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- W4298368049 abstract "Feedback stabilization of an ensemble of non interacting half spins described by Bloch equations is considered. This system may be seen as a prototype for infinite dimensional systems with continuous spectrum. We propose an explicit feedback law that stabilizes asymptotically the system around a uniform state of spin +1/2 or -1/2. The proof of the convergence is done locally around the equilibrium in the H^1 topology. This local convergence is shown to be a weak asymptotic convergence for the H^1 topology and thus a strong convergence for the C^0 topology. The proof relies on an adaptation of the LaSalle invariance principle to infinite dimensional systems. Numerical simulations illustrate the efficiency of these feedback laws, even for initial conditions far from the equilibrium" @default.
- W4298368049 created "2022-10-02" @default.
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- W4298368049 date "2010-07-08" @default.
- W4298368049 modified "2023-09-30" @default.
- W4298368049 title "Stabilization for an ensemble of half-spin systems" @default.
- W4298368049 doi "https://doi.org/10.48550/arxiv.1007.1334" @default.
- W4298368049 hasPublicationYear "2010" @default.
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