A solution to the path planning problem via algebraic geometry and reinforcement learning

DOI10.1016/j.jfranklin.2021.12.003zbMath1481.93083OpenAlexW4200008035MaRDI QIDQ2071234

Francesco Gismondi, Corrado Possieri, Antonio Tornambe

Publication date: 25 January 2022

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2021.12.003

zbMATH Keywords

algebraic geometrypath planning problemunicycle-like mobile robot

Mathematics Subject Classification ID

Automated systems (robots, etc.) in control theory (93C85) Artificial intelligence for robotics (68T40) Foundations of algebraic geometry (14A99)

Related Items (1)

Automatic parking trajectory planning based on random sampling and nonlinear optimization

Uses Software

• Macaulay2
• Robotics

Cites Work

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• On a Lyapunov equation for polynomial continuous-time systems
• On polynomial vector fields having a given affine variety as attractive and invariant set: application to robotics
• Reinforcement Learning and Feedback Control: Using Natural Decision Methods to Design Optimal Adaptive Controllers

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