With the force analysis of collided models and theorem of impulse of a system of particles the movement trajectory of objects after colliding is calculated .

本文通过对发生接触的模型进行受力分析，运用质点系 冲量 定理，进而计算出碰撞后物体的运动轨迹。

According to the theorem non-orthogonal wavelets is taken as basis function of impulse response process and noises is removed through multi-scale decomposition and good identification result is achieved . 2 .

在该 定理的基础上，笔者将有显式表达的非正交小波作为基函数逼近系统 的 脉冲响应过程，并经多尺度变换消噪，取得了良好的辨识效果。

A recurrence formula for calculating the displacement and the velocity is derived by combining the theorem of impulse with the method of discretized similarity .

通过结合离散相似法和 冲量 定理，推演出一个计算位移和速度的递推公式。

Further with the help of the convolution theorem and inverse FOURIER transform a semi-analytical solution of the velocity response under semi-sine impulse exciting is obtained .

然后利用卷积 定理和傅立叶逆变换求得瞬态半个 正弦波作用下桩顶响应的振动半解析解；

By the stability theorem of differential equations and Lyapunov functions a sufficient condition of asymptotical stability of its zero solution under time-delay impulsive control is derived and the condition reflects the relationship between the system parameters impulse intervals and time delays .

通过微分方程稳定性 理论和构造Lvapunov函数，给出了系统在时滞脉冲控制下零解渐近稳定的充分条件，条件反映了系统参数、 脉冲区间和时滞量之间的相对关系对系统的影响。