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Algebraic geometry for robotics and control theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Algebraic geometry for robotics and control theoryLaura Menini, Corrado Possieri, Antonio Tornambè.
Author:	Menini, Laura.
other author:	Possieri, Corrado.
Published:	London :World Scientific Publishing Europe,c2022.
Description:	1 online resource (616 p.)
Subject:	Geometry, Algebraic.
Online resource:	https://www.worldscientific.com/worldscibooks/10.1142/q0308#t=toc
ISBN:	9781800610460$q(ebook)

Algebraic geometry for robotics and control theory
Menini, Laura.

Algebraic geometry for robotics and control theory[electronic resource] /Laura Menini, Corrado Possieri, Antonio Tornambè. - London :World Scientific Publishing Europe,c2022. - 1 online resource (616 p.)

Includes bibliographical references and index.

"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."--

Mode of access: World Wide Web.

ISBN: 9781800610460$q(ebook)

LCCN: 2021021130Subjects--Topical Terms:

190843
Geometry, Algebraic.

LC Class. No.: QA564 / .M44 2022

Dewey Class. No.: 516.3/520285

Algebraic geometry for robotics and control theory
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100 1 $a Menini, Laura. $3 261372
245 1 0 $a Algebraic geometry for robotics and control theory $h [electronic resource] / $c Laura Menini, Corrado Possieri, Antonio Tornambè.
260 $a London : $b World Scientific Publishing Europe, $c c2022.
300 $a 1 online resource (616 p.)
504 $a Includes bibliographical references and index.
520 $a "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."-- $c Publisher's website.
538 $a Mode of access: World Wide Web.
538 $a System requirements: Adobe Acrobat Reader.
588 $a Description based on print version record.
650 0 $a Geometry, Algebraic. $3 190843
650 0 $a Robotics $x Mathematical models. $3 618373
650 0 $a Control theory $x Mathematical models. $3 492355
700 1 $a Possieri, Corrado. $3 931272
700 1 $a Tornambè, Antonio. $3 931273
856 4 0 $u https://www.worldscientific.com/worldscibooks/10.1142/q0308#t=toc