Finite-time stability of quantum systems governed by Schrodinger's equation

被引：2
|
作者：
Yang, Wei [1 ]
Sun, Jitao [1 ]
机构：
[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
来源：
INTERNATIONAL JOURNAL OF CONTROL | 2013年 / 86卷 / 06期
基金：
中国国家自然科学基金;
关键词：
quantum systems; finite-time stability; finite-time boundedness; Schrodinger's equation; LYAPUNOV CONTROL; STABILIZATION; FEEDBACK;
D O I：
10.1080/00207179.2013.784808
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we investigate the finite-time stability (FTS) and finite-time boundedness (FTB) of quantum systems which are governed by Schrodinger's equation. We first study the FTS and FTS at one target state and propose new results for the mentioned quantum systems in the form of sufficient conditions. Then, we present sufficient conditions for the FTB and FTB at one target state in terms of matrix inequalities. One numerical simulation is presented to illustrate the effectiveness of the obtained theoretical result.
引用
收藏
页码：1131 / 1136
页数：6
相关论文
共 50 条
  • [1] Finite-time stability of quantum systems with impulses
    Yang, Wei
    Sun, Jitao
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2014, 8 (08): : 641 - 646
  • [2] FINITE-TIME BLOWUP FOR A SCHRODINGER EQUATION WITH NONLINEAR SOURCE TERM
    Cazenave, Thierry
    Martel, Yvan
    Zhao, Lifeng
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2019, 39 (02) : 1171 - 1183
  • [3] Finite-time stability of homogeneous systems
    Bhat, SP
    Bernstein, DS
    [J]. PROCEEDINGS OF THE 1997 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1997, : 2513 - 2514
  • [4] The finite-time stability of perturbed systems
    Zoghlami, Naim
    Beji, Lotfi
    Mlayeh, Rhouma
    Abichou, Azgal
    [J]. 2012 IEEE INTERNATIONAL CONFERENCE ON CONTROL APPLICATIONS (CCA), 2012, : 1080 - 1085
  • [5] Finite-time stability of delayed systems
    Lazarević, M.P.
    Debeljković, D.Lj.
    Nenadić, Z.Lj.
    Milinković, S.A.
    [J]. IMA Journal of Mathematical Control and Information, 2000, 17 (02) : 101 - 109
  • [6] Finite-time stability of switched systems
    Sheng, Wenbo
    Zhang, Xiaoli
    [J]. PROCEEDINGS OF THE 2012 24TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2012, : 270 - 274
  • [7] A finite-time stability concept and conditions for finite-time and exponential stability of controlled nonlinear systems
    Costa, Eduardo F.
    do Val, Joao B. R.
    [J]. 2006 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2006, 1-12 : 2309 - +
  • [8] Finite-Time Stability and Boundedness of Switched Systems with Finite-Time Unstable Subsystems
    Tan, Jialin
    Wang, Weiqun
    Yao, Juan
    [J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2019, 38 (07) : 2931 - 2950
  • [9] Finite-time stability and finite-time boundedness of fractional order switched systems
    Liang, Jinxia
    Wu, Baowei
    Liu, Lili
    Wang, Yue-E
    Li, Changtao
    [J]. TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2019, 41 (12) : 3364 - 3371
  • [10] Finite-time stability of switched nonlinear systems with finite-time unstable subsystems
    Li, Xueling
    Lin, Xiangze
    Li, Shihua
    Zou, Yun
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2015, 352 (03): : 1192 - 1214
12345