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Singular perturbations and optimal control

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Mathematical Control Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 680))

Abstract

These lecture notes are intended to provide an elementary account of some of the recent mathematical effort in applying singular perturbations theory to optimal control problems, to demonstrate the practical importance of this asymptotic technique to current engineering studies, and to suggest several open problems needing further research. Readers are referred to the survey article by Kokotovic, O'Malley, and Sannuti for a discussion of related topics and for additional references.

Supported, in part, by the Office of Naval Research under Contract No. N0014-76-C-0326.

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O'Malley, R.E. (1978). Singular perturbations and optimal control. In: Coppel, W.A. (eds) Mathematical Control Theory. Lecture Notes in Mathematics, vol 680. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065317

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  • DOI: https://doi.org/10.1007/BFb0065317

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