On a representation of the limit occupational measures set of a control system with applications to singularly perturbed control systems

Vladimir Gaitsgory

doi:10.1137/S0363012903424186

On a representation of the limit occupational measures set of a control system with applications to singularly perturbed control systems

Vladimir Gaitsgory^*

^*Corresponding author for this work

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

46 Citations (Scopus)

Abstract

A representation of the limit occupational measures set of a control system in terms of the vector function defining the system's dynamics is established. Applications in averaging of singularly perturbed control systems are demonstrated.

Original language	English
Pages (from-to)	325-340
Number of pages	16
Journal	SIAM Journal on Control and Optimization
Volume	43
Issue number	1
DOIs	https://doi.org/10.1137/S0363012903424186
Publication status	Published - 2005
Externally published	Yes

Keywords

Approximation of slow motions
Averaging method
Limit occupational measures sets
Occupational measures
Singularly perturbed control systems

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10.1137/S0363012903424186

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keywords = "Approximation of slow motions, Averaging method, Limit occupational measures sets, Occupational measures, Singularly perturbed control systems",

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KW - Singularly perturbed control systems

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On a representation of the limit occupational measures set of a control system with applications to singularly perturbed control systems

Abstract

Keywords

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