Guaranteed non-quadratic performance for quantum systems with nonlinear uncertainties

Guaranteed non-quadratic performance for quantum systems with nonlinear uncertainties
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具有非线性不确定性的量子系统的保证非二次性能

DOI:
10.1109/acc.2014.6858903
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发表时间:
2014
期刊:
2014 American Control Conference
影响因子:
--
通讯作者:
I. Petersen
I. Petersen
中科院分区:
--
文献类型:
--
作者:
I. Petersen

文献摘要

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本文给出了一类不确定量子系统的鲁棒性能分析结果,该系统包含由系统哈密顿量的扰动引起的扇区有界非线性。给出了一个计算非二次代价函数保上界的LMI条件。这一结果说明了一个例子,涉及约瑟夫森结中的电磁腔。
This paper presents a robust performance analysis result for a class of uncertain quantum systems containing sector bounded nonlinearities arising from perturbations to the system Hamiltonian. An LMI condition is given for calculating a guaranteed upper bound on a non-quadratic cost function. This result is illustrated with an example involving a Josephson junction in an electromagnetic cavity.