Symmetry Properties of States and Costates in Impulsive Control Systems

被引:0
|
作者
Weijun Huang
机构
[1] The MathWorks,
[2] Inc.,undefined
关键词
Impulsive control systems; Symmetry property of states and costates; Successive approximation method; Second-order costates approximations;
D O I
暂无
中图分类号
学科分类号
摘要
This paper reveals two symmetry properties of the states and costates of a special type of optimal impulsive control problems and, based on these two properties, proposes a new procedure for obtaining the second-order states and costates approximations. It further shows with an example that this procedure is efficient and can be implemented effectively in a computer algebraic system.
引用
收藏
页码:597 / 607
页数:10
相关论文
共 50 条
  • [1] Symmetry Properties of States and Costates in Impulsive Control Systems
    Huang, Weijun
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2014, 160 (02) : 597 - 607
  • [2] SYMMETRY PROPERTIES OF EXCITON STATES IN 1 DIMENSIONAL SYSTEMS
    ABRAHAM, DB
    MCLACHLAN, AD
    MOLECULAR PHYSICS, 1967, 12 (04) : 301 - +
  • [3] On optimal control problems of a class of impulsive switching systems with terminal states constraints
    Gao, Rui
    Liu, Xinzhi
    Yang, Jinlin
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (07) : 1940 - 1951
  • [4] Stabilising control for impulsive systems
    Shao, Lin
    Shao, Hanyong
    JOURNAL OF CONTROL AND DECISION, 2024,
  • [5] Invariance for impulsive control systems
    Pereira, F. Lobo
    Silva, G. Nunes
    Oliveira, V.
    AUTOMATION AND REMOTE CONTROL, 2008, 69 (05) : 788 - 800
  • [6] Invariance for impulsive control systems
    F. Lobo Pereira
    G. Nunes Silva
    V. Oliveira
    Automation and Remote Control, 2008, 69 : 788 - 800
  • [7] Stability for impulsive control systems
    Pereira, FL
    Silva, GN
    DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2002, 17 (04): : 421 - 434
  • [8] Impulsive control of Lurie systems
    Yu, Yongbin
    Zhang, Fengli
    Zhong, Qishui
    Liao, Xiaofeng
    Yu, Juebang
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (11) : 2806 - 2813
  • [9] Impulsive control of Rossler systems
    Sun, JT
    Zhang, YP
    PHYSICS LETTERS A, 2003, 306 (5-6) : 306 - 312
  • [10] Invariance for impulsive control systems
    de Oliveira, VA
    Pereira, FL
    Silva, GN
    42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 2003, : 5174 - 5179