Necessary Optimality Conditions for a Class of Impulsive and Switching Systems

被引：1
|
作者：
Li, Lihua [1 ,2 ]
Gao, Yan [1 ]
Wang, Gexia [2 ]
机构：
[1] Univ Shanghai Sci & Technol, Sch Management, Shanghai 200093, Peoples R China
[2] Shanghai Univ Elect Power, Sch Math & Phys, Shanghai 200090, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2012年
基金：
美国国家科学基金会;
关键词：
STABILITY ANALYSIS; DYNAMICAL-SYSTEMS; ROBUST STABILITY; HYBRID SYSTEMS; OPTIMIZATION; PRINCIPLE;
D O I：
10.1155/2012/457121
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An optimal control problem for a class of hybrid impulsive and switching systems is considered. By defining switching times as part of extended state, we get the necessary optimality conditions for this problem. It is shown that the adjoint variables satisfy certain jump conditions and the Hamiltonian are continuous at switching instants. In addition, necessary optimality conditions of Frechet subdifferential form are presented in this paper.
引用
收藏
页数：11
相关论文
共 50 条
  • [21] Necessary conditions of optimality for vector-valued impulsive control problems
    Pereira, FL
    Silva, GN
    SYSTEMS & CONTROL LETTERS, 2000, 40 (03) : 205 - 215
  • [22] First and second order necessary conditions of optimality for impulsive control problems
    Arutyunov, A
    Dykhta, V
    Pereira, F
    42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 2003, : 6357 - 6362
  • [23] Nonlinear uncertain systems and necessary conditions of optimality
    Univ of Ottawa, Ottawa, Canada
    SIAM J Control Optim, 5 (1755-1772):
  • [24] Necessary Optimality Conditions for Fractional Bioeconomic Systems
    Filatova, Daria V.
    Grzywaczewski, Marek
    2008 CONFERENCE ON HUMAN SYSTEM INTERACTIONS, VOLS 1 AND 2, 2008, : 971 - +
  • [25] On the theory of necessary optimality conditions in discrete systems
    Misir J Mardanov
    Samin T Malik
    Nazim I Mahmudov
    Advances in Difference Equations, 2015
  • [26] NECESSARY AND SUFFICIENT CONDITIONS FOR OPTIMALITY OF CONTROLLED SYSTEMS
    VASILEV, AY
    AUTOMATION AND REMOTE CONTROL, 1965, 25 (10) : 1262 - &
  • [27] On the theory of necessary optimality conditions in discrete systems
    Mardanov, Misir J.
    Malik, Samin T.
    Mahmudov, Nazim I.
    ADVANCES IN DIFFERENCE EQUATIONS, 2015, : 1 - 15
  • [28] THEORY OF NECESSARY CONDITIONS FOR OPTIMALITY FOR DISCRETE SYSTEMS
    GABASOV, R
    KIRILLOV.FM
    AUTOMATION AND REMOTE CONTROL, 1969, (12) : 1921 - &
  • [29] Nonlinear uncertain systems and necessary conditions of optimality
    Ahmed, NU
    Xiang, X
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1997, 35 (05) : 1755 - 1772
  • [30] On Necessary Optimality Conditions for Discrete Control Systems
    Mardanov, M. J.
    Melikov, T. K.
    BULLETIN OF IRKUTSK STATE UNIVERSITY-SERIES MATHEMATICS, 2020, 31 : 49 - 61
12345