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Pinning control of diagonalizable fractional-order chaotic network is investigated. Based on the stability theory of fractional system, combining with the method of eigenvalue analysis, stable regions and the control strategies are obtained. Finally, numerical simulations are used to verify the proposed approach.
Adaptive control technique is adopted to synchronize two identical non-autonomous systems with unknown parameters in finite time. A virtual unknown parameter is introduced in order to avoid the unknown parameters from appearing in the controllers and parameters update laws. The Duffing equation and a gyrostat system are chosen as the numerical examples to show the validity of the present method.
An adaptive method is proposed to synchronize two different systems with unknown parameters and disturbance. Base on Lyapunov stability theory, an adaptive controller and parameters update laws are designed to synchronize two different chaotic systems even though the bounds on disturbance and parameters are unknown. Numerical simulation results verify the effectiveness of the method.
A sinusoidal feedback control is used to synchronize two coupling chaotic fly-ball systems. Some sufficient synchronization criteria in the form of a few algebraic inequalities are obtained by the Lyapunov direct method and Gerschgorin disc theorem. The property that similar matrices have the same eigenvalues is applied to get more flexible criteria. Numerical simulations are given to support our...
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