Standard

Finding the distance between the ellipsoid and the intersection of a linear manifold and ellipsoid. / Tamasyan, G.; Chumakov, A.; Zhabko, A. P. (Editor); Petrosyan, L.A. (Editor).

"Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015 International Conference. Institute of Electrical and Electronics Engineers Inc., 2015. p. 357-360.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Harvard

Tamasyan, G, Chumakov, A, Zhabko, AP (ed.) & Petrosyan, LA (ed.) 2015, Finding the distance between the ellipsoid and the intersection of a linear manifold and ellipsoid. in "Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015 International Conference. Institute of Electrical and Electronics Engineers Inc., pp. 357-360. https://doi.org/10.1109/SCP.2015.7342138

APA

Tamasyan, G., Chumakov, A., Zhabko, A. P. (Ed.), & Petrosyan, L. A. (Ed.) (2015). Finding the distance between the ellipsoid and the intersection of a linear manifold and ellipsoid. In "Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015 International Conference (pp. 357-360). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SCP.2015.7342138

Vancouver

Tamasyan G, Chumakov A, Zhabko AP, (ed.), Petrosyan LA, (ed.). Finding the distance between the ellipsoid and the intersection of a linear manifold and ellipsoid. In "Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015 International Conference. Institute of Electrical and Electronics Engineers Inc. 2015. p. 357-360 https://doi.org/10.1109/SCP.2015.7342138

Author

Tamasyan, G. ; Chumakov, A. ; Zhabko, A. P. (Editor) ; Petrosyan, L.A. (Editor). / Finding the distance between the ellipsoid and the intersection of a linear manifold and ellipsoid. "Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015 International Conference. Institute of Electrical and Electronics Engineers Inc., 2015. pp. 357-360

BibTeX

@inproceedings{cc8321d986cb466faef817c340ba971c,
title = "Finding the distance between the ellipsoid and the intersection of a linear manifold and ellipsoid",
abstract = "The problem of finding the closest points between an ellipsoid and an intersection of a linear manifold and an ellipsoid is considered. In particular, this problem includes a problem of finding the minimum distance between the ellipsoid and the ellipse. The original constrained optimization problem is reduced to the unconstrained one by means of the theory of exact penalty functions. Constructed exact penalty function is nonsmooth and belongs to the class of hypodifferentiable. Hypodifferential calculus is implied for its study and steepest hypodifferential descent is used to find its stationary points.",
keywords = "differential equationsellipsoid manifoldhypodifferential calculuslinear manifoldoptimization problempenalty functionsCalculusElectronic mailEllipsoidsManifoldsMeasurementMinimizationOptimization",
author = "G. Tamasyan and A. Chumakov and Zhabko, {A. P.} and L.A. Petrosyan",
year = "2015",
doi = "10.1109/SCP.2015.7342138",
language = "English",
isbn = "9781467376983",
pages = "357--360",
booktitle = "{"}Stability and Control Processes{"} in Memory of V.I. Zubov (SCP), 2015 International Conference",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
address = "United States",

}

RIS

TY - GEN

T1 - Finding the distance between the ellipsoid and the intersection of a linear manifold and ellipsoid

AU - Tamasyan, G.

AU - Chumakov, A.

A2 - Zhabko, A. P.

A2 - Petrosyan, L.A.

PY - 2015

Y1 - 2015

N2 - The problem of finding the closest points between an ellipsoid and an intersection of a linear manifold and an ellipsoid is considered. In particular, this problem includes a problem of finding the minimum distance between the ellipsoid and the ellipse. The original constrained optimization problem is reduced to the unconstrained one by means of the theory of exact penalty functions. Constructed exact penalty function is nonsmooth and belongs to the class of hypodifferentiable. Hypodifferential calculus is implied for its study and steepest hypodifferential descent is used to find its stationary points.

AB - The problem of finding the closest points between an ellipsoid and an intersection of a linear manifold and an ellipsoid is considered. In particular, this problem includes a problem of finding the minimum distance between the ellipsoid and the ellipse. The original constrained optimization problem is reduced to the unconstrained one by means of the theory of exact penalty functions. Constructed exact penalty function is nonsmooth and belongs to the class of hypodifferentiable. Hypodifferential calculus is implied for its study and steepest hypodifferential descent is used to find its stationary points.

KW - differential equationsellipsoid manifoldhypodifferential calculuslinear manifoldoptimization problempenalty functionsCalculusElectronic mailEllipsoidsManifoldsMeasurementMinimizationOptimization

U2 - 10.1109/SCP.2015.7342138

DO - 10.1109/SCP.2015.7342138

M3 - Conference contribution

SN - 9781467376983

SP - 357

EP - 360

BT - "Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015 International Conference

PB - Institute of Electrical and Electronics Engineers Inc.

ER -

ID: 3984512