Switching Controls for Conservative Bilinear Quantum Systems with Discrete Spectrum

IF 2.2 2区数学 Q2 AUTOMATION & CONTROL SYSTEMS

SIAM Journal on Control and Optimization Pub Date : 2024-05-07 DOI:10.1137/23m1588494

Nabile Boussaïd, Marco Caponigro, Thomas Chambrion

引用次数: 0

Abstract

SIAM Journal on Control and Optimization, Ahead of Print.
Abstract. We analyze attainable sets of single-input bilinear conservative systems with piecewise constant controls. Under the assumption that the ambient space admits a Hilbert basis made of eigenvectors of the drift operator, we show that the closure of the attainable set does not depend on the set of admissible controls, provided the controls can take at least two or three values.

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具有离散频谱的保守双线性量子系统的开关控制

SIAM 控制与优化期刊》，提前印刷。摘要我们分析了具有片断常数控制的单输入双线性保守系统的可实现集。在假设环境空间允许一个由漂移算子特征向量构成的希尔伯特基的情况下，我们证明了可实现集的闭合与可接受控制集无关，前提是控制至少可以取两个或三个值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

SIAM Journal on Control and Optimization 数学-应用数学

CiteScore

4.00

自引率

4.50%

发文量

143

审稿时长

12 months

期刊介绍： SIAM Journal on Control and Optimization (SICON) publishes original research articles on the mathematics and applications of control theory and certain parts of optimization theory. Papers considered for publication must be significant at both the mathematical level and the level of applications or potential applications. Papers containing mostly routine mathematics or those with no discernible connection to control and systems theory or optimization will not be considered for publication. From time to time, the journal will also publish authoritative surveys of important subject areas in control theory and optimization whose level of maturity permits a clear and unified exposition. The broad areas mentioned above are intended to encompass a wide range of mathematical techniques and scientific, engineering, economic, and industrial applications. These include stochastic and deterministic methods in control, estimation, and identification of systems; modeling and realization of complex control systems; the numerical analysis and related computational methodology of control processes and allied issues; and the development of mathematical theories and techniques that give new insights into old problems or provide the basis for further progress in control theory and optimization. Within the field of optimization, the journal focuses on the parts that are relevant to dynamic and control systems. Contributions to numerical methodology are also welcome in accordance with these aims, especially as related to large-scale problems and decomposition as well as to fundamental questions of convergence and approximation.