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Internal layer solutions of singularly perturbed optimal control problems. (Chinese. English summary) Zbl 1274.49004

Summary: A class of singularly perturbed optimal control problems are studied by a direct scheme method, which is based on the boundary function method. The internal layer solution is proved to be existing, and the uniformly valid asymptotic solutions for the singularly perturbed optimal control problems are constructed.

MSC:

49J15 Existence theories for optimal control problems involving ordinary differential equations
93C70 Time-scale analysis and singular perturbations in control/observation systems
34K35 Control problems for functional-differential equations
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