摘要
通过用分段线性符号函数替换统一混沌系统中部分二次项,得到一个新分段连续的自治系统(称为统一混沌系统修改模型).对该系统性质做定性分析,验证其动力学性态为混沌,运用反馈控制和自适应控制方法,证明两个统一混沌系统的修改模型为同步,数值模拟计算验证了所提同步设计的正确性.
A new simplified three-dimensional piecewise continuous autonomous system （ a modified model of unified chaotic system） was introduced by replacing a quadratic nonlinear term in a unified chaotic system with a piecewise linear signum function. The qualitative properties of this modified model were studied to substantiate that it is a chaotic system. Two kinds of nonlinear controllers were designed to theoretically synchronize two uncertain modified models of unified chaotic system. Numerical simulations were presented to show the effectiveness of the methods.
出处
《深圳大学学报（理工版）》
EI
CAS
北大核心
2010年第1期37-42,共6页
Journal of Shenzhen University(Science and Engineering)
基金
广东省自然科学基金资助项目(2008329)
深圳市公共科技资助项目(sy200806270084A)
关键词
系统学
反馈控制
自适应控制
混沌同步
统一混沌系统的修改模型
systematics
feedback control law
adaptive control
synchronization
modified model of unified chaotic system
