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

DOI10.1016/j.jde.2013.08.008zbMath1290.34064OpenAlexW2034575062MaRDI QIDQ2637801

Oana-Silvia Serea

Publication date: 14 February 2014

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2013.08.008

zbMATH Keywords

optimal controlsingular perturbationsaveraging methodoccupational measures

Mathematics Subject Classification ID

Time-scale analysis and singular perturbations in control/observation systems (93C70) Control problems involving ordinary differential equations (34H05) Averaging method for ordinary differential equations (34C29) Singular perturbations for ordinary differential equations (34E15) Existence theories in calculus of variations and optimal control (49J99)

Related Items (4)

On numerical solution of singularly perturbed optimal control problems ⋮ On Near Optimal Control of Systems with Slow Observables ⋮ On average control generating families for singularly perturbed optimal control problems with long run average optimality criteria ⋮ Reflected dynamics: viscosity analysis for \(\mathbb{L}^\infty\) cost, relaxation and abstract dynamic programming

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