矩阵Lyapunov方程的直接解

An Explicit Direct Solution of the Lyapunov Matrix Equation

利用ｐａｒｓｅｒｖａｌ定理，本文给出了一种仅需通过矩阵运算就可直接确定矩阵Ｌｙａｐｕｎｏｖ方程解的公式。方法适用于稳定系统且无其它限制条件，算法简洁，附算例。

By using the Parserval theorem, this paper gives a new formula to calculate the solution of the Lyapunov matrix equation explicitly and directly. The simple formula can be used in stable control systems without any other constraint. There is also an example to illustrate the algorithm.