Publication detail

Procedures for Matrix Exponential Function Derivative in Matlab

BRANČÍK, L.

Original Title

Procedures for Matrix Exponential Function Derivative in Matlab

English Title

Procedures for Matrix Exponential Function Derivative in Matlab

Type

journal article

Language

en

Original Abstract

The paper deals with a few approaches how to determine a derivative of the matrix exponential function in the Matlab language. A usefulness for such the computation appears in many branches of the electrical engineering when various simulation tasks are solved. A Taylor series expansion, an augmented matrix utilization, an eigenvalues decomposition, a Laplace transform approach, a convolution integral evaluation and a Padé approximation method are discussed in the paper.

English abstract

The paper deals with a few approaches how to determine a derivative of the matrix exponential function in the Matlab language. A usefulness for such the computation appears in many branches of the electrical engineering when various simulation tasks are solved. A Taylor series expansion, an augmented matrix utilization, an eigenvalues decomposition, a Laplace transform approach, a convolution integral evaluation and a Padé approximation method are discussed in the paper.

Keywords

matrix exponential function, derivative, Matlab, simulation

RIV year

2007

Released

14.09.2007

Publisher

Warszaw University of Technology

Location

Polsko

Pages from

7

Pages to

10

Pages count

4

BibTex


@article{BUT43474,
  author="Lubomír {Brančík}",
  title="Procedures for Matrix Exponential Function Derivative in Matlab",
  annote="The paper deals with a few approaches how to determine a derivative of the matrix exponential function in the Matlab language. A usefulness for such the computation appears in many branches of the electrical engineering when various simulation tasks are solved. A Taylor series expansion, an augmented matrix utilization, an eigenvalues decomposition, a Laplace transform approach, a convolution integral evaluation and a Padé approximation method are discussed in the paper.",
  address="Warszaw University of Technology",
  chapter="43474",
  institution="Warszaw University of Technology",
  journal="Przeglad Elektrotechniczny - Konferencje",
  number="2",
  volume="5",
  year="2007",
  month="september",
  pages="7--10",
  publisher="Warszaw University of Technology",
  type="journal article"
}