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The paper analyzes the optimal response of an individual consumer, with a deferrable demand for electricity, to exogenous stochastic prices. The main goal of the paper is (i) to introduce a model where many realistic features are taken into account (such as the presence of bounds on power consumption, the possibility of curtailment, and time correlation in the price process) (ii) determine an explicit...
Global asymptotic stabilization of quantum pure states is relevant to chemical process control, quantum cooling, state purification, and is crucial to the initialization of quantum information processing algorithms. We provide a linear-algebraic characterization of discrete-time Markovian dynamics leading to invariance and attractivity of a given quantum state. Assuming that the system is unitarily...
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