矢阵及其在目标状态测量建模中的应用

VECTRIX AND ITS APPLICATION IN MODELING OF TARGET STATE ESTIMATION PROBLEM

本文通过引入矢阵反对称叉积算子概念 ,得出了矢阵叉积算子同一般矢量列阵叉积算子之间的关系恒等式 ,揭示了两者之间的对称关系 ,由此关系非常方便地得到了矢阵运动学关系及其它一些常用关系 ,并把坐标变换阵对时间的导数推广到更一般的情况。一个对目标雷达被动定位状态测量建模的实例表明了其实际应用意义。

A skew symmetric cross product operator identity is presented which shows the symmetrical relationship between a column matrix and a vectrix.The kinematics of vectrices and other commonly used relations can be easily obtained with it.The time derivative of the transformation matrix is extended to a more general form of expression.Application to the derivation of state equation of a passive position location problem shows its practical usefulness.