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A new synchronization control scheme is proposed for Lorenz system. In order to obtain global stability, a state-depended dynamical error equation for the coupled systems is addressed. The control problem is converted into matrix inequalities by choosing proper control parameters. Additional optimization is given to reduce control parameters. Finally, the control problem is numerically solved by BMI...
This paper treats the globally exponential synchronization problem of a new Lorenz-like chaotic systems. Based on Lyapunov stability theory and some inequalities techniques, two control approaches, namely both linear feedback control with one state feedback and one input or with one state feedback and two inputs and nonlinear feedback control with two inputs, are proposed to realize the globally exponential...
A new fractional-order chaotic system, fractional-order Lorenz-Stenflo (LS) system, is found in this paper. Chaos can exist in the fractional-order LS system with order as low as 3.6. The chaotic dynamics of this system is investigated. Then based on Laplace transformation theory, the controller of complete synchronization is designed for this system. Moreover using stability theory of linear fractional-order...
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