不同阶混沌系统广义混合错位函数投影同步及在保密通信中的应用  

Generalized hybrid dislocated function projective synchronization between different-order chaotic systems and its application to secure communication

作　　者：李睿[1] 张广军[1,2] 朱涛[1] 王相波[1] 王珏[2] 

机构地区：[1]空军工程大学理学院,西安710051 [2]西安交通大学生命科学与技术学院,西安710049

出　　处：《计算机应用》2014年第7期1915-1918,1959,共5页journal of Computer Applications

基　　金：国家自然科学基金资助项目(10872156);航空基金资助项目(20111396011)

摘　　要：为进一步提高保密通信的安全性,应用Lyapunov稳定性理论以及自适应控制方法,在广义混合错位投影同步与函数投影同步的基础上提出了广义混合错位函数投影同步(GHDFPS),给出了不同阶参数不确定混沌系统的广义混合错位函数投影同步与参数辨识的控制方法,并研究该同步类型在保密通信中的应用。通过严格的数学证明和数值仿真,不同阶参数不确定混沌系统实现了广义混合错位函数投影同步,辨识出了不确定参数。由于广义混合错位函数投影同步中的函数比例因子矩阵的多样性,使该同步类型应用在保密通信中更具有安全性;同时,将此同步类型和实现该同步的控制方法用于混沌掩饰调制保密通信中,将能解调出多个信号,并能检验信号的真实性。In order to improve the security of secure communication, a new Generalized Hybrid Dislocated Function Projective Synchronization （GHDFPS） based on generalized hybrid dislocated projective synchronization and function projective synchronization was researched by Lyapunov stability theory and adaptive active control method. At the same time, the control methods of GHDFPS between two different-order chaotic systems with uncertain parameter and parameter identification were presented, and the application of the novel synchronization on secure communication was analyzed. By strict mathematical proof and numerical simulation, the GHDFPS between two different-order chaotic systems with uncertain parameter were achieved, the uncertain parameter was identified. Because of the variety of function sealing factor matrix, the security of secure communication has been increased by GHDFPS. Moreover, this synchronization form and method of control were applied to secure communication via chaotic masking modulation. Many information signals can be recovered and validated.

关 键 词：混沌系统 自适应 比例因子 保密通信 广义混合错位投影同步 函数投影同步 

分 类 号：TP273.2[自动化与计算机技术—检测技术与自动化装置]