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In this paper, we propose an adaptive scheme for the stabilization and synchronization of chaotic Lur'e systems with time-varying delay. Based on the invariant principle of functional differential equations, the strength of the feedback controller is enhanced adaptively to stabilize and synchronize chaotic Lur'e systems. The derivative-constraint that the time-varying delay is required to be differentiable...
In this paper, we firstly proposed a general complex dynamical network consisting of N nonlinearly coupled identical neural networks with coupling delays. Many studied coupled systems are special cases of this model. Synchronization in such dynamical network is studied. By using the Lyapunov stability theorem, some simple controllers with updated feedback strength are introduced in to make the network...
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