基于非线性方程组数值解法的严格正则系统同时镇定

先运用多项式分解，将严格正则线性系统同时镇定问题化成一组相容非线性方程的求解，然后提出了一种求解相容非线性方程组的拟牛顿下山数值算法，并应用该方法求解同时镇定问题。算例表明本文方法的有效性。

Simultaneous Stabilization for Strictly Proper Systems via Numerical Algorithm of Nonlinear Equations

Based on the polynomial fractionization,the simultaneous stabilization problem for strictly proper linear systems is transformed into a solving problem of a set of consistent nonlinear equations. Then a quasi -Newton decent numeric algorithm for solving the consistent equations is presented and applied to solving the simultaneous simulation problem. Examples show the effectiveness of the method.