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.
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页数：11
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