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本文对常系数线性系统,在初始扰动取值于相空间一定范围内而确定的运动衰减到另一个预先给定的范围所需时间,进行了估计,并获得了一定的结果,这个时间的上下界仅跟系统的系数有关。
In this paper, we estimate the time required for the constant coefficient linear system to decay the motion determined by the initial disturbance within a certain range of the phase space to another predetermined range, and obtain some results. The community is only related to the coefficient of the system.