基于谱信息的二阶系统解耦研究  

Research on decoupled of quadratic systems based on eigenvalues data

作　　者：沈继红[1] 匡林林[1] 王淑娟[1] 

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4期587-589,597,共4页Journal of Harbin University of Commerce：Natural Sciences Edition

基　　金：中央高校基金(GK2110260107)

摘　　要：数值代数领域通过保持Lancaster结构来研究二阶系统的解耦问题,但寻找到解耦变换涉及到了非线性方程组求解问题,难以实现.提出了一个二阶系统解耦的新方法.根据解耦前后的同谱信息来确定解耦后的系统,将解耦变换的求解问题转化为齐次线性方程组的求解问题.数值试验验证了所给方法的正确性.The construction of quadratic isospectral diagonal systems have been the difficulties of the quadratic systems decoupling problem.A new construction method of its isospectral diagonal systems was proposed in this paper.The decoupled systems were identified by the isospectrality of systems,and the problem to solve decoupling transformations was converted to the solution of homogeneous system of linear equations.The method was shown to be feasible by the given numerical experiments.

关 键 词：二阶系统 同谱 标准型 系统解耦 

分 类 号：O29[理学—应用数学]