Operators arising as Second Variation of optimal control problems and their spectral asymptotics

Stefano Baranzini

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arXiv · 2107.12290

Operators arising as Second Variation of optimal control problems and their spectral asymptotics

Stefano Baranzini

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Abstract

We compute the asymptotic for the eigenvalues of a particular class of compact operators deeply linked with the second variation of optimal control problems. We characterize this family in terms of a set of finite dimensional data and we apply this results to a particular class of singular extremal to get a nice description of the spectrum of the second variation.

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Stefano Baranzini. 2021-07-26. Operators arising as Second Variation of optimal control problems and their spectral asymptotics. https://arxiv.org/abs/2107.12290

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