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Algebraic geometry for robotics and control theory

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Algebraic geometry for robotics and control theory/ Laura Menini, Corrado Possieri, Antonio Tornambè.
作者:	Menini, Laura.
其他作者:	Tornambè, Antonio.
出版者:	London :World Scientific Publishing Europe, : c2022.,
面頁冊數:	1 online resource (616 p.)
標題:	Control theory - Mathematical models. -
電子資源:	https://www.worldscientific.com/worldscibooks/10.1142/q0308#t=toc
ISBN:	9781800610460

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

LCCN: 2021021130Subjects--Topical Terms:

884936
Control theory
--Mathematical models.

LC Class. No.: QA564 / .M44 2022

Dewey Class. No.: 516.3/520285

Algebraic geometry for robotics and control theory
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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 Control theory $x Mathematical models. $3 884936
650 0 $a Robotics $x Mathematical models. $3 720509
650 0 $a Geometry, Algebraic. $3 580393
700 1 $a Tornambè, Antonio. $3 1406530
700 1 $a Possieri, Corrado. $3 1406529
856 4 0 $u https://www.worldscientific.com/worldscibooks/10.1142/q0308#t=toc