Characterization of the optimal trajectories for the averaged dynamics associated to singularly perturbed control systems

The aim of this paper is to study singularly perturbed control systems. Firstly, we provide linearized formulation version for the calculus of the value function associated with the averaged dynamics. Secondly, we obtain necessary and sufficient conditions in order to identify the optimal trajectory of the averaged system.

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Field	Value
Source	https://hal.science/hal-00933680
Author	Serea, Oana Silvia
Maintainer	CCSD
Last Updated	May 7, 2026, 08:18 (UTC)
Created	May 7, 2026, 08:18 (UTC)
Identifier	hal-00933680
Language	en
Rights	https://about.hal.science/hal-authorisation-v1/
contributor	LAboratoire de Modélisation Pluridisciplinaire et Simulations (LAMPS) ; Université de Perpignan Via Domitia (UPVD)
creator	Serea, Oana Silvia
date	2014-01-20T00:00:00
harvest_object_id	bed10736-f93b-4e2a-8307-7702e474eb1d
harvest_source_id	3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title	test moissonnage SELUNE
metadata_modified	2024-04-18T00:00:00
set_spec	type:REPORT