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SU（1，1）型双输入量子系统能量最优控制
  • ISSN号：1000-0577
  • 期刊名称：《系统科学与数学》
  • 时间：0
  • 分类：O232[理学—运筹学与控制论;理学—数学]
  • 作者机构：[1]清华大学自动化系,北京100084
  • 相关基金：国家自然科学基金（60674039,60433050）资助课题.
作者： 吴建武[1], 李春文[1], 张靖[1]
关键词： 量子控制, 最优控制, 李群SU(1, 1), Quantum control, optimal control, Lie group SU（1, 1）.
中文摘要：

基于极大值原理，讨论了在李群SU（1，1）上演化的量子系统的能量最优控制问题，针对正常极值和非正常极值两种不同情形，分别给出了双输入时最优控制的解析表达式,所研究的系统是一类在非紧李群上演化的典型量子系统，可用其来描述大量实际物理问题．

英文摘要：

The paper, we deals with the energy optimal control problem for a class of quantum systems evolving on SU（1, 1）. Analytic solutions are provided for the two-input case with respect to both normal and abnormal extrema. The involved dynamic model is widely used to describe physical problems in quantum theory.

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期刊信息
  • 《系统科学与数学》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国科学院数学与系统科学研究院
  • 主编：张纪峰
  • 地址：北京中关村中国科学院系统科学研究所
  • 邮编：100190
  • 邮箱：jssms@iss.ac.cn
  • 电话：010-62555263
  • 国际标准刊号：ISSN：1000-0577
  • 国内统一刊号：ISSN：11-2019/O1
  • 邮发代号:2-563
  • 获奖情况:
  • 1997年数学类期刊影响因子第三名,2000年获中科院优秀期刊三等奖,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:6798