Anti-control of chaos for a kind of n-dimensional linear differential system by three-state discontinuous feedback
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摘要: 為拓展混沌控制與混沌同步在保密通信等領域方面的應用,通過對一類n維不穩定線性系統添加非連續狀態反饋控制項,實現了不連續三狀態線性反饋系統混沌反控制,并對這一類高維耦合混沌系統的動力學性質進行了理論分析,給出了定理和證明.然后分別給出了具有特殊形式的系統和一般系統的例子,計算機數值模擬及計算Lyapunov指數驗證這樣構造的高維系統確實存在混沌.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.
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Key words:
- linear differential system /
- anti-control of chaos /
- discrete /
- coupling system
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