Understand motion planning when time matters. This rigorous study shows how adding time to configuration space helps model moving obstacles and dynamic environments, focusing on how to plan collision-free paths with speed limits. Ideal for readers who want a clear, formal look at the math and algorithms behind time-aware motion planning.

Explore models, definitions, and algorithmic approaches that turn time-configuration space into a practical tool. The text presents how to compute plans, analyze complexity, and compare methods that guarantee feasible motions under constraints, with step-by-step reasoning and formal results.

Time-expanded models that track position and moment in time to avoid collisions.

Algorithmic strategies for speed-bounded motion and their computational trade-offs.

Planar-map constructions and sweep-line techniques for organizing reachable regions.

Applications to environments with moving obstacles and bounded object speeds.

Ideal for readers of advanced robotics, computational geometry, or algorithm design who want a detailed, methodical treatment of time-aware motion planning.

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