QC2021c.pdf (3.41 MB)

# Exponential stabilization of spin-1/2 systems based on switching state feedback

preprint
posted on 11.03.2021, 00:47 by Jie WenJie Wen, Yuanhao Shi, Jianfang Jia, Jianchao Zeng
The exponential stabilization of eigenstates by using switching state feedback strategy for quantum spin-$\frac{1}{2}$ systems is considered in this paper. In order to obtain faster state exponential convergence, we divide the state space into two subspaces, and use two different continuous state feedback controls in the corresponding subspace. The two continuous state feedback controls form the switching state feedback, under which the state convergence is faster than that under continuous state feedback. The exponential convergence and the superiority of switching state feedback are proved in theory and verified in numerical simulations. Besides, the influence of the control parameter on the state convergence rate is also studied.

## Email Address of Submitting Author

wenjie015@gmail.com

## ORCID of Submitting Author

0000-0003-0302-4123

## Submitting Author's Institution

North University of China

China

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