二阶系统解耦中齐次Sylvester方程非奇异解求解

摘要

从数值代数的角度即基于系统解耦前后具有相同谱信息进行通解形式的构造,根据二阶系统中各个参数的特点对于齐次Sylvester方程分析得到其解的形式,根据解的形式通过对参数限制得到非奇异解,为求解齐次Sylvester方程的非奇异解问题找到了一种简便可行的方法,数值实验证明了该方法的可行性.%In this paper, the nonsingular solution of the Sylvester equation was solved, according to a constitution method of that equation solution, the formation of general solution was constructed by using the same spectrum information, which was achieved between pre-and post-system decoupling; the nonsingular solution was searched by estimation of parameters. The results of numerical experiments showed this constitution method was a feasible one, which supplied a simple approach for nonsingular solution of the Sylvester equation.