Extremal Flow

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

The family of trajectories satisfying Pontryagin's Maximum Principle. The extremal flow is driven by the co-state Hamiltonian equations, and splits into bang extremals (nonvanishing switching function) and singular extremals (switching function identically zero).

Application Value

Based on its definition, the family of trajectories satisfying pontryagin's maximum principle. the extremal flow is driven by the co-state hamiltonian equations, and splits into bang extremals (nonvanishing switching function.

Related Concepts

• 三体问题（Three-Body Problem）
• 最优控制（Optimal Control）
• 轨迹优化（Trajectory Optimization）

References

• Caillau and Daoud 2012, SIAM J. Control Optim. 50(6)