Multiscale singularly perturbed control systems: limit occupational measures sets and averaging

Vladimir Gaitsgory; Minh Tuan Nguyen

doi:10.1109/CDC.2003.1272695

Multiscale singularly perturbed control systems: limit occupational measures sets and averaging

Vladimir Gaitsgory^*, Minh Tuan Nguyen

^*Corresponding author for this work

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

Abstract

An averaging technique for nonlinear multiscale singularly perturbed control systems is developed. Issues concerning the existence and structure of limit occupational measures sets generated by such systems are discussed. General results are illustrated with special cases.

Original language	English
Title of host publication	Proceedings of the IEEE Conference on Decision and Control
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	984-989
Number of pages	6
Volume	6
ISBN (Electronic)	0780379241
ISBN (Print)	0780379241
DOIs	https://doi.org/10.1109/CDC.2003.1272695 https://doi.org/10.1109/CDC.2003.1272695
Publication status	Published - Dec 2003
Externally published	Yes
Event	42nd IEEE Conference on Decision and Control - Maui, United States Duration: 9 Dec 2003 → 12 Dec 2003

Conference

Conference	42nd IEEE Conference on Decision and Control
Country/Territory	United States
City	Maui
Period	9/12/03 → 12/12/03

Keywords

DIFFERENTIAL-INCLUSIONS
PERTURBATIONS
DYNAMICS

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Gaitsgory, V., & Nguyen, M. T. (2003). Multiscale singularly perturbed control systems: limit occupational measures sets and averaging. In Proceedings of the IEEE Conference on Decision and Control (Vol. 6, pp. 984-989). Article TuMPI-2 Institute of Electrical and Electronics Engineers (IEEE). https://doi.org/10.1109/CDC.2003.1272695, https://doi.org/10.1109/CDC.2003.1272695

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title = "Multiscale singularly perturbed control systems: limit occupational measures sets and averaging",

abstract = "An averaging technique for nonlinear multiscale singularly perturbed control systems is developed. Issues concerning the existence and structure of limit occupational measures sets generated by such systems are discussed. General results are illustrated with special cases.",

keywords = "DIFFERENTIAL-INCLUSIONS, PERTURBATIONS, DYNAMICS",

author = "Vladimir Gaitsgory and Nguyen, \{Minh Tuan\}",

year = "2003",

month = dec,

doi = "10.1109/CDC.2003.1272695",

language = "English",

isbn = "0780379241",

volume = "6",

pages = "984--989",

booktitle = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers (IEEE)",

address = "United States",

note = "42nd IEEE Conference on Decision and Control ; Conference date: 09-12-2003 Through 12-12-2003",

}

Gaitsgory, V & Nguyen, MT 2003, Multiscale singularly perturbed control systems: limit occupational measures sets and averaging. in Proceedings of the IEEE Conference on Decision and Control. vol. 6, TuMPI-2, Institute of Electrical and Electronics Engineers (IEEE), Piscataway, NJ, pp. 984-989, 42nd IEEE Conference on Decision and Control, Maui, Hawaii, United States, 9/12/03. https://doi.org/10.1109/CDC.2003.1272695, https://doi.org/10.1109/CDC.2003.1272695

Multiscale singularly perturbed control systems: limit occupational measures sets and averaging. / Gaitsgory, Vladimir; Nguyen, Minh Tuan.
Proceedings of the IEEE Conference on Decision and Control. Vol. 6 Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE), 2003. p. 984-989 TuMPI-2.

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

TY - GEN

T1 - Multiscale singularly perturbed control systems

T2 - 42nd IEEE Conference on Decision and Control

AU - Gaitsgory, Vladimir

AU - Nguyen, Minh Tuan

PY - 2003/12

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N2 - An averaging technique for nonlinear multiscale singularly perturbed control systems is developed. Issues concerning the existence and structure of limit occupational measures sets generated by such systems are discussed. General results are illustrated with special cases.

AB - An averaging technique for nonlinear multiscale singularly perturbed control systems is developed. Issues concerning the existence and structure of limit occupational measures sets generated by such systems are discussed. General results are illustrated with special cases.

KW - DIFFERENTIAL-INCLUSIONS

KW - PERTURBATIONS

KW - DYNAMICS

UR - https://www.scopus.com/pages/publications/1542299181

U2 - 10.1109/CDC.2003.1272695

DO - 10.1109/CDC.2003.1272695

M3 - Conference proceeding contribution

AN - SCOPUS:1542299181

SN - 0780379241

VL - 6

SP - 984

EP - 989

BT - Proceedings of the IEEE Conference on Decision and Control

PB - Institute of Electrical and Electronics Engineers (IEEE)

CY - Piscataway, NJ

Y2 - 9 December 2003 through 12 December 2003

ER -

Multiscale singularly perturbed control systems: limit occupational measures sets and averaging

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