中文摘要：

基于分数阶微积分理论以及滑膜控制研究方法,研究具有确定参数和不确定参数两种情形下分数阶多涡卷系统的滑模混沌同步问题。给出两种情形下切换函数的构造,设计出控制器,并给出系统取得同步的两个充分性条件。研究结果表明：在适当的选取控制律以及自适应控制律下,多涡卷误差系统取得滑模混沌同步。

英文摘要：

The problem of sliding model chaos synchronization of a class of fractional-order multi-scroll systems with ceazin and uncertain parameter was studied based on fractional order calculus theory and sliding mode control approach. The switching function and controller was designed, two sufficient conditions were arrived for the fractional order sys- tems sliding model synchronization. The research conclusion illustrated that fractional-order multi-scroll systems was sliding mode chaos synchronization under proper controllers and self-adaptive law.