Algebraic Geometry For Robotics And Control Theory

Algebraic Geometry For Robotics And Control Theory
Author :
Publisher : World Scientific
Total Pages : 615
Release :
ISBN-10 : 9781800610477
ISBN-13 : 1800610475
Rating : 4/5 (475 Downloads)

Book Synopsis Algebraic Geometry For Robotics And Control Theory by : Laura Menini

Download or read book Algebraic Geometry For Robotics And Control Theory written by Laura Menini and published by World Scientific. This book was released on 2021-09-02 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Algebraic Geometry For Robotics And Control Theory Related Books

Algebraic Geometry For Robotics And Control Theory
Language: en
Pages: 615
Authors: Laura Menini
Categories: Technology & Engineering
Type: BOOK - Published: 2021-09-02 - Publisher: World Scientific

DOWNLOAD EBOOK

The development of inexpensive and fast computers, coupled with the discovery of efficient algorithms for dealing with polynomial equations, has enabled excitin
Geometric Algebra Applications Vol. II
Language: en
Pages: 609
Authors: Eduardo Bayro-Corrochano
Categories: Mathematics
Type: BOOK - Published: 2020-06-19 - Publisher: Springer Nature

DOWNLOAD EBOOK

This book presents a unified mathematical treatment of diverse problems in the general domain of robotics and associated fields using Clifford or geometric alge
Numerically Solving Polynomial Systems with Bertini
Language: en
Pages: 372
Authors: Daniel J. Bates
Categories: Science
Type: BOOK - Published: 2013-11-08 - Publisher: SIAM

DOWNLOAD EBOOK

This book is a guide to concepts and practice in numerical algebraic geometry ? the solution of systems of polynomial equations by numerical methods. Through nu
Mathematical Control Theory
Language: en
Pages: 543
Authors: Eduardo D. Sontag
Categories: Mathematics
Type: BOOK - Published: 2013-11-21 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Geared primarily to an audience consisting of mathematically advanced undergraduate or beginning graduate students, this text may additionally be used by engine
Robotics, Vision and Control
Language: en
Pages: 572
Authors: Peter Corke
Categories: Technology & Engineering
Type: BOOK - Published: 2011-09-05 - Publisher: Springer

DOWNLOAD EBOOK

The author has maintained two open-source MATLAB Toolboxes for more than 10 years: one for robotics and one for vision. The key strength of the Toolboxes provid