Standard

Stabilization of a Given Set of Equilibrium States of Nonlinear Systems. / Smirnov, N. V.; Smirnova, T. E.; Shakhov, Ya. A.

In: Journal of Computer and Systems Sciences International, Vol. 51, No. 2, 2012, p. 169–175.

Research output: Contribution to journal › Article

Harvard

Smirnov, NV, Smirnova, TE & Shakhov, YA 2012, 'Stabilization of a Given Set of Equilibrium States of Nonlinear Systems', Journal of Computer and Systems Sciences International, vol. 51, no. 2, pp. 169–175. https://doi.org/10.1134/S1064230712020128

APA

Smirnov, N. V., Smirnova, T. E., & Shakhov, Y. A. (2012). Stabilization of a Given Set of Equilibrium States of Nonlinear Systems. Journal of Computer and Systems Sciences International, 51(2), 169–175. https://doi.org/10.1134/S1064230712020128

Vancouver

Smirnov NV, Smirnova TE, Shakhov YA. Stabilization of a Given Set of Equilibrium States of Nonlinear Systems. Journal of Computer and Systems Sciences International. 2012;51(2):169–175. https://doi.org/10.1134/S1064230712020128

Author

Smirnov, N. V. ; Smirnova, T. E. ; Shakhov, Ya. A. / Stabilization of a Given Set of Equilibrium States of Nonlinear Systems. In: Journal of Computer and Systems Sciences International. 2012 ; Vol. 51, No. 2. pp. 169–175.

BibTeX

@article{96a824fd7ef44906add5e3ebd52ea3ea,
title = "Stabilization of a Given Set of Equilibrium States of Nonlinear Systems",
abstract = "The problem of multiprogram stabilization of the given set of equilibrium states in the class of nonlinear time invariant systems is studied. A method for designing multiprogram control based on the idea of interpolation is proposed. Hermite{\textquoteright}s interpolation polynomial makes it possible to design a controller that provides the prescribed time invariant modes of operation for the closed-loop system and ensures their asymptotic stability. A theorem on sufficient conditions for the existence of a multi-program control is proved. The results are illustrated by a practical example.",
keywords = "Динамическая управляемая система, положения равновесия, многопрограммное управление, стабилизация",
author = "Smirnov, {N. V.} and Smirnova, {T. E.} and Shakhov, {Ya. A.}",
year = "2012",
doi = "10.1134/S1064230712020128",
language = "English",
volume = "51",
pages = "169–175",
journal = "Journal of Computer and Systems Sciences International",
issn = "1064-2307",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "2",

}

RIS

TY - JOUR

T1 - Stabilization of a Given Set of Equilibrium States of Nonlinear Systems

AU - Smirnov, N. V.

AU - Smirnova, T. E.

AU - Shakhov, Ya. A.

PY - 2012

Y1 - 2012

N2 - The problem of multiprogram stabilization of the given set of equilibrium states in the class of nonlinear time invariant systems is studied. A method for designing multiprogram control based on the idea of interpolation is proposed. Hermite’s interpolation polynomial makes it possible to design a controller that provides the prescribed time invariant modes of operation for the closed-loop system and ensures their asymptotic stability. A theorem on sufficient conditions for the existence of a multi-program control is proved. The results are illustrated by a practical example.

AB - The problem of multiprogram stabilization of the given set of equilibrium states in the class of nonlinear time invariant systems is studied. A method for designing multiprogram control based on the idea of interpolation is proposed. Hermite’s interpolation polynomial makes it possible to design a controller that provides the prescribed time invariant modes of operation for the closed-loop system and ensures their asymptotic stability. A theorem on sufficient conditions for the existence of a multi-program control is proved. The results are illustrated by a practical example.

KW - Динамическая управляемая система

KW - положения равновесия

KW - многопрограммное управление

KW - стабилизация

U2 - 10.1134/S1064230712020128

DO - 10.1134/S1064230712020128

M3 - Article

VL - 51

SP - 169

EP - 175

JO - Journal of Computer and Systems Sciences International

JF - Journal of Computer and Systems Sciences International

SN - 1064-2307

IS - 2

ER -

ID: 5322996