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Zhang functions and various models

Guo, Dongsheng.

Zhang functions and various models

Record Type:	Electronic resources : Monograph/item
Title/Author:	Zhang functions and various modelsby Yunong Zhang, Dongsheng Guo.
Author:	Zhang, Yunong.
other author:	Guo, Dongsheng.
Published:	Berlin, Heidelberg :Springer Berlin Heidelberg :2015.
Description:	xxi, 236 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Functions.
Online resource:	http://dx.doi.org/10.1007/978-3-662-47334-4
ISBN:	9783662473344 (electronic bk.)

Zhang functions and various models
Zhang, Yunong.

Zhang functions and various models[electronic resource] /by Yunong Zhang, Dongsheng Guo. - Berlin, Heidelberg :Springer Berlin Heidelberg :2015. - xxi, 236 p. :ill. (some col.), digital ;24 cm.

Part I Scalar-Valued ZF in Real Domain -- Time-Varying Reciprocal -- Time-Varying Inverse Square Root -- Time-Varying Square Root -- Part II Vector-Valued ZF in Real Domain -- System of Time-Varying Linear Equations -- Over-Determined and Under-Determined Systems of Time-Varying Linear Equations -- Time-Varying Linear Matrix-Vector Inequality -- Part III Matrix-Valued ZF in Real Domain -- Time-VaryingMatrix Inverse -- Time-VaryingMatrix Left Pseudoinverse -- Time-VaryingMatrix Right Pseudoinverse -- Time-VaryingMatrix Square Root -- Part IV ZF in Complex Domain -- Time-Varying Complex Reciprocal -- Time-Varying Complex Matrix Inverse -- Time-Varying Complex Matrix Generalized Inverse -- Part V ZF Application to Robot Control -- Application to Fixed-Base Robot RMP -- Application to Mobile Robot RMP.

This book focuses on solving different types of time-varying problems. It presents various Zhang dynamics (ZD) models by defining various Zhang functions (ZFs) in real and complex domains. It then provides theoretical analyses of such ZD models and illustrates their results. It also uses simulations to substantiate their efficacy and show the feasibility of the presented ZD approach (i.e., different ZFs leading to different ZD models), which is further applied to the repetitive motion planning (RMP) of redundant robots, showing its application potential.

ISBN: 9783662473344 (electronic bk.)

Standard No.: 10.1007/978-3-662-47334-4doiSubjects--Topical Terms:

221438
Functions.

LC Class. No.: QA331

Dewey Class. No.: 512.78

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505 0 $a Part I Scalar-Valued ZF in Real Domain -- Time-Varying Reciprocal -- Time-Varying Inverse Square Root -- Time-Varying Square Root -- Part II Vector-Valued ZF in Real Domain -- System of Time-Varying Linear Equations -- Over-Determined and Under-Determined Systems of Time-Varying Linear Equations -- Time-Varying Linear Matrix-Vector Inequality -- Part III Matrix-Valued ZF in Real Domain -- Time-VaryingMatrix Inverse -- Time-VaryingMatrix Left Pseudoinverse -- Time-VaryingMatrix Right Pseudoinverse -- Time-VaryingMatrix Square Root -- Part IV ZF in Complex Domain -- Time-Varying Complex Reciprocal -- Time-Varying Complex Matrix Inverse -- Time-Varying Complex Matrix Generalized Inverse -- Part V ZF Application to Robot Control -- Application to Fixed-Base Robot RMP -- Application to Mobile Robot RMP.
520 $a This book focuses on solving different types of time-varying problems. It presents various Zhang dynamics (ZD) models by defining various Zhang functions (ZFs) in real and complex domains. It then provides theoretical analyses of such ZD models and illustrates their results. It also uses simulations to substantiate their efficacy and show the feasibility of the presented ZD approach (i.e., different ZFs leading to different ZD models), which is further applied to the repetitive motion planning (RMP) of redundant robots, showing its application potential.
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