A new approach to the transformations of the matrices of the fractional linear systems with desired eigenvalues is proposed. Conditions for the existence of the solution to the transformation problem of the linear system to its asymptotically stable controllable and observable canonical forms with desired eigenvalues are given and illustrated by numerical examples of fractional linear systems.

中文翻译：

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分数阶线性系统矩阵到其规范稳定形式的变换

提出了一种具有所需特征值的分数线性系统矩阵变换的新方法。给出了线性系统到具有所需特征值的渐近稳定可控可观正则形式的变换问题解的存在条件，并通过分数线性系统的数值例子进行了说明。