybrid projective synchronization of a fractional-order Newton-Leipnik system. (English) Zbl 1248.93074
Summary: In this work, stability analysis of the fractional-order Newton-Leipnik system is studied by using the fractional Routh-Hurwitz criteria. The fractional Routh-Hurwitz conditions are used to control chaos in the proposed fractional-order system to its equilibria. Based on the fractional Routh-Hurwitz conditions and using specific choice of linear feedback controllers, it is shown that the Newton-Leipnik system is controlled to its equilibrium points. Moreover, the theoretical basis of hybrid projective synchronization of commensurate and incommensurate fractional-order Newton-Leipnik systems is investigated. Based on the stability theorems of fractional-order systems, the controllers for hybrid projective synchronization are derived. Numerical results show the effectiveness of the theoretical analysis.
MSC:
93B52Feedback control
34H10Chaos control (ODE)
34D06Synchronization
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