【摘要】 考虑两个受噪声干扰的单向耦合混沌系统,给定广义同步映射,基于鲁棒控制方法,提出了系统间广义同步存在的充分条件。同时,无论两个系统的阶数是否相等,所推导出的理论结果都适用。通过引入Lyapunov稳定性理论和线性矩阵不等式理论,严格证明了结果的正确性;进一步地,给出了具体的数值例子加以说明。更多还原

【Abstract】 Two unidirectionally coupled chaotic systems with noise perturbations are considered in the paper.For a given generalized synchronized map,based on the robust control,this study proposes sufficient conditions for the existence of synchronization.In addition,no matter whether the orders of systems are equal,the theoretical results derived here are applicable.By introducing the Lyapunov stability theory and linear matrix inequalities,the results are proved to be effective.The numerical simulations are provided for illustration and verification.更多还原