On the operational matrices of block pulse functions

It is pointed out that the mathematical bases for block pulse operational methods to various dynamic system problems are to represent the delay operator exp(- hs)approximately by and to represent exp ( - αhs) approximately by (1 - α) + α exp ( - hs), where 0 ≤ α ≤ 1. On these bases, all the existing...

Full description

Saved in:
Bibliographic Details
Published in:International journal of systems science 1986-10, Vol.17 (10), p.1489-1498
Main Authors: HWANG, CHYI, SHIH, YEN-PING
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control system analysis
Control theory. Systems
Exact sciences and technology
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:It is pointed out that the mathematical bases for block pulse operational methods to various dynamic system problems are to represent the delay operator exp(- hs)approximately by and to represent exp ( - αhs) approximately by (1 - α) + α exp ( - hs), where 0 ≤ α ≤ 1. On these bases, all the existing block pulse operational matrices-the integration matrix, the convolution matrix, the correlation matrix, the delay matrix, and the stretch matrix-can be derived in a mathematically rigorous way without having to use graphical demonstrations.
ISSN:0020-7721
1464-5319
DOI:10.1080/00207728608926902