Lyapunov-based control of quantum systems

被引：0
|
作者：
Grivopoulos, S [1 ]
Bamieh, B [1 ]
机构：
[1] Univ Calif Santa Barbara, Dept Mech & Environm Engn, Santa Barbara, CA 93106 USA
来源：
42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS | 2003年
关键词：
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We propose feedback control laws for quantum systems, based on Lyapunov design. These feedback laws locally asymptotically stabilize any desired eigenstate of the system Hamiltonian. The target eigenstate and the size of its region of attraction can be tailored by the choice of design parameters. These feedback control laws are used to design open loop controls for state transfer problems. We illustrate the method with a transfer problem between bound states of a molecular Morse oscillator.
引用
收藏
页码：434 / 438
页数：5
相关论文
共 50 条
  • [31] Lyapunov-based fault tolerant control allocation
    de Castro, Ricardo
    Brembeck, Jonathan
    VEHICLE SYSTEM DYNAMICS, 2022, 60 (10) : 3605 - 3630
  • [32] Lyapunov-based control of a tethered satellite system
    Meng, Tingting
    He, Wei
    IET CONTROL THEORY AND APPLICATIONS, 2016, 10 (08): : 956 - 964
  • [33] The Characteristics of Limit Points of Any Trajectory of Mixed-State Quantum Systems in the Lyapunov-based Control Design
    Kuang Sen
    Cong Shuang
    PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 5922 - 5925
  • [34] Stabilization of nonlinear systems with state and control constraints using Lyapunov-based predictive control
    Mhaskar, P
    El-Farra, NH
    Christofides, PD
    ACC: PROCEEDINGS OF THE 2005 AMERICAN CONTROL CONFERENCE, VOLS 1-7, 2005, : 828 - 833
  • [35] Lyapunov-based range identification for paracatadioptric systems
    Hu, Guoqiang
    Aiken, Darren
    Gupta, Sumit
    Dixon, Warren E.
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (07) : 1775 - 1781
  • [36] Lyapunov-Based Formation Control of Underwater Robots
    Khalaji, Ali Keymasi
    Zahedifar, Rasoul
    ROBOTICA, 2020, 38 (06) : 1105 - 1122
  • [37] Repetitive learning control: A Lyapunov-based approach
    Dixon, WE
    Zergeroglu, E
    Dawson, DM
    Costic, BT
    PROCEEDINGS OF THE 2001 IEEE INTERNATIONAL CONFERENCE ON CONTROL APPLICATIONS (CCA'01), 2001, : 530 - 535
  • [38] Stabilization of nonlinear systems with state and control constraints using Lyapunov-based predictive control
    Mhaskar, Prashant
    El-Farra, Nael H.
    Christofides, Panagiotis D.
    SYSTEMS & CONTROL LETTERS, 2006, 55 (08) : 650 - 659
  • [39] A graphical understanding of Lyapunov-based nonlinear control
    Curtis, JW
    Berad, RW
    PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 2002, : 2278 - 2283
  • [40] Lyapunov-based set point control of the acrobot
    Zergeroglu, E.
    Dixon, W.E.
    Dawson, D.M.
    Behal, A.
    International Journal of Robotics and Automation, 1999, 14 (04): : 161 - 170
12345