The asymptotic expansion for a class of non-linear singularly perturbed problems with optimal control

DOI10.22436/JNSA.009.05.68zbMath1344.49038OpenAlexW2792787028MaRDI QIDQ2812340

Han Xu, Yin Lai Jin

Publication date: 16 June 2016

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: http://www.tjnsa.com/includes/files/articles/Vol9_Iss5_2718--2726_The_asymptotic_expansion_for_a_clas.pdf

zbMATH Keywords

optimal controlasymptotic expansionsingular perturbationsheteroclinic orbitboundary layerHamilton functions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Existence theories for optimal control problems involving ordinary differential equations (49J15) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Optimality conditions for problems involving ordinary differential equations (49K15)

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