针对作战过程的混合动态特性,利用Lanchester方程建立了一类作战混合动态系统模型,在合理战术假设的基础上,讨论了一类变招顺序固定的作战决策方最优控制问题.利用动态规划原理给出了解决问题的基本框架与途径.最后,通过应用算例验证了所建立模型和所设计最优控制方案的可行性.研究结果对作战指挥决策和对策的研究具有理论指导意义. Aiming at the mixed dynamic characteristics of the combat process, a class of combat hybrid dynamic system model is established by using Lanchester equation. On the basis of reasonable tactical assumption, a class of the optimal control problem of the warfighting decision- The basic framework and approach to solve the problem are given.Finally, the feasibility of the proposed model and the optimal control scheme is verified by the application of a numerical example.The research results are of theoretical significance for the research on combat command decision-making and countermeasures.