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Avtomatika i Telemekhanika, 2011, Issue 9, Pages 161–172
(Mi at2282)
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This article is cited in 6 scientific papers (total in 6 papers)
Robust and Adaptive Systems
Invariant stabilization of classes of uncertain systems with delays
A. H. Gelig, I. E. Zuber St. Petersburg State University, St. Petersburg, Russia
Abstract:
This paper deals with uncertain systems with delayed argument and having the property that the entries of the state matrix are functionals of arbitrary nature with the only available information being the bounds on their variations. Using quadratic Lyapunov–Krasovskii functionals of the special form, the control is designed such that it is robust against the variations in the plant matrix, the system output decays exponentially no matter what the persistent exogenous disturbance is, and the state vector remains bounded.
Citation:
A. H. Gelig, I. E. Zuber, “Invariant stabilization of classes of uncertain systems with delays”, Avtomat. i Telemekh., 2011, no. 9, 161–172; Autom. Remote Control, 72:9 (2011), 1941–1950
Linking options:
https://www.mathnet.ru/eng/at2282 https://www.mathnet.ru/eng/at/y2011/i9/p161
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