二阶系统解耦中齐次Sylvester方程非奇异解求解  

Research on nonsingular solution of Sylvester equation based on quadratic system decoupling

作　　者：沈继红[1] 张善美 

机构地区：[1]哈尔滨工程大学理学院,哈尔滨150001

出　　处：《哈尔滨商业大学学报（自然科学版）》2011年第6期849-853,892,共6页Journal of Harbin University of Commerce：Natural Sciences Edition

基　　金：中央高校基金"基于Lancaster结构的二阶系统解耦算法研究及其在舰船振动系统解耦中的应用"(GK2110260107)

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.

关 键 词：二阶系统 系统解耦 SYLVESTER方程 非奇异解 

分 类 号：O29[理学—应用数学]