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Journal article
Noncommutative rational functions, their difference-differential calculus and realizations
Multidimensional systems and signal processing, v 23(1-2)
01 Jun 2012
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Abstract
Noncommutative rational functions appeared in many contexts in system theory and control, from the theory of finite automata and formal languages to robust control and LMIs. We survey the construction of noncommutative rational functions, their realization theory and some of their applications. We also develop a difference-differential calculus as a tool for further analysis.
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Details
- Title
- Noncommutative rational functions, their difference-differential calculus and realizations
- Creators
- Dmitry S. Kaliuzhnyi-Verbovetskyi - Drexel UniversityVictor Vinnikov - Ben-Gurion University of the Negev
- Publication Details
- Multidimensional systems and signal processing, v 23(1-2)
- Publisher
- Springer Nature
- Number of pages
- 29
- Grant note
- DMS 0901628 / NSF; National Science Foundation (NSF) Israel Science Foundation Center for Advanced Studies in Mathematics
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000298881400004
- Scopus ID
- 2-s2.0-84855801617
- Other Identifier
- 991019169002604721
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Computer Science, Theory & Methods
- Engineering, Electrical & Electronic