Necessary and Sufficient Conditions of Optimality for a Damped Hyperbolic Equation in One-Space Dimension
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-04
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The present paper deals with the necessary optimality condition for a class of distributed parameter systems in which the system is modeled in one-space dimension by a hyperbolic partial differential equation subject to the damping and mixed constraints on state and controls.
Pontryagin maximum principle is derived to be a necessary condition for the controls of such systems to be optimal.
With the aid of some convexity assumptions on the constraint functions, it is obtained that the maximum principle is also a sufficient condition for the optimality.
American Psychological Association (APA)
Kucuk, Ismail& Yildirim, Kenan. 2014. Necessary and Sufficient Conditions of Optimality for a Damped Hyperbolic Equation in One-Space Dimension. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1033799
Modern Language Association (MLA)
Kucuk, Ismail& Yildirim, Kenan. Necessary and Sufficient Conditions of Optimality for a Damped Hyperbolic Equation in One-Space Dimension. Abstract and Applied Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1033799
American Medical Association (AMA)
Kucuk, Ismail& Yildirim, Kenan. Necessary and Sufficient Conditions of Optimality for a Damped Hyperbolic Equation in One-Space Dimension. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1033799
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033799