Frequency Truncated Discrete-Time System Norm

被引：0
|
作者：
Shekhawat, Hanumant Singh [1 ]
机构：
[1] Indian Inst Technol Guwahati, Dept Elect & Elect Engn, Gauhati 781039, India
来源：
IEEE CONTROL SYSTEMS LETTERS | 2020年 / 4卷 / 03期
关键词：
Eigenvalues and eigenfunctions; Linear systems; Transfer functions; Closed-form solutions; Frequency control; Time-frequency analysis; Integral equations; System norms; matrix functions; descriptor system; principal logarithm; MODEL-REDUCTION;
D O I：
10.1109/LCSYS.2020.2981893
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Computation of the frequency truncated norm of a discrete-time linear time-invariant system is required in multi-rate digital signal processing and model reduction applications. For a system represented using state-space equations, the frequency truncated norm itself is a particular case of an integral of the transfer function of a discrete-time linear time-invariant descriptor system over a limited frequency band. This letter provides closed-form expressions for this integral and the frequency truncated norm for direct computation in terms of the principal logarithm and matrix exponential function.
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页码：590 / 595
页数：6
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