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Nonsmooth and discontinuous speed-gradient algorithms. / Fradkov, A. L.; Dolgopolik, M. V.

In: Nonlinear Analysis: Hybrid Systems, Vol. 25, 08.2017, p. 99-113.

Research output: Contribution to journal › Article › peer-review

Harvard

Fradkov, AL & Dolgopolik, MV 2017, 'Nonsmooth and discontinuous speed-gradient algorithms', Nonlinear Analysis: Hybrid Systems, vol. 25, pp. 99-113. https://doi.org/10.1016/j.nahs.2017.03.005

APA

Fradkov, A. L., & Dolgopolik, M. V. (2017). Nonsmooth and discontinuous speed-gradient algorithms. Nonlinear Analysis: Hybrid Systems, 25, 99-113. https://doi.org/10.1016/j.nahs.2017.03.005

Vancouver

Fradkov AL, Dolgopolik MV. Nonsmooth and discontinuous speed-gradient algorithms. Nonlinear Analysis: Hybrid Systems. 2017 Aug;25:99-113. https://doi.org/10.1016/j.nahs.2017.03.005

Author

Fradkov, A. L. ; Dolgopolik, M. V. / Nonsmooth and discontinuous speed-gradient algorithms. In: Nonlinear Analysis: Hybrid Systems. 2017 ; Vol. 25. pp. 99-113.

BibTeX

@article{63cedbd249fb49819994fd5fa91db745,
title = "Nonsmooth and discontinuous speed-gradient algorithms",
abstract = "In this article, nonsmooth extensions of the Speed-Gradient (SG) algorithms in differential and finite forms are proposed. The conditions ensuring achievement of the control goal (convergence of the goal function to zero) are established. Furthermore, conditions under which the control goal is achieved in finite time with the use of nonsmooth or discontinuous SG algorithms are obtained. Theoretical results are illustrated by example of nonsmooth energy-based control for a non-affine in control pendulum-like system.",
keywords = "Finite-time convergence, Nonsmooth systems, Pendulum, Speed-gradient",
author = "Fradkov, {A. L.} and Dolgopolik, {M. V.}",
year = "2017",
month = aug,
doi = "10.1016/j.nahs.2017.03.005",
language = "Английский",
volume = "25",
pages = "99--113",
journal = "Nonlinear Analysis: Hybrid Systems",
issn = "1751-570X",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Nonsmooth and discontinuous speed-gradient algorithms

AU - Fradkov, A. L.

AU - Dolgopolik, M. V.

PY - 2017/8

Y1 - 2017/8

N2 - In this article, nonsmooth extensions of the Speed-Gradient (SG) algorithms in differential and finite forms are proposed. The conditions ensuring achievement of the control goal (convergence of the goal function to zero) are established. Furthermore, conditions under which the control goal is achieved in finite time with the use of nonsmooth or discontinuous SG algorithms are obtained. Theoretical results are illustrated by example of nonsmooth energy-based control for a non-affine in control pendulum-like system.

AB - In this article, nonsmooth extensions of the Speed-Gradient (SG) algorithms in differential and finite forms are proposed. The conditions ensuring achievement of the control goal (convergence of the goal function to zero) are established. Furthermore, conditions under which the control goal is achieved in finite time with the use of nonsmooth or discontinuous SG algorithms are obtained. Theoretical results are illustrated by example of nonsmooth energy-based control for a non-affine in control pendulum-like system.

KW - Finite-time convergence

KW - Nonsmooth systems

KW - Pendulum

KW - Speed-gradient

UR - http://www.scopus.com/inward/record.url?scp=85016727804&partnerID=8YFLogxK

U2 - 10.1016/j.nahs.2017.03.005

DO - 10.1016/j.nahs.2017.03.005

M3 - статья

AN - SCOPUS:85016727804

VL - 25

SP - 99

EP - 113

JO - Nonlinear Analysis: Hybrid Systems

JF - Nonlinear Analysis: Hybrid Systems

SN - 1751-570X

ER -

ID: 13387446