Optimal Trajectory

Optimal trajectory planning focuses on finding the best path for a system to move between points, considering factors like time, energy, safety, and constraints. Current research emphasizes efficient algorithms, such as those based on diffusion models, model predictive control, and search-based methods like A*, often incorporating machine learning for improved prediction and adaptation in dynamic environments. These advancements are crucial for applications ranging from autonomous vehicles and robotics to drone flight and spacecraft navigation, improving efficiency, safety, and performance in complex scenarios.