@inproceedings{6b4abb08fab14caf907585694a210f1d,

title = "An improved stability method for linear systems with fast-varying delays",

abstract = "Stability of linear systems with uncertain bounded time-varying delays is studied under the assumption that the nominal delay values are not equal to zero. An input-output approach to stability of such systems is known to be based on the bound of the L2-norm of a certain integral operator. There exists a bound on this operator in two cases: in the case where the delay derivative is not greater than 1 and in the case without any constraints on the delay derivative. In the present note we fill the gap between the two cases by deriving a tight operator bound which is an increasing and continuous function of the delay derivative upper bound d >1. For d → 1 the new bound corresponds to the second case and improves the existing bound. As a result, delay-derivative-dependent frequency-domain and time-domain stability criteria are derived for systems with the delay derivative greater than 1.",

keywords = "Input-output approach, Stability, Time-varying delay",

author = "Eugenii Shustin and Emilia Fridman",

year = "2006",

doi = "10.3182/20060705-3-fr-2907.00016",

language = "אנגלית",

isbn = "9783902661104",

series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",

publisher = "IFAC Secretariat",

number = "PART 1",

pages = "83--88",

booktitle = "ROCOND'06 - 5th IFAC Symposium on Robust Control Design, Final Program with Abstracts",

address = "אוסטריה",

edition = "PART 1",

}