Adaptive Control of a Two-Item Inventory Model with Unknown Demand Rate Coefficients
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-05
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
This paper considers a multiitem inventory model with unknown demand rate coefficients.
An adaptive control approach with a nonlinear feedback is applied to track the output of the system toward the inventory goal level.
The Lyapunov technique is used to prove the asymptotic stability of the adaptive controlled system.
Also, the updating rules of the unknown demand rate coefficients are derived from the conditions of the asymptotic stability of the perturbed system.
The linear stability analysis of the model is discussed.
The adaptive controlled system is modeled by a system of nonlinear differential equations, and its solution is discussed numerically.
American Psychological Association (APA)
Alshamrani, Ahmad. 2012. Adaptive Control of a Two-Item Inventory Model with Unknown Demand Rate Coefficients. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-993719
Modern Language Association (MLA)
Alshamrani, Ahmad. Adaptive Control of a Two-Item Inventory Model with Unknown Demand Rate Coefficients. Journal of Applied Mathematics No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-993719
American Medical Association (AMA)
Alshamrani, Ahmad. Adaptive Control of a Two-Item Inventory Model with Unknown Demand Rate Coefficients. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-993719
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993719