线性时变系统的解、稳定性和变换

1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes Pub Date : 1975-12-01 DOI:10.1109/CDC.1975.270710

Min-yen Wu, Isaac Horowitz, J. Dennison

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引用次数: 15

摘要

本文给出了一类相当广泛的线性时变系统的解、稳定性和变换的一些显式结果。证明了这类特殊的线性时变系统的解可以表示为两个矩阵指数函数的乘积，并且系统的稳定性可以直接由两个常数矩阵的特征值确定。此外，通过代数变换和t变换的连续应用，可以将系统简化为线性定常系统。这里给出的广义结果包含了一些以前报道的结果作为特例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On solution, stability, and transformation of linear time-varying systems

This paper presents some explicit results on solution, stability, and transformation of a fairly broad class of linear time-varying systems. It is shown that for this special class of linear time-varying systems, the solution can be represented as a product of two matrix exponential functions and the system stability can be determined directly from eigenvalues of two constant matrices. Furthermore the system can be reduced to a linear time-invariant system by successive applications of an algebraic transformation and a t¿¿ transformation. The generalized results given here contain several previously reported results as special Cases.

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1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes

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