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This study investigates the practical synchronisation of networked Lagrangian systems with a directed graph by pinning adaptive control. Some simple yet general algebraic criteria are proposed based on practical stability theory on dynamical systems, and the proposed criteria ensure that all the robotic agents described by Lagrangian dynamics can achieve desired practical synchronisation. The main...
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 new method of virtual unknown parameter is proposed to synchronize two different systems with unknown parameters and disturbance in finite time. The information signal hidden in chaotic signal is transmitted and can be successfully recovered at the receiver once synchronization is achieved. Numerical simulations show that the present method is effective.
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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