TY  - BOOK
AU  - Menini,Laura
AU  - Possieri,Corrado
AU  - Tornambè,Antonio
TI  - Algebraic geometry for robotics and control theory
SN  - 9781800610453
U1  - 514.7 
PY  - 2022///
CY  - New Jersey
PB  - World Scientific
KW  - Geometry, Algebraic
KW  - Robotics
KW  - Mathematical models
KW  - Control theory
N1  - Includes bibliographical references and index; Readers and practitioners in the fields of algebraic geometry, control theory, and robotics
N2  - 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 shows how tools borrowed from these two fields can be efficiently employed to solve relevant problem arising in robotics and control theory.

After a brief introduction to various algebraic objects and techniques, the book first covers a wide variety of topics concerning control theory, robotics, and their applications. Specifically this book shows how these computational and theoretical methods can be coupled with classical control techniques to: solve the inverse kinematics of robotic arms; design observers for nonlinear systems; solve systems of polynomial equalities and inequalities; plan the motion of mobile robots; analyze Boolean networks; solve (possibly, multi-objective) optimization problems; characterize the robustness of linear; time-invariant plants; and certify positivity of polynomials
UR  - https://www.worldscientific.com/doi/reader/10.1142/9781800610460_fmatter
UR  - https://www.goodreads.com/book/show/57565316-algebraic-geometry-for-robotics-and-control-theory?ref=nav_sb_ss_1_13#CommunityReviews
ER  -