@inproceedings{3101907ec94b485aae24fd4cc30b0d17,

title = "Script L sign2 gain analysis of switched systems with average dwell time",

abstract = "In this paper, we investigate the script L sign2 gain properties of time-controlled switched systems consisting of several linear Subsystems by using an average dwell time approach incorporated with a piecewise Lyapunov function. We show that when all subsystems are Hurwitz stable and have the script L sign2 gain smaller than a positive scalar γ0, then the switched system can achieve any script L sign2 gain larger than γ0 if the average dwell time is chosen sufficiently large. The result is extended to the case where state jumps occur at switching points, and to a class of nonlinear switched systems by considering a Hamilton-Jacobi inequality for each subsystem.",

keywords = "Average dwell time, Piecewise Lyapunov function, Script L sign gain, Switched system, Switching law",

author = "Guisheng Zhai and Bo Hu and Kazunori Yasuda and Michel, {Anthony N.}",

year = "2000",

month = dec,

day = "1",

language = "English",

isbn = "7801346955",

series = "Proceedings of the 4th Asia-Pacific Conference on Control and Measurement",

pages = "145--149",

editor = "S. Chunlin and S. Chunlin",

booktitle = "Proceedings of the 4th Asia-Pacific Conference on Control and Measurement",

note = "Proceedings of the 4th Asia-Pacific Conference on Control and Measurement ; Conference date: 09-07-2000 Through 12-07-2000",

}