Standard

New mathematical optimization models for RFQ structures. / Bondarev, B. I.; Durkin, A. P.; Ovsyannikov, A. D.

1999. 2808-2810 Paper presented at The 18th Biennial Particle Accelerator Conference, New York, NY, USA.

Research output: Contribution to conference › Paper › peer-review

Harvard

Bondarev, BI, Durkin, AP & Ovsyannikov, AD 1999, 'New mathematical optimization models for RFQ structures', Paper presented at The 18th Biennial Particle Accelerator Conference, New York, NY, USA, 27/03/99 - 2/04/99 pp. 2808-2810.

APA

Bondarev, B. I., Durkin, A. P., & Ovsyannikov, A. D. (1999). New mathematical optimization models for RFQ structures. 2808-2810. Paper presented at The 18th Biennial Particle Accelerator Conference, New York, NY, USA.

Vancouver

Bondarev BI, Durkin AP, Ovsyannikov AD. New mathematical optimization models for RFQ structures. 1999. Paper presented at The 18th Biennial Particle Accelerator Conference, New York, NY, USA.

Author

Bondarev, B. I. ; Durkin, A. P. ; Ovsyannikov, A. D. / New mathematical optimization models for RFQ structures. Paper presented at The 18th Biennial Particle Accelerator Conference, New York, NY, USA.3 p.

BibTeX

@conference{6cf5f167c6564bbd9595f00d559bace5,
title = "New mathematical optimization models for RFQ structures",
abstract = "Conventional approach to the designing of controlled systems is to start with calculation of program motion and to continue afterwards by examining perturbed motions using equations in deviations. It does not always, however, result in desirable outcomes. Thus, while analyzing perturbed motions, which depend significantly on the program motion, it can happen, that dynamical characteristics of obtained perturbed motions are not satisfactory. This paper suggests new mathematical models, which allow joint optimization of program motion and an ensemble of perturbed motions. These mathematical models include description of controlled dynamical process, choice of control functions or parameters of optimization as well as construction of quality functionals, which allow efficient evaluation of various characteristics of examined control motions. This optimization problem is considered as the problem of mathematical control theory. The suggested approach allows to develop various methods of directed search and to conduct parallel optimization of program and perturbed motions. Suggested approach is applied to the optimization of RFQ channel. Simple model for description of beam longitudinal motion in the equivalent running wave is suggested. For the estimation of beam dynamics corresponding functionals are suggested.",
author = "Bondarev, {B. I.} and Durkin, {A. P.} and Ovsyannikov, {A. D.}",
year = "1999",
month = dec,
day = "1",
language = "English",
pages = "2808--2810",
note = "The 18th Biennial Particle Accelerator Conference ; Conference date: 27-03-1999 Through 02-04-1999",

}

RIS

TY - CONF

T1 - New mathematical optimization models for RFQ structures

AU - Bondarev, B. I.

AU - Durkin, A. P.

AU - Ovsyannikov, A. D.

PY - 1999/12/1

Y1 - 1999/12/1

N2 - Conventional approach to the designing of controlled systems is to start with calculation of program motion and to continue afterwards by examining perturbed motions using equations in deviations. It does not always, however, result in desirable outcomes. Thus, while analyzing perturbed motions, which depend significantly on the program motion, it can happen, that dynamical characteristics of obtained perturbed motions are not satisfactory. This paper suggests new mathematical models, which allow joint optimization of program motion and an ensemble of perturbed motions. These mathematical models include description of controlled dynamical process, choice of control functions or parameters of optimization as well as construction of quality functionals, which allow efficient evaluation of various characteristics of examined control motions. This optimization problem is considered as the problem of mathematical control theory. The suggested approach allows to develop various methods of directed search and to conduct parallel optimization of program and perturbed motions. Suggested approach is applied to the optimization of RFQ channel. Simple model for description of beam longitudinal motion in the equivalent running wave is suggested. For the estimation of beam dynamics corresponding functionals are suggested.

AB - Conventional approach to the designing of controlled systems is to start with calculation of program motion and to continue afterwards by examining perturbed motions using equations in deviations. It does not always, however, result in desirable outcomes. Thus, while analyzing perturbed motions, which depend significantly on the program motion, it can happen, that dynamical characteristics of obtained perturbed motions are not satisfactory. This paper suggests new mathematical models, which allow joint optimization of program motion and an ensemble of perturbed motions. These mathematical models include description of controlled dynamical process, choice of control functions or parameters of optimization as well as construction of quality functionals, which allow efficient evaluation of various characteristics of examined control motions. This optimization problem is considered as the problem of mathematical control theory. The suggested approach allows to develop various methods of directed search and to conduct parallel optimization of program and perturbed motions. Suggested approach is applied to the optimization of RFQ channel. Simple model for description of beam longitudinal motion in the equivalent running wave is suggested. For the estimation of beam dynamics corresponding functionals are suggested.

UR - http://www.scopus.com/inward/record.url?scp=0033311558&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:0033311558

SP - 2808

EP - 2810

T2 - The 18th Biennial Particle Accelerator Conference

Y2 - 27 March 1999 through 2 April 1999

ER -

ID: 42884366