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Robust Set Stabilization and Its Instances for Open Quantum Systems |
| Ming Zhang1, Zairong Xi2, Tzyh-Jong Tarn3 |
1College of Artificial Intelligence, National University of Defense Technology, Changsha 410073
2Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190
3Department of Electrical and Systems Engineering, Washington University in St. Louis, MO 63130-4899, USA
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| Cite this article: |
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Ming Zhang, Zairong Xi, Tzyh-Jong Tarn 2018 Chin. Phys. Lett. 35 090301 |
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Abstract We propose and discuss a novel concept of robust set stabilization by permissible controls; this concept is helpful when dealing with both a priori information of model parameters and different permissible controls including quantum measurements. Both controllability and stabilization can be regarded as the special case of the novel concept. An instance is presented for a kind of uncertain open quantum systems to further justify this generalized concept. It is underlined that a new type of hybrid control based on periodically perturbed projective measurements can be the permissible control of uncertain open quantum systems when perturbed projective measurements are available. The sufficient conditions are given for the robust set stabilization of uncertain quantum open systems by the hybrid control, and the design of the hybrid control is reduced to selecting the period of measurements.
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Received: 21 May 2018
Published: 29 August 2018
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| Fund: Supported by the National Natural Science Foundation of China under Grant Nos 61673389, 61273202 and 61134008. |
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