系统突变理论的战场描述终态条件及模型

分析经典的基于兰切斯特方程描述的作战过程,在此基础上,把数理战术学中的最优决策理论和系统学中的系统突变理论相结合,通过对作战双方微分方程的毁伤率引入士气参数,建立数学模型,提出系统突变条件下描述战场的终态条件,并利用此条件探讨最优控制条件下的策略,为进一步研究战争的形态提供理论参考。

System-Mutation-Theory-based Last Condition and Model for Describing Combat

The thesis analyses typical Lanchester-equationbased combat control course,on the basis of which mathematical tactics and mutation theory of system science are combined together.The authors introduce morale parameter based on the differential equation of casualty rate to set up mathematic models.Thus,the last condition for describing combat with in system mutation theory is provided.The method can search combat strategy under the guidance of optimization control while presenting theoretic reference for further study into combat modality.