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.
Operators arising as second variation of optimal control problems and their spectral asymptotics / Baranzini, Stefano. - In: JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS. - ISSN 1079-2724. - 29:(2023), pp. 659-689. [10.1007/s10883-022-09605-1]
Operators arising as second variation of optimal control problems and their spectral asymptotics
Baranzini, Stefano
2023-01-01
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.File in questo prodotto:
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