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Zhang Functions and Various Models
Author
Title
Zhang Functions and Various Models [electronic resource] / by Yunong Zhang, Dongsheng Guo.
ISBN
9783662473344
Publication
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2015.
Physical Description
XXI, 236 p. 119 illus., 83 illus. in color : online resource.
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Summary
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.
Variant and related titles
Springer ebooks.
Other formats
Printed edition:
Format
Books / Online
Language
English
Added to Catalog
June 03, 2015
Contents
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.
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