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Avtomatika i Telemekhanika, 2014, Issue 8, Pages 99–112
(Mi at14109)
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This article is cited in 5 scientific papers (total in 5 papers)
Robust and Adaptive Systems
Robust stabilization of one class of nonlinear systems
V. I. Korobovab, A. V. Lutsenkoab a Karazin Kharkiv National University, Kharkiv, Ukraine
b Institute of Mathematics, University of Szczecin, Szczecin, Poland
Abstract:
We consider the robust linear stabilization problem for a family of nonlinear controllable systems that contains functional-parametric uncertainties and depends on the control nonlinearly. We obtain sufficient conditions for robust stabilization and synthesize state linear controllers that perform robust stabilization. We also obtain necessary conditions for robust stabilization that are close to sufficient. The synthesis is based on the method of Lyapunov functions.
Citation:
V. I. Korobov, A. V. Lutsenko, “Robust stabilization of one class of nonlinear systems”, Avtomat. i Telemekh., 2014, no. 8, 99–112; Autom. Remote Control, 75:8 (2014), 1433–1444
Linking options:
https://www.mathnet.ru/eng/at14109 https://www.mathnet.ru/eng/at/y2014/i8/p99
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