摘要
针对一类新的T混沌系统,运用非线性系统理论和Routh-Hurwitz定理对系统平衡点的稳定性作了研究,并讨论了在参数已知和未知两种情形下的混沌同步问题。利用Lyapunov稳定性理论,结合主动控制思想,设计了两个非线性反馈控制器,在理论上证明了同步方法的有效性,得到了相关定理。对混沌系统的多个状态量和信息信号进行叠加,将同步方法应用到保密通信中,设计了一种混沌掩盖保密通信系统。仿真结果表明,所提控制器能够实现混沌系统同步,并在混沌掩盖保密通信中将信息信号有效地在接收端恢复出来。
The stability of the equilibrium points of a new T chaotic system are studied using the nonlinear system theory and Routh-Hurwitz theorem, and the synchronization problem for this system with known or unknown parameters is discussed. Two nonlinear Feedback controllers of the system are designed and are proved using the method of Lyapunov stability theory and active control technology, the corresponding theorems are obtained. Then, a system of chaotic secure communication is suggested and the synchronized techniques are applied to chaotic secure communication by injecting information signal into multi-states of the chaotic system. The simulation results show that, the method realizes synchronization of the chaotic system easily, and the information signal can be recovered from the receiver effectively in the secure communication based on chaotic masking.
出处
《计算机工程与设计》
CSCD
北大核心
2011年第11期3664-3667,3672,共5页
Computer Engineering and Design
基金
国家自然科学基金项目(NSFC10971164)
西京学院科研基金项目(100106)
