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Proofs of the Technical Results Justifying an Algorithm for Collision Avoidance in Dynamic Environments with Moving and Deforming Obstacles

2013/04/29 by Chao Wang, Wang, Chao, Alexey S. Matveev +3
Computer Science · Engineering · #Control and Dynamics of Mobile Robots #FOS: Mathematics #Guidance and Control Systems #Optimization and Control (math.OC) #Robotic Path Planning Algorithms

paper · pdf · doi:10.48550/arxiv.1304.7665

openalex publication_date 2013/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This text presents the proofs of the technical facts underlying theoretical justification of the convergence and performance of the novel algorithm for reactive navigation of differential drive wheeled robots in dynamic uncertain environments. The algorithm restricts neither the natures nor the motions of the obstacles, they need not be rigid but conversely may deform. It does not consume data about the velocities, shapes, sizes, or orientations of the obstacles, and does not need a map of the environment or recognition of individual obstacles. The only information about the scene is the current distance to the nearest obstacle.

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