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Some problems in the theory of engineering systems (geometric approaches) / Alexander Milnikov and Archil Prangishvil, editors.
- Format:
- Book
- Series:
- Engineering Tools, Techniques and Tables
- Engineering tools, techniques and tables
- Language:
- English
- Subjects (All):
- Engineering mathematics.
- Engineering--Problems, exercises, etc.
- Engineering.
- Geometry.
- Physical Description:
- 1 online resource (137 p.)
- Place of Publication:
- Hauppauge, New York : Nova Science Publishers, 2013.
- Language Note:
- English
- 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
- 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.
- Notes:
- Description based upon print version of record.
- Includes bibliographical references and index.
- Description based on online resource; title from PDF title page (ebrary, viewed December 9, 2013).
- ISBN:
- 1-62948-035-5
- OCLC:
- 863157604
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