Asymptotic Expansions of Singularly Perturbed Quasi-Linear Optimal Systems
- 1 May 1975
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Control
- Vol. 13 (3), 572-592
- https://doi.org/10.1137/0313033
Abstract
A class of two-point boundary value problems (TPBVP’s) which arise in fixed final time free endpoint optimal control problems is considered. An asymptotic power series solution of the TPBVP is constructed with respect to a parameter whose perturbation changes the differential order of the problem. Based on a stability hypothesis, the proof of asymptotic correctness is accomplished through a successive approximation scheme.Keywords
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