大规模系统集结降阶中的几个问题
Some Problems on the Order-reduction of Large-scale Systems by Aggregation
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摘要: 本文讨论了线性定常系统集结法降阶的几个基本代数关系,论证了集结矩阵K应满足的 条件及其构造方法,指出精确集结降阶的可能性的限度,讨论了简化模型中系统系数矩阵F的 基本性质,并将所得结果用来对"保留主特征值方法"进行了具体的考察.Abstract: Some basic algebraic relations in the order-reduction of linear time-invariant systems by aggregation has been discussed. The conditions, which should be satisfied by the aggregating matrix K, and the method of construetion of this matrix are established. The theoretically possible limit of the exact order-reducing method is shown. The fundamental properties of the system coefficient matrix F in the reduced model are proved, and the results obtained are applied specifically to the inspection of the "aggregation method with the principle eigenvalues retained".
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