Due to the need for numerical calculation and mathematical modelling, this paper focuses on the stability of optimal trajectories for optimal control problems. The basic ideas and techniques are based on the compactness of the optimal trajectory set and set-valued mapping theorem. Through lack of optimal control stability, the result of generic stability for optimal trajectories is obtained under the perturbations of the right-hand side functions of the state equations; in the sense of Baire category, the right-hand side functions of the state equations of optimal control can be approximated by other functions.

中文翻译：

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非线性最优控制问题的最优轨迹稳定性分析

由于需要进行数值计算和数学建模，因此本文重点讨论了最优控制问题的最优轨迹的稳定性。基本思想和技术基于最优轨迹集的紧致性和集值映射定理。由于缺乏最优的控制稳定性，在状态方程右边函数的扰动下获得了最优轨迹的一般稳定性的结果。在Baire类别的意义上，最优控制状态方程的右侧函数可以由其他函数近似。