For the sake of using the research of normal systems easily, descriptor systems are changed into normal systems by using Jordan decomposition of matrixes and their observability is hold on.
为了便于利用现有的正常系统研究结果，运用矩阵的约当分解，将一类广义系统化为正常系统，并保持其可观测性不变。
As one of applications, the Jordan decomposition theorem of a properly defined signed vector-valued measure is obtained, and the signed vector-valued measure is just a fuzzy number-valued measure.
作为应用之一，在合理定义了广义矢值测度后，得到了约当分解定理，并且这种广义矢值测度就是一个模糊数值测度。
As one of applications, the Jordan decomposition theorem of a properly defined signed vector-valued measure is obtained, and the signed vector-valued measure is just a fuzzy number-valued measure.
作为应用之一，在合理定义了广义矢值测度后，得到了约当分解定理，并且这种广义矢值测度就是一个模糊数值测度。
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