| The nature of the world is non-linear; chaos is outstanding in nonlinear science. The research of chaos theory has been developed greatly in1970s and1980s. Since the1990s, on the basis of chaos theory research, the researchers began to focus on the research of chaos control and utilization. The research of chaotic system and corresponding chaos synchronization not only have important theoretical significance, but also application values.It studies several control of chaotic system in this thesis, including the stabilization of chaotic system, finite time stabilization of chaotic system, synchronization of chaotic system, finite time synchronization of chaotic system, anti-synchronization of chaotic system, finite time anti-synchronization of chaotic system, respectively.Chapter1introduces the present status of control problems of chaotic system reserach.Chapter2investigates stabilization and finite time stabilization problems of chaotic system. By the Lyapunov stability theorem, new controllers have been obtained through the above problems. Compared with the previous results, the results are more simple. Numerical simulations verified the effectiveness, correctness of the results above.Chapter3investigates synchronization and finite time synchronization problems of chaotic system. By the Lyapunov stability theorem, new controllers have been obtained through the above problems. Compared with the previous results, the results are more simple. Numerical simulations verified the effectiveness, correctness of the results above.Chapter4investigates anti-synchronization and finite time anti-synchronization problems of chaotic system. By the Lyapunov stability theorem, new controllers have been obtained through the above problems. Compared with the previous results, the results are more simple. Numerical simulations verify the effectiveness, correctness of the results above. |
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