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Averaging method for discontinuous Mayer's problem of singularly perturbed control systems

✍ Scribed by M. Quincampoix; F. Watbled

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
190 KB
Volume
54
Category
Article
ISSN
0362-546X

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✦ Synopsis

In the present paper, we prove that the optimal cost of a Mayer's problem for a control system with singular perturbation does converge to the optimal cost of a Mayer's problem associated with control system obtained by averaging. The main novelty of our result lies on the fact that we did not require any continuity assumption on the ΓΏnal cost.

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