Stabilization of an arbitrary profile for an ensemble of half-spin systems

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Stabilization of an arbitrary profile for an ensemble of half-spin systems

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Stabilization for an ensemble of half-spin systems

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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 closed-loop stability analysis is done locally around the eq...

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ژورنال

عنوان ژورنال: Automatica

سال: 2013

ISSN: 0005-1098

DOI: 10.1016/j.automatica.2013.03.011