| Chaotic synchronization, as an important issue of nonlinear science, has found a wide range of applications, such as encryption and secure communication, chemical reactions and information processing. The problems of chaos control and synchronization have been studied from different points of view, and a lot of synchronization methods have been proposed. Based on chaos synchronization control theory and the qualities about low dimensional systems, synchronization of high dimensional systems, that is, complex dynamical networks have attracted much attention from various fields of science and engineering. This thesis concerns with the problem of synchronization in chaos and complex dynamical networks via intermittent feedback control.The main work includes:First, the master-slave exponential synchronization analysis for a class of general Lur'e systems using delayed intermittent control has been investigated. Different from the previous methods based on the differential inequality technique, the Lyapunov-Razumikhin stability theory is adopted to derive some new delay-independent synchronization criteria. No transcendental equation is involved in the obtained result, and the restriction that the time delay has to be smaller than the control width is removed. Therefore, the result is computationally efficient and the application scope is enlarged.Second, we deal with the exponential synchronization problem of coupled chaotic systems with time delay via periodically intermittent feedback control, and the synchronization criterion is delay–dependent by means of model transformation to reduce the conservativeness. The obtained result is expressed in terms of matrix inequalities.Finally, the problem of chaos synchronization for a class of complex dynamical networks with non-delayed and delayed coupling is considered. For the given convergence rate, the control gain can be simply calculated. This approach is very easy to understand, but the result is conservative to some extent. |
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