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Based on the analysis of the invariant set in quantum Lyapunov control under a performance index with degrees of freedom, the population control of eigenstates is studied. For isolated target eigenstates, this paper shows the existence of the degrees of freedom that guarantee exact convergence and obtains rigorous construction relation of those degrees of freedom. For non-isolated target eigenstates,...
The present paper introduces an algorithmic construction of the maximal invariant set for a PWA (piecewise affine) system. The classical analysis of this type of dynamical systems is based on the construction of a Lyapunov function which lead subsequently to the invariant set description by means of the Lyapunov function level sets. As an alternative, expansive/contractive schemes exploit the global...
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