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Avtomatika i Telemekhanika, 2009, Issue 2, Pages 101–108
(Mi at421)
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This article is cited in 2 scientific papers (total in 2 papers)
Adaptive and Robust Systems
Robust stabilization of continuous indeterminate systems
A. Kh. Gelig, I. E. Zuber Saint-Petersburg State University
Abstract:
The system of an arbitrary order with one scalar control is considered. It is assumed that coefficients of the system and vectors of distribution of control are bounded and are functionals of an arbitrary character. With the aid of the Lyapunov function in a quadratic form with the constant Jacobian matrix of coefficients of a special form, the conditions for bounds of a change of the coefficients are obtained, in the fulfillment of which the linear stationary control by the state is synthesized. In this control, the system becomes exponentially stable on the whole.
Citation:
A. Kh. Gelig, I. E. Zuber, “Robust stabilization of continuous indeterminate systems”, Avtomat. i Telemekh., 2009, no. 2, 101–108; Autom. Remote Control, 70:2 (2009), 263–270
Linking options:
https://www.mathnet.ru/eng/at421 https://www.mathnet.ru/eng/at/y2009/i2/p101
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