Modeling and Optimal Control of a Class of Warfare Hybrid Dynamic Systems Based on Lanchester (n,1) Attrition Model
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-03
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
For the particularity of warfare hybrid dynamic process, a class of warfare hybrid dynamic systems is established based on Lanchester equation in a (n,1) battle, where a heterogeneous force of n different troop types faces a homogeneous force.
This model can be characterized by the interaction of continuous-time models (governed by Lanchester equation), and discrete event systems (described by variable tactics).
Furthermore, an expository discussion is presented on an optimal variable tactics control problem for warfare hybrid dynamic system.
The optimal control strategies are designed based on dynamic programming and differential game theory.
As an example of the consequences of this optimal control problem, we take the (2, 1) case and solve the optimal strategies in a (2, 1) case.
Simulation results show the feasibility of warfare hybrid system model and the effectiveness of the optimal control strategies designed.
American Psychological Association (APA)
Chen, Xiangyong& Zhang, Ancai. 2014. Modeling and Optimal Control of a Class of Warfare Hybrid Dynamic Systems Based on Lanchester (n,1) Attrition Model. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-474990
Modern Language Association (MLA)
Chen, Xiangyong& Zhang, Ancai. Modeling and Optimal Control of a Class of Warfare Hybrid Dynamic Systems Based on Lanchester (n,1) Attrition Model. Mathematical Problems in Engineering No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-474990
American Medical Association (AMA)
Chen, Xiangyong& Zhang, Ancai. Modeling and Optimal Control of a Class of Warfare Hybrid Dynamic Systems Based on Lanchester (n,1) Attrition Model. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-474990
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-474990