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Algebraic geometry notions -- Implementations in Macaulay2 -- The inverse kinematics of robot arms -- Observer design -- Immersions of polynomial systems into linear ones up to an output injection -- Solving systems of equations and inequalities -- Motion planning for mobile rob…
"The development of inexpensive and fast computers, coupled with the discovery of efficient algorithms for dealing with polynomial equations, has enabled exciting new applications of algebraic geometry and commutative algebra. Algebraic Geometry for Robotics and Control Theory s…