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ℒ︁ 2 gain analysis of linear systems with a single switching
Author(s) -
Sebe Noboru,
Suyama Koichi
Publication year - 2011
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1617
Subject(s) - control theory (sociology) , transient (computer programming) , transient analysis , high gain antenna , automatic gain control , linear control systems , computer science , linear system , control (management) , transient response , mathematics , engineering , telecommunications , electrical engineering , artificial intelligence , operating system , amplifier , mathematical analysis , bandwidth (computing)
For analysis and design of fault‐tolerant control systems, it is very important to evaluate the effects of failures, especially the transient responses caused by failures. This paper considers the ℒ 2 gain analysis of linear systems with a single switching, and gives necessary and sufficient conditions for the analysis. Also, the worst disturbance corresponding to the switching ℒ 2 gain is explicitly characterized. Copyright © 2010 John Wiley & Sons, Ltd.