Necessary Optimality Conditions for a Class of Impulsive and Switching Systems
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-13
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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 thenecessary 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 Fréchet subdifferential form are presented in this paper.
American Psychological Association (APA)
Li, Lihua& Gao, Yan& Wang, Gexia. 2012. Necessary Optimality Conditions for a Class of Impulsive and Switching Systems. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-1028885
Modern Language Association (MLA)
Li, Lihua…[et al.]. Necessary Optimality Conditions for a Class of Impulsive and Switching Systems. Journal of Applied Mathematics No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-1028885
American Medical Association (AMA)
Li, Lihua& Gao, Yan& Wang, Gexia. Necessary Optimality Conditions for a Class of Impulsive and Switching Systems. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-1028885
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028885