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

29 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

Access to Document

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",

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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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JF - SIAM Journal on Control and Optimization

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