Browsing by Author "Altafini, Claudio"

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    Almost Global Stochastic Feedback Stabilization of Conditional Quantum Dynamics
    (2005) Altafini, Claudio; Ticozzi, Francesco; Mathematics; Functional Analysis and Applications
    We propose several parametrization-free solutions to the problem of quantum state reduction control by means of continuous measurement and smooth quantum feedback. In particular, we design a feedback law for which almost global stochastic feedback stabilization can be proved analytically by means of Lyapunov techinques. This synthesis arises very naturally from the physics of the problem, as it relies on the variance associated with the quantum filtering process.
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    Feedback control of spin systems
    (2006-04-12T07:08:54Z) Altafini, Claudio; Mathematics; Functional Analysis and Applications
    The feedback stabilization problem for ensembles of coupled spin 1/2 systems is discussed from a control theoretic perspective. The noninvasive nature of the bulk measurement allows for a fully unitary and deterministic closed loop. The Lyapunov-based feedback design presented does not require spins that are selectively addressable. With this method, it is possible to obtain control inputs also for difficult tasks, like suppressing undesired couplings in identical spin systems.