摘要
根据分数阶系统理论利用终端滑模方法研究了分数阶不确定多混沌系统同步问题，获得了整数阶分数阶两种情形下多混沌系统取得滑模同步的充分性条件．最终结论说明设计合适的控制律和切换函数，分数阶多混沌系统取得滑模同步．
The problem of synchronization of uncertain fractional-order multi-chaotic systems are studied based on Lyapunov fractional-order system theory using terminal sliding mode approach. The sufficient conditions are arrived for integal and fractional- order two cases achieving sliding mode synchronization. The final conclusion illustrated fractional-order multi-chaotic systems are sliding mode chaos synchronization designing proper control laws and switching functions.
作者
李巧利
毛北行
LI Qiao-li;MAO Bei-xing(College of Science,Henan University of Technology,Zhengzhou 450001,China;College of Science,Zhengzhou Institute of Aeronautical Industry Management,Zhengzhou 450015,China)
出处
《数学的实践与认识》
北大核心
2018年第18期251-257,共7页
Mathematics in Practice and Theory
基金
国家自然科学基金(11601121,11701149)
关键词
分数阶
多混沌系统
终端滑模
同步
fractional-order
multi-chaotic systems
terminal sliding mode
synchronization
