自由飞行下考虑误差分布3维相关性的随机微分方程风险评估

为了保障自由飞行下的飞行安全，需要在CNS性能飞行环境下评估自由飞行下的碰撞风险。考虑飞行的随机因素，在飞机运动的确定性微分方程基础上引入随机输入项，关注CNS因素误差分布的3维相关性，建立了自由飞行下飞机运动的随机微分方程碰撞风险模型，并利用Milstein法与有限差分法结合的方法来求解该模型。算例分析验证了该模型的可行性。

Stochastic Differential Equation Risk Assessment of Considering the Error Distribution of 3-Dimensional Correlation in Free Flight

In order to ensure the safety of free flight, collision risk in free flight was demanded to assessment under the CNS performance environment. With random factors of the flight taken into account, the random input item was introduced on the basis of the aircraft movement deterministic differential equation, and with CNS factor error distribution of 3-dimensional correlation concerned, the collision risk model of the aircraft movement stochastic differential equation in free flight was established. The combined method of Milstein method and finite difference method was used to solve the model. The example analysis verifies the feasibility of the model.