Optimal control of a class of warfare dynamic systems based on Lanchester (2,2) attrition model

Under some reasonable assumptions, this paper considers the problem of building the optimal control of a class of warfare dynamic systems on the condition of fixed variable tactics sequences. And its solving method is given based on dynamic programming principle. Finally, as an example of the consequences of this optimal control problem, we take the (2,2) case and solve the optimal strategies in a (2,2) case. Simulation results show the effectiveness of our presented optimal control strategies.