Asymptotic Solution of a Singularly Perturbed Optimal Problem with Integral Constraint

Thi Hoai Nguyen ()
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Thi Hoai Nguyen: University of Science, Vietnam National University, Hanoi

Journal of Optimization Theory and Applications, 2021, vol. 190, issue 3, No 10, 950 pages

Abstract: Abstract Using the so-called direct scheme method, an asymptotic expansion of n-th order to the solution of a class of singularly perturbed linear-quadratic optimal problem with integral constraint on control is constructed. The expansion contains three type functions. Two of them are boundary layer functions in the vicinities of two fixed end-points, and the remain is regular function. A numerical example is represented to illustrate the obtained results.

Keywords: Singular perturbation; Optimal control; Asymptotic approximation; Direct scheme method; Integral constraint; 49K15; 49J21; 34E05; 34E10 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s10957-021-01916-w

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