Algebraic Geometry for Robotics and Control Theory

Download or read book Algebraic Geometry for Robotics and Control Theory written by Laura Menini and published by World Scientific Publishing Europe Limited. This book was released on 2021-09-28 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 robots -- Computation of the largest f-invariant set contained in an affine variety -- Boolean networks -- Multi-objective optimization -- Distance to internal instability of LTI systems under structured perturbations -- Decomposition in sum of squares.