Abstract:

Based on Lyapunov stability theory and the adaptive control method, the adaptive controllers with corresponding parameter adaptive laws were designed for a class of delayed chaotic systems. The theory result  proves that the designed controllers and adaptive law could achieve the anti-synchronization of delayed chaotic systems with uncertain parameters,   identifying the uncertain parameters. Numerical simulations show that the method are correctness and effectiveness of the proposed method. Furthermore, we also analyzed the effect of control modulator  Ω.

Key words: delayed chaotic system, anti\, synchronization, adaptive control method, uncertain parameters