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

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"
}