Young Researchers' Minisymposium

You have free access to this content

A converse Lyapunov theorem for switched DAEs

  1. Stephan Trenn1,*,
  2. Fabian Wirth2

Article first published online: 3 DEC 2012

DOI: 10.1002/pamm.201210381

Issue

PAMM

PAMM

Special Issue: 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt 2012; Editors: H.-D. Alber, N. Kraynyukova and C. Tropea

Volume 12, Issue 1, pages 789–792, December 2012

Additional Information

How to Cite

Trenn, S. and Wirth, F. (2012), A converse Lyapunov theorem for switched DAEs. Proc. Appl. Math. Mech., 12: 789–792. doi: 10.1002/pamm.201210381

Author Information

  1. 1

    Department of Mathematics, TU Kaiserslautern, Erwin Schrödinger Str. Geb. 48, 67663 Kaiserslautern, Germany

  2. 2

    Institute for Mathematics, University of Würzburg, Emil-Fischer-Str. 40, 97074 Würzburg, Germany

*Department of Mathematics, TU Kaiserslautern, Erwin Schrödinger Str. Geb. 48, 67663 Kaiserslautern, Germany

Publication History

  1. Issue published online: 3 DEC 2012
  2. Article first published online: 3 DEC 2012

SEARCH

SEARCH BY CITATION

ARTICLE TOOLS

Get PDF (204K)

Abstract

For switched ordinary differential equations (ODEs) it is well known that exponential stability under arbitrary switching yields the existence of a common Lyapunov function. The result is known as a “converse Lyapunov Theorem”. In this note we will present a converse Lyapunov theorem for switched differential algebraic equations (DAEs) as well as the construction of a Barabanov norm for irreducible switched DAEs. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)

Get PDF (204K)