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

Vladimir Gaitsgory; Minh Tuan Nguyen

doi:10.1137/S0363012901393055

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

Vladimir Gaitsgory^*, Minh Tuan Nguyen

^*Corresponding author for this work

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

32 Citations (Scopus)

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
Pages (from-to)	954-974
Number of pages	21
Journal	SIAM Journal on Control and Optimization
Volume	41
Issue number	3
DOIs	https://doi.org/10.1137/S0363012901393055
Publication status	Published - 2003
Externally published	Yes

Keywords

Approximation of slow motions
Averaging method
Limit occupational measures sets
Multiscale singularly perturbed control systems
Nonlinear control
Occupational measures

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10.1137/S0363012901393055

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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 = "Approximation of slow motions, Averaging method, Limit occupational measures sets, Multiscale singularly perturbed control systems, Nonlinear control, Occupational measures",

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

year = "2003",

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T2 - Limit occupational measures sets and averaging

AU - Gaitsgory, Vladimir

AU - Nguyen, Minh Tuan

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KW - Approximation of slow motions

KW - Averaging method

KW - Limit occupational measures sets

KW - Multiscale singularly perturbed control systems

KW - Nonlinear control

KW - Occupational measures

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U2 - 10.1137/S0363012901393055

DO - 10.1137/S0363012901393055

M3 - Article

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JO - SIAM Journal on Control and Optimization

JF - SIAM Journal on Control and Optimization

SN - 0363-0129

IS - 3

ER -

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

Abstract

Keywords

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