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Title Some problems in the theory of engineering systems (geometric approaches) / editors, Alexander Milnikov and Archil Prangishvil (Georgian Technical University, Tbilisi, Georgia).

Publication Info. Hauppauge. New York : Nova Science Publishers, Inc., [2013]

Item Status

Description 1 online resource.
Physical Medium polychrome
Description text file
Series Engineering Tools, Techniques and Tables
Engineering tools, techniques and tables.
Bibliography Includes bibliographical references and index.
Contents Circuit tensor theory -- Topological fundamentals of the tensor circuit theory -- Topological invariants of circuits (power invariants) -- Operations of node division and connection -- Theoretical foundations of method of solving the complete problem on eigenvalues for many-dimensional oscillatory systems -- Some new results on estimation of roots of characteristic polynomials -- Algorithm of the new method of solution of the generalized problem on eigenvalues of many-dimensional electrical circuits -- Examples -- Solution of inverse and theory of spatial rotations group -- Solution of the inverse problem of kinematics of multi-joint spatial mechanisms -- A new algorithm of spatial rotations terminal control -- Control of terminal states of spatial rotations of robot-manipulators.
Summary It has been proven that to any electric circuit there exists a corresponding two pairs of conjugate linear vector spaces. One of these pairs is generated by a homological group, while the other is cohomological. A new method of analysis of mechanical and electric circuits is proposed, which consists of representing the main variables and matrices of oscillatory circuits in terms of many-dimensional tensor objects. A solution is obtained for the problem of defining eigenvalues of pure-loop and pure-node circuits. A new method is developed for defining a full range of eigenvalues of linear oscil.
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Engineering mathematics.
Engineering mathematics.
Engineering -- Problems, exercises, etc.
Engineering.
Geometry.
Geometry.
Genre/Form Problems and exercises.
Electronic books.
Electronic books.
Problems and exercises.
Added Author Milnikov, Alexander, editor.
Prangishvil, Archil, editor.
Other Form: Print version: Some problems in the theory of engineering systems (geometric approaches) 9781628089967 (DLC) 2013033664 (OCoLC)859168463
ISBN 9781629480350 (electronic book)
1629480355 (electronic book)
9781628089967
1628089962