First-Order Necessary Conditions

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

The set of conditions that any optimal solution must satisfy, derived from Pontryagin's maximum principle, including costate dynamics, the extremality condition of the Hamiltonian with respect to control, and transversality conditions. They form the foundation of optimal control theoretical analysis and indirect method solutions.

Application Value

The 一阶必要条件 concept is applied in cislunar space research, providing technical support or analytical methods for lunar exploration missions.

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References

  • You and Dai, 2022, JGCD, doi:10.2514/1.G006815