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
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
  • [21] A Lyapunov-based control scheme for robust stabilization of fractional chaotic systems
    Mohammad Pourmahmood Aghababa
    Nonlinear Dynamics, 2014, 78 : 2129 - 2140
  • [22] Lyapunov-based Economic Model Predictive Control of Stochastic Nonlinear Systems
    Wu, Zhe
    Zhang, Junfeng
    Zhang, Zhihao
    Albalawi, Fahad
    Durand, Helen
    Mahmood, Maaz
    Mhaskar, Prashant
    Christofides, Panagiotis D.
    2018 ANNUAL AMERICAN CONTROL CONFERENCE (ACC), 2018, : 3900 - 3907
  • [23] Lyapunov-based decentralized adaptive control for laser beam tracking systems
    Nikulin, VV
    Bouzoubaa, M
    Skormin, VA
    Busch, TE
    IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS, 2003, 39 (04) : 1191 - 1200
  • [24] Lyapunov-based output-feedback distributed control of systems on lattices
    Jovanovic, MR
    Bamieh, B
    42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 2003, : 1333 - 1338
  • [25] A New Lyapunov-Based Event-Triggered Control of Linear Systems
    Ghodrat, Mohsen
    Marquez, Horacio J. J.
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2023, 68 (04) : 2599 - 2606
  • [26] Lyapunov-based Control Allocation for Over-actuated Nonlinear Systems
    de Castro, Ricardo
    Brembeck, Jonathan
    2019 AMERICAN CONTROL CONFERENCE (ACC), 2019, : 5033 - 5038
  • [27] Lyapunov-based economic model predictive control for nonlinear descriptor systems
    Albalawi, Fahad
    CHEMICAL ENGINEERING RESEARCH & DESIGN, 2020, 163 (263-272): : 263 - 272
  • [28] A Lyapunov-based control scheme for robust stabilization of fractional chaotic systems
    Aghababa, Mohammad Pourmahmood
    NONLINEAR DYNAMICS, 2014, 78 (03) : 2129 - 2140
  • [29] Lyapunov-based state-feedback distributed control of systems on lattices
    Jovanovic, MR
    Bamieh, B
    PROCEEDINGS OF THE 2003 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2003, : 101 - 106
  • [30] A Lyapunov-based Shaking Function for a Class of Non-bilinear Quantum Systems
    Shao, Jieqiu
    Nicotra, Marco M.
    2022 AMERICAN CONTROL CONFERENCE, ACC, 2022, : 850 - 855