Abstract
This work is concerned with anti-synchronization of Liu system and Lorenz system. Based on Lyapunov stability theory, different controllers are designed to anti-synchronize the two non-identical chaotic systems, active control is used when parameters are known, while the adaptive control law and the parameter update rule are derived via adaptive control when parameters are uncertain. Moreover, the convergence speeds of the scheme can be adjusted by changing the control coefficients. Finally, numerical simulations are also shown to verify the results.
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Wang, ZL., Shi, XR. Anti-synchronization of Liu system and Lorenz system with known or unknown parameters. Nonlinear Dyn 57, 425–430 (2009). https://doi.org/10.1007/s11071-008-9452-1
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DOI: https://doi.org/10.1007/s11071-008-9452-1