摘要
研究了分数阶系统有限时间稳定性理论及分数阶混沌系统的同步问题.根据分数阶微分性质及分数阶系统稳定性理论,建立了分数阶系统有限时间稳定性理论并进行了证明.根据该理论设计控制器实现了分数阶超混沌Lorenz系统有限时间同步并运用数值仿真进行了验证.
Finite-time stable theorem about fractional system and finite-time synchronizing fractional chaotic system are studied in this paper.A finite-time stable theorem is proposed and proved according to the properties of fractional equation.Using this theorem,fractional super chaotic Lorenz systems is synchronized in finite-time.Numerical simulation certifies the effectiveness of the theorem proposed in this paper.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2011年第10期93-97,共5页
Acta Physica Sinica
基金
国家自然科学基金(批准号:50875132)
南通大学自然科学基金(批准号:10Z021)资助的课题~~
