On perturbations in the leading coefficient matrix of time-varying index-1 DAEs

Corresponding Author

Thomas Berger

[email protected]

Institute of Mathematics, Ilmenau University of Technology, Weimarer Str. 25, 98693 Ilmenau, Germany

Institute of Mathematics, Ilmenau University of Technology, Weimarer Str. 25, 98693 Ilmenau, GermanySearch for more papers by this author

Thomas Berger,

Corresponding Author

Thomas Berger

[email protected]

Institute of Mathematics, Ilmenau University of Technology, Weimarer Str. 25, 98693 Ilmenau, Germany

Institute of Mathematics, Ilmenau University of Technology, Weimarer Str. 25, 98693 Ilmenau, GermanySearch for more papers by this author

First published: 03 December 2012

https://doi.org/10.1002/pamm.201210382

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Abstract

Time-varying index-1 DAEs and the effect of perturbations in the leading coefficient matrix is investigated. An appropriate class of allowable perturbations is introduced. Robustness of exponential stability with respect to a certain class of perturbations is shown in terms of the Bohl exponent and perturbation operator. Finally, a stability radius involving these perturbations is introduced and investigated. In particular, a lower bound for the stability radius is derived. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)

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