Numerical inversion of multidimensional Laplace transforms via block-pulse functions

Hwang, Chyi; Guo, Tong‐Yi; Shih, Yen‐Ping

doi:10.1049/ip-d.1983.0043

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

1984

2016

Publication Types

Select...

Article4

Book1

Relationship

Self Cite0

Independent5

Authors

Journals

Cited by 16 publications

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Remarks on ‘minimum energy control of time‐delay systems via Walsh functions’

Marszałek

1985

Optim Control Appl Methods

View full text Add to dashboard Cite

The aim of this comment is to show that some results of Reference 1 are in fact equivalent to the well-known results of earlier papers.2 First, it will be shown that the discrete equations of the so-called single term Walsh series (STWS) approach are the same as those obtained, for example, by Rao and Srinivasan' via matrix manipulations.Secondly, we would like to point out that it is not necessary to use an algorithm for extension of computation beyond the initial normal interval to obtain the STWS approach. This can be done easier by applying the well-known trapezoidal rule of integration (sometimes called a Tustin integrating operator4).Let us start with the first remark. The STWS approach requires the following equations'

show abstract