![](/images/graphics-bg.png)
Quenching Time Optimal Control for Some Ordinary Differential Equations
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-10
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This paper concerns time optimal control problems of three different ordinary differential equations in ℝ2.
Corresponding to certain initial data and controls, the solutions of the systems quench at finite time.
The goal to control the systems is to minimize the quenching time.
The purpose of this study is to obtain the existence and the Pontryagin maximum principle of optimal controls.
The methods used in this paper adapt to more general and complex ordinary differential control systems with quenching property.
We also wish that our results could be extended to the same issue for parabolic equations.
American Psychological Association (APA)
Lin, Ping. 2014. Quenching Time Optimal Control for Some Ordinary Differential Equations. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-447835
Modern Language Association (MLA)
Lin, Ping. Quenching Time Optimal Control for Some Ordinary Differential Equations. Journal of Applied Mathematics No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-447835
American Medical Association (AMA)
Lin, Ping. Quenching Time Optimal Control for Some Ordinary Differential Equations. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-447835
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-447835