混沌Lurie系统同步在保密通信中的应用

鉴于Lurie系统在工程中的普遍性,研究了混沌Lurie系统同步在保密通信中的应用.以Lyapunov稳定性理论为基础,通过求解一个Riccati方程,给出同步控制律,并将其应用于通过混沌掩盖实现保密通信的驱动一响应系统.仿真表明,即使传输幅度较大的信息信号,混沌Lurie系统也能对其实现较好的掩盖,驱动一响应系统能够迅速同步,并且同步过程没有超调或振荡.

Application of synchronization of chaotic Lurie systems to secret communication

With regard to the universality of Lurie systems in the engineering problems, an analysis was made of the application of the synchronization of chaotic Lurie systems to secret communication. Based on Lyapunov stabilization theory, solving a Riccati equation could result in a synchronal control quantity, which was then applied to the driving-responding systems of secret communication with chaotic masking. The simulations show that chaotic Lurie system well masks the information signal, even though its amplitude is not small. The driving-responding systems can fulfill the rapid synchronization without overshoot or vibration.