Computation of matrix exponentials of special matrices

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摘要

Computing matrix exponentials or transition matrices are important in signal processing and control systems. This paper studies the methods of computing the transition matrices related to linear dynamic systems, discusses and gives the properties of the transition matrices and explores the transition matrices of some special matrices. Some examples are provided to illustrate the proposed methods.

论文关键词:Matrix exponential,Transition matrix,Similarity transformation,Jordan matrix,Special matrix,Linear system

论文评审过程:Available online 6 September 2013.

论文官网地址:https://doi.org/10.1016/j.amc.2013.07.079