不连续三状态反馈实现<i>n</i>维线性系统混沌反控制

不连续三状态反馈实现n维线性系统混沌反控制

基金项目:

北京科技大学科研基金资助项目(No.00009010)

国家自然科学基金资助项目(No.70271068)

详细信息

Applied Science School, University of Science and Technology Beijing, Beijing 100083, China

摘要: 为拓展混沌控制与混沌同步在保密通信等领域方面的应用,通过对一类n维不稳定线性系统添加非连续状态反馈控制项,实现了不连续三状态线性反馈系统混沌反控制,并对这一类高维耦合混沌系统的动力学性质进行了理论分析,给出了定理和证明.然后分别给出了具有特殊形式的系统和一般系统的例子,计算机数值模拟及计算Lyapunov指数验证这样构造的高维系统确实存在混沌.
- 线性微分系统 /
- 混沌反控制 /
- 非连续 /
- 耦合系统
Abstract: To expand the application of chaos control and synchronization in the field ot secure commumcation, anti-control of chaos for three-state discontinuous linear feedback systems was achieved by adding a feedback control item under discontinuous state to a kind of n-dimensional unstable linear systems, the basic dynamical behaviors of the chaotic control systems were investigated in detail, and some theorems were given. Numerical simulation and calculating all Lyapunov exponents verify their chaos.
- linear differential system /
- anti-control of chaos /
- discrete /
- coupling system