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Bilinear Minimax Optimal Control Problems for a von Kárman System with Long Memory
Author
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-16
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
In the present article, we consider a von Kárman equation with long memory.
The goal is to study a quadratic cost minimax optimal control problems for the control system governed by the equation.
First, we show that the solution map is continuous under a weak assumption on the data.
Then, we formulate the minimax optimal control problem.
We show the first and twice Fréchet differentiabilities of the nonlinear solution map from a bilinear input term to the weak solution of the equation.
With the Fréchet differentiabilities of the control to solution mapping, we prove the uniqueness and existence of an optimal pair and find its necessary optimality condition.
American Psychological Association (APA)
Hwang, Jinsoo. 2020. Bilinear Minimax Optimal Control Problems for a von Kárman System with Long Memory. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1185205
Modern Language Association (MLA)
Hwang, Jinsoo. Bilinear Minimax Optimal Control Problems for a von Kárman System with Long Memory. Journal of Function Spaces No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1185205
American Medical Association (AMA)
Hwang, Jinsoo. Bilinear Minimax Optimal Control Problems for a von Kárman System with Long Memory. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1185205
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185205