一类分数阶复杂网络系统的有限时间同步控制

郑州航空工业管理学院数理系,河南郑州 450015

分数阶系统; 有限时间; 混沌同步; 复杂网络; 误差系统; 控制

Finite-time synchronization control of a class of fractional-order complex network systems
Mao Beixing and Wang Zhanwei

Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management, Zhengzhou 450015, Henan Province, P.R.China

fractional order systems; finite-time; chaos synchronization; complex network; error system; control

DOI: 10.3724/SP.J.1249.2016.01096

备注

研究一类分数阶复杂网络系统的有限时间混沌同步问题,基于Lyapunov稳定性理论和分数阶微积分的相关理论,给出控制律的设计,得到了系统取得有限时间同步的充分条件,估算了系统取得同步所需的时间.研究结果表明,一定条件下分数阶复杂网络混沌系统是有限时间同步的,仿真结果验证了方法的可行性.

Based on the Lyapunov stability theory and fractional order system theory, we investigate the finite-time chaos synchronization problem of a class of fractional order complex network systems, propose a control law and the sufficient conditions for the synchronization of systems, and estimate the time for the synchronization of systems. It is shown that the fractional order complex network systems are finite-time synchronized under a certain condition. Numerical simulations are performed to verify the effectiveness of the proposed method.

·