@inproceedings{c876f779368e4287ba3bd41eb3f6cc42,
title = "Stability analysis and design for switched descriptor systems",
abstract = "In this paper, we consider stability analysis and design for switched systems consisting of linear descriptor systems that have the same descriptor matrix. When all descriptor systems are stable, we show that if the descriptor matrix and all the subsystem matrices are commutative pairwise, then the switched system is stable under arbitrary switching. This is an extension of the existing well known result in [1] for switched linear systems with state space models to switched descriptor systems. Under the same commutation condition, we also show that in the case where all the descriptor systems are not stable, if there is a stable convex combination of the unstable descriptor systems, then we can establish a class of switching laws which stabilize the switched system.",
keywords = "Arbitrary switching, Commutation, Convex combination, Descriptor systems, Stability analysis, Stabilization, Switched systems",
author = "Guisheng Zhai and Ryuuen Kou and Joe Imae and Tomoaki Kobayashi",
year = "2006",
doi = "10.1109/ISIC.2006.285599",
language = "English",
isbn = "0780397983",
series = "IEEE International Symposium on Intelligent Control - Proceedings",
pages = "482--487",
booktitle = "Proceedings of the 2006 IEEE International Symposium on Intelligent Control, ISIC",
note = "Joint 2006 IEEE Conference on Control Applications (CCA), Computer-Aided Control Systems Design Symposium (CACSD) and International Symposium on Intelligent Control (ISIC) ; Conference date: 04-10-2006 Through 06-10-2006",
}