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math.OC2022
On Dirac structure of infinite-dimensional stochastic port-Hamiltonian systems
François Lamoline, Anthony Hastir
Stochastic infinite-dimensional port-Hamiltonian systems (SPHSs) with multiplicative Gaussian white noise are considered. In this article we extend the notion of Dirac structure fo…
math.FA2022
Well-posedness and observability of Sturm-Liouville systems on a class of Hilbert spaces
Anthony Hastir, Judicaël Mohet, Joseph J. Winkin
The class of Sturm-Liouville operators on the space of square integrable functions on a finite interval is considered. According to the Riesz-spectral property, the self-adjointnes…