School of Electrical and Computer Engineering, Shiraz University, Shiraz, Iran.
Chaos. 2012 Jun;22(2):023145. doi: 10.1063/1.4729140.
In this letter, a simple adaptive output-feedback controller is designed for lag-synchronization of two multiple time-delayed chaotic systems in the presence of uncertainty, external disturbances, and input nonlinearity. Based on Lyapunov stability theorem and adaptive techniques, sufficient conditions for lag-synchronization of these two systems are achieved. To deal with the existence of unknown time-delays in the system dynamics, the novel Lyapunov-Krasovskii functionals are used. Finally, a numerical simulation is presented to show the effectiveness of the proposed chaos lag-synchronization scheme.
在这封信中，设计了一种简单的自适应输出反馈控制器，用于在存在不确定性、外部干扰和输入非线性的情况下对两个具有时滞的混沌系统进行滞后同步。基于李雅普诺夫稳定性定理和自适应技术，实现了这两个系统滞后同步的充分条件。为了解决系统动态中未知时滞的存在问题，采用了新颖的李雅普诺夫-克拉索夫斯基泛函。最后，通过数值模拟验证了所提出的混沌滞后同步方案的有效性。
