@inproceedings{1c4ba77e238b43b0b6fde56545f47d2b,
title = "Dissipativity based stability of switched systems with state-dependent switchings",
abstract = "Stability problem of switched systems with state-dependent switchings is addressed. Sufficient conditions for stability are presented using dissipativity property of subsystems on their active regions. In these conditions, each storage function of a subsystem is allowed to grow on the {"}switched on{"} time sequence but the total growth is bounded in certain ways. Asymptotic stability is achieved under further assumptions of a detectability property of a local form and boundedness of the total change of some storage function on its inactive intervals. A necessary and sufficient condition for all subsystems to be dissipative on their active regions is given and a state-dependent switching law is designed. As a particular case, localized Kalman-Yakubovich-Popov conditions are derived for passivity. A condition for piecewise dissipativity property and a design method of switching laws are also proposed.",
author = "Jun Zhao and Hill, {David J.}",
year = "2007",
doi = "10.1109/CDC.2007.4434043",
language = "English",
isbn = "1424414989",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "4027--4032",
booktitle = "Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC",
address = "United States",
note = "46th IEEE Conference on Decision and Control 2007, CDC ; Conference date: 12-12-2007 Through 14-12-2007",
}