@inproceedings{855280c47e074ec8b94b77467780cc4f,

title = "The phenomenon of the second order steady modes in the relay control systems with time delay",

abstract = "The second order relay control systems with delay (SORCSD) are considered. The notations of the frequency, oscillatory solutions and the second order steady modes for SORCSD are introduced. It is shown that the frequency of any oscillatory solution of SORCSD after a finite time interval becomes a constant. The sufficient conditions are found under which there exists a solution with any nonnegative integer constant frequency which is called the steady mode. This means that any oscillatory solution coincides with some steady mode. It is shown that for any nonnegative frequency there exist the periodic steady modes of the autonomous SORCSD. It is justified that under some conditions any periodic solutions of the SOR-CSD with zero limit frequency are orbitally asymptotically stable.",

keywords = "Delay systems, Nonlinear dynamics, Variable structure systems",

author = "Fridman, {L. M.} and Fridman, {E. M.} and Shustin, {E. I.}",

year = "1997",

month = apr,

day = "8",

doi = "10.23919/ecc.1997.7082576",

language = "אנגלית",

series = "ECC 1997 - European Control Conference",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "3049--3052",

booktitle = "ECC 1997 - European Control Conference",

address = "ארצות הברית",

note = "4th European Control Conference, ECC 1997 ; Conference date: 01-07-1997 Through 04-07-1997",

}