Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
Modeling and optimization problems of charged particle beams dynamics. / Ovsyannikov, D. A.
ECC 1997 - European Control Conference. Institute of Electrical and Electronics Engineers Inc., 1997. p. 1463-1467 7082307.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
}
TY - GEN
T1 - Modeling and optimization problems of charged particle beams dynamics
AU - Ovsyannikov, D. A.
PY - 1997/4/8
Y1 - 1997/4/8
N2 - Nowadays mathematical methods of modeling and optimization are extensively used in many fields of science and technology. Development of specialized software for various applications are of more and more importance. A special class of the problems attracting attention of numerous researches is represented by the problems associated with the beam dynamics formation in accelerators. The paper deals with optimization problems of charged particle beam in accelerators. The theory of the optimal beam dynamics formation in both accelerating and focusing structures is suggested. Different mathematical control models describing beam dynamics are presented. Especially we consider the problems connected with taking into account of charged particles interaction. The optimization methods are developed for the presented functionals. They are used for the solving of various beam dynamics problems in different accelerating and focusing structures. It should be noted that the problems under consideration are closely connected with the trajectory ensembles (bundles) control. The problems of the trajectory ensembles control have been recently developed by various authors. This is largely due to the interest in the nonstandard problems of the optimal control theory having a variety of applications. Such problems are often treated as the problems under incomplete information on the initial date and external influences.
AB - Nowadays mathematical methods of modeling and optimization are extensively used in many fields of science and technology. Development of specialized software for various applications are of more and more importance. A special class of the problems attracting attention of numerous researches is represented by the problems associated with the beam dynamics formation in accelerators. The paper deals with optimization problems of charged particle beam in accelerators. The theory of the optimal beam dynamics formation in both accelerating and focusing structures is suggested. Different mathematical control models describing beam dynamics are presented. Especially we consider the problems connected with taking into account of charged particles interaction. The optimization methods are developed for the presented functionals. They are used for the solving of various beam dynamics problems in different accelerating and focusing structures. It should be noted that the problems under consideration are closely connected with the trajectory ensembles (bundles) control. The problems of the trajectory ensembles control have been recently developed by various authors. This is largely due to the interest in the nonstandard problems of the optimal control theory having a variety of applications. Such problems are often treated as the problems under incomplete information on the initial date and external influences.
KW - Beam dynamics
KW - Integro-differential equations
KW - Modeling
KW - Optimization
KW - With initial conditions control
UR - http://www.scopus.com/inward/record.url?scp=84949096174&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84949096174
SP - 1463
EP - 1467
BT - ECC 1997 - European Control Conference
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 4th European Control Conference, ECC 1997
Y2 - 1 July 1997 through 4 July 1997
ER -
ID: 32916893