Modeling and Optimal Control of a Class of Warfare Hybrid Dynamic Systems Based on Lanchester ( n , 1 ) Attrition Model
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 o...
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| Vydáno v: | Mathematical problems in engineering Ročník 2014; číslo 1 |
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| Jazyk: | angličtina |
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Hindawi Publishing Corporation
01.01.2014
John Wiley & Sons, Inc |
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| ISSN: | 1024-123X, 1563-5147 |
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| Abstract | 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. |
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| AbstractList | 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. 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. |
| Author | Zhang, Ancai Chen, Xiangyong |
| Author_xml | – sequence: 1 givenname: Xiangyong surname: Chen fullname: Chen, Xiangyong organization: School of Sciences Linyi University Linyi Shandong 276005 China lyu.edu.cn – sequence: 2 givenname: Ancai surname: Zhang fullname: Zhang, Ancai organization: School of Automobile Engineering Linyi University Linyi Shandong 276005 China lyu.edu.cn |
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| Cites_doi | 10.1002/nav.10101 10.1016/0377-2217(94)90412-X 10.1109/ACC.2006.1655428 10.1016/j.ejor.2010.11.009 10.1016/j.apm.2010.11.057 10.1016/S0305-0548(02)00056-4 10.1109/CCDC.2011.5968710 10.1007/s11518-011-5177-7 10.1057/palgrave.jors.2601936 10.1002/nav.20328 10.1002/nav.3800210107 10.1002/nav.3800250213 10.1093/imamat/51.2.95 10.5711/morj.9.2.17 10.1057/jors.1992.112 10.1287/opre.2.2.163 |
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| Copyright | Copyright © 2014 Xiangyong Chen and Ancai Zhang. Copyright © 2014 Xiangyong Chen and Ancai Zhang. Xiangyong Chen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
| Copyright_xml | – notice: Copyright © 2014 Xiangyong Chen and Ancai Zhang. – notice: Copyright © 2014 Xiangyong Chen and Ancai Zhang. Xiangyong Chen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
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| Snippet | 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 )... 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)... 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)... |
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| SubjectTerms | Continuous time systems Control systems Decision making Differential games Discrete event systems Dynamic programming Dynamical systems Dynamics Economic models Engineering Game theory Hybrid systems Mathematical analysis Mathematical models Optimal control Optimization Strategy Tactics Warfare |
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| Title | Modeling and Optimal Control of a Class of Warfare Hybrid Dynamic Systems Based on Lanchester ( n , 1 ) Attrition Model |
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