Publication detail
Chain Matrix Derivative via Laplace Transform Method with Applications to Distributed Circuits Simulation
BRANČÍK, L.
Original Title
Chain Matrix Derivative via Laplace Transform Method with Applications to Distributed Circuits Simulation
English Title
Chain Matrix Derivative via Laplace Transform Method with Applications to Distributed Circuits Simulation
Type
conference paper
Language
en
Original Abstract
In the paper a technique based on the Laplace transform method to get the derivative of a matrix exponential function is elaborated. The necessity for such a computation appears in many cases of modelling and simulation problems. In the field of an electrical engineering it can be utilized e.g. for a sensitivity computation in the circuits with multiconductor transmission lines (MTLs) as their distributed parts. In this case just the s-domain MTLs chain matrix has a form of the matrix exponential function. A respective procedure was developed in the Matlab language environment.
English abstract
In the paper a technique based on the Laplace transform method to get the derivative of a matrix exponential function is elaborated. The necessity for such a computation appears in many cases of modelling and simulation problems. In the field of an electrical engineering it can be utilized e.g. for a sensitivity computation in the circuits with multiconductor transmission lines (MTLs) as their distributed parts. In this case just the s-domain MTLs chain matrix has a form of the matrix exponential function. A respective procedure was developed in the Matlab language environment.
Keywords
chain matrix, matrix exponential function, derivative, Laplace transform, numerical inversion
RIV year
2006
Released
14.09.2006
Publisher
VUT v Brně
Location
Brno
Pages from
58
Pages to
63
Pages count
6
Documents
BibTex
@inproceedings{BUT18831,
author="Lubomír {Brančík}",
title="Chain Matrix Derivative via Laplace Transform Method with Applications to Distributed Circuits Simulation",
annote="In the paper a technique based on the Laplace transform method to get the derivative of a matrix exponential function is elaborated. The necessity for such a computation appears in many cases of modelling and simulation problems. In the field of an electrical engineering it can be utilized e.g. for a sensitivity computation in the circuits with multiconductor transmission lines (MTLs) as their distributed parts. In this case just the s-domain MTLs chain matrix has a form of the matrix exponential function. A respective procedure was developed in the Matlab language environment.",
address="VUT v Brně",
booktitle="Electronic Devices and Systems IMAPS CS International Conference 2006",
chapter="18831",
institution="VUT v Brně",
year="2006",
month="september",
pages="58",
publisher="VUT v Brně",
type="conference paper"
}