| 引用本文: | 陈向勇,井元伟,李春吉.基于Lanchester方程的作战混合动态系统最优变招控制[J].控制理论与应用,2012,29(6):773~777.[点击复制] |
| CHEN Xiang-yong,JING Yuan-wei,LI Chun-ji.Optimal variable tactic control of warfare hybrid dynamic system based on Lanchester equation[J].Control Theory and Technology,2012,29(6):773~777.[点击复制] |
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| 基于Lanchester方程的作战混合动态系统最优变招控制 |
| Optimal variable tactic control of warfare hybrid dynamic system based on Lanchester equation |
| 摘要点击 2265 全文点击 1397 投稿时间：2011-05-26 修订日期：2012-02-17 |
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| DOI编号 10.7641/j.issn.1000-8152.2012.6.CCTA110604 |
| 2012,29(6):773-777 |
| 中文关键词 Lanchester方程 作战混合动态系统 最优变招控制 微分对策 |
| 英文关键词 Lanchester equation warfare hybrid dynamic systems optimal variable tactics control differential game |
| 基金项目 国家自然科学基金资助项目(60774097, 61104015); 中央高校基本科研专项业务费资助项目(N100604019). |
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| 中文摘要 |
| 根据作战混合动态过程特性, 提出了一种基于Lanchester方程的作战混合动态系统模型. 该模型可较好的描述离散事件驱动的对阵招法和连续作战实力变化之间的相互作用. 在合理战术假设的基础上, 讨论了作战混合动态系统最优变招控制问题. 首先, 利用微分对策理论得到了作战招法存在的必要条件. 进而对作战变招过程进行分析，并提出了一种最优变招控制策略的求解方法. 最后, 应用算例验证了所构建作战混合系统模型和所设计最优变招策略的可行性. |
| 英文摘要 |
| According to the characteristics of warfare hybrid dynamic process, we develop a warfare hybrid dynamic system model by using Lanchester equation, which better describes the interaction between discrete event-driven tactics and the strength changes in continuous fighting. We also investigate the optimal variable tactic control for the warfare hybrid dynamic system under certain reasonable assumptions. In the existing condition of the warfare tactics based on the differential game theory, we analyze the process of variable tactics and propose the solving method for determining the optimal strategy for variable tactic control. A numerical example shows the feasibility of the warfare hybrid system and the effectiveness of the developed optimal variable tactics. |