@inproceedings{36a1a0059ff84b0cb08d46ca45fc0863,
title = "Commutativity and asymptotic stability for linear switched DAEs",
abstract = "For linear switched ordinary differential equations with asymptotically stable constituent systems, it is well known that commutativity of the coefficient matrices implies asymptotic stability of the switched system under arbitrary switching. This result is generalized to linear switched differential algebraic equations (DAEs). Although the solutions of a switched DAE can exhibit jumps it turns out that it suffices to check commutativity of the {"}flow{"} matrices. As in the ODE case we are also able to construct a common quadratic Lyapunov function.",
author = "Daniel Liberzon and Stephan Trenn and Fabian Wirth",
year = "2011",
doi = "10.1109/CDC.2011.6160335",
language = "English (US)",
isbn = "9781612848006",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "417--422",
booktitle = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011",
address = "United States",
note = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 ; Conference date: 12-12-2011 Through 15-12-2011",
}