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中文摘要：
为了解决具有指数型广义反射矩阵的线性微分系统的周期解与稳定性问题,提出通过线性微分系统的广义反射矩阵来寻找其Poincaré映射的方法,研究了具有指数型广义反射矩阵的线性微分系统.x=P（t）x的条件,给出此类线性微分系统的广义反射矩阵的形式和广义反射函数,从而得到该类微分系统的周期解和稳定性.该结果对研究其他微分系统的周期解与稳定性具有一定的参考价值和指导意义.
英文摘要：
In order to solve the periodic solution and stability problem of linear differential system which has the exponential type generalized reflection matrix,this paper proposes a method seek for its Poincaré mapping by the generalized reflection matrix of the linear differential system.The author studies the condition of linear differential system =P（t）x that has the exponential type generalized reflection matrix,obtains the generalized reflection matrix form and the generalized reflection function of this kind of linear differential system,thus obtains their periodic solution and stability.This result has certain reference value and the guiding sense to study the periodic solution and the stability of other differential system.
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