摘要:
针对一类分数阶混沌系统的同步问题,提出基于比较系统理论的脉冲同步方法.通过构造新的响应系统,可将原分数阶同步误差系统转化为整数阶同步误差系统,基于Lyapunov稳定性理论与脉冲微分方程理论,给出一组新的分数阶混沌系统全局渐近同步判据.特别地,当脉冲间距与脉冲控制增益为常数时,可获得更为简单和实用的同步判据.与现有结果相比,所得充分条件更为严格和实用.通过对分数阶Chen系统同步问题的数值仿真研究,验证了所提方法的有效性和可行性.
Abstract:
In this paper,a novel impulsive control method based on comparison system is proposed to realize complete synchronization of a class of fractional order chaotic systems.By constructing the suitable response system,the original fractional order error system can be converted into the integral order one.Based on the theory of Lyapunov stability and impulsive differential equations,some effective sufficient conditions are derived to guarantee the asymptotical stability of synchronization error system.In particular,some simpler and more convenient conditions are derived by taking the same impulsive distances and control gains.Compared with the existing results,the main results in this paper are more practical and rigorous.Simulation results for fractional order Chen system show the effectiveness and the feasibility of the proposed impulsive control method.
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