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

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.

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.