Suboptimization of Singularly Perturbed Control Systems
- 1 September 1992
- journal article
- research article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Control and Optimization
- Vol. 30 (5) , 1228-1249
- https://doi.org/10.1137/0330065
Abstract
A technique different from the boundary layer method is developed to deal with singularly perturbed optimal control problems. The technique is applicable, in particular, in the case when the optimal control takes the form of "fast" oscillations and the boundary layer method cannot be used. Necessary and sufficient conditions for the optimal control to be "slow" are given. The results are illustrated by examples.Keywords
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