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恒定输入作用下状态方程解的系数矩阵表示法,已在文献[3]中进行过讨论。任意输入作用下状态方程的零状态解,尽管已不能再用系数矩阵法求得,但只要引用冲击响应与零输入响应的等效应原理(即等效定理),仍可延用系数矩阵法来求冲击响应,然后用卷积积分以求得零状态解。且通过求解可导出一种求状态过渡矩阵e~([A]t)的方法,并确切说明e~([A]t)的真
The coefficient matrix representation of the solution of the state equation under the constant input has been discussed in [3]. The zero-state solution of the state equation under arbitrary input can be obtained by using the coefficient matrix method even though it can no longer be obtained by using the coefficient matrix method, so long as the equivalent principle of impulse response and zero input response (ie equivalent theorem) is used Seek impact response, then use convolution integral to find zero state solution. And by solving it, we can derive a method of finding the state transition matrix e ~ ([A] t), and exactly explain the true e ~ ([A] t)