Robustness of stability of time-varying index-1 DAEs

Berger, Thomas GND

We study exponential stability and its robustness for time-varying linear index-1 differential-algebraic equations. 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 proved 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. The results are presented by means of illustrative examples.

Cite

Citation style:
Berger, T., 2012. Robustness of stability of time-varying index-1 DAEs.
Could not load citation form. Default citation form is displayed.

Rights

Use and reproduction:
All rights reserved

Export