Order reduction is invalid for singularly perturbed control problems with a vector fast variable

DOI10.1007/s004980200004zbMath1004.49026OpenAlexW1988039395MaRDI QIDQ1611000

Arie Leizarowitz

Publication date: 11 February 2003

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s004980200004

zbMATH Keywords

averaging techniquevalue functionorder reduction approachsingularly perturbed optimal control systemsvariational limit problem

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Fuzzy and other nonstochastic uncertainty mathematical programming (90C70)

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 ⋮ Averaging and linear programming in some singularly perturbed problems of optimal control

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