Impulsive Synchronization of Generalized Lorenz Systems

The generalized Lorenz system contains a class of three-dimensional autonomous quadratic chaotic systems, including Lorenz systems, Chen systems, Lu¿ systems, unified chaotic systems and some other chaotic systems. In this paper, the impulsive synchronization of two generalized Lorenz systems is studied. By exploring the structure knowledge of the system, sufficient conditions are derived. In addition, by converting the process of determining the upper bound of impulsive interval into an optimization problem, some less conservative conditions than the existing results are obtained. Simulation results also verify the effectiveness of the proposed control schemes.