2,447 research outputs found
Exponential stability for infinite-dimensional non-autonomous port-Hamiltonian Systems
We study the non-autonomous version of an infinite-dimensional
port-Hamiltonian system on an interval . Employing abstract results on
evolution families, we show -well-posedness of the corresponding Cauchy
problem, and thereby existence and uniqueness of classical solutions for
sufficiently regular initial data. Further, we demonstrate that a dissipation
condition in the style of the dissipation condition sufficient for uniform
exponential stability in the autonomous case also leads to a uniform
exponential decay of the energy in this non-autonomous setting
Switching Quantum Dynamics for Fast Stabilization
Control strategies for dissipative preparation of target quantum states, both
pure and mixed, and subspaces are obtained by switching between a set of
available semigroup generators. We show that the class of problems of interest
can be recast, from a control--theoretic perspective, into a
switched-stabilization problem for linear dynamics. This is attained by a
suitable affine transformation of the coherence-vector representation. In
particular, we propose and compare stabilizing time-based and state-based
switching rules for entangled state preparation, showing that the latter not
only ensure faster convergence with respect to non-switching methods, but can
designed so that they retain robustness with respect to initialization, as long
as the target is a pure state or a subspace.Comment: 15 pages, 4 figure
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