WFRF:(Johansson Karl Henrik 1967 )
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- Zhang, KuizeKTH,Reglerteknik,ACCESS Linnaeus Centre,Harbin Engn Univ, Coll Automat, Harbin 150001, Heilongjiang, Peoples R China. (author)
Long-term behavior of cross-dimensional linear dynamical systems
- Article/chapterEnglish2018
Publisher, publication year, extent ...
- Institute of Electrical and Electronics Engineers (IEEE),2018
- printrdacarrier
Numbers
- LIBRIS-ID:oai:DiVA.org:kth-254151
- https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-254151URI
- https://doi.org/10.23919/ChiCC.2018.8482746DOI
Supplementary language notes
- Language:English
- Summary in:English
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- SwePubSwePub
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Notes
- QC 20190625
- Let M and V denote the sets of finite-dimensional matrices and finite-dimensional column vectors, respectively. Based on the semitensor product and the vector addition, M and V both form a monoid, where V is commutative. In addition, based on an equivalence relation. on V, the induced quotient space V/<-> forms a vector space. In this paper, we give a basis for the vector space V/<->, showing that V/<-> is of countably infinite dimension. In addition, we give an explicit characterization for how the dimension of a vector in V changes caused by the repetitive actions of a matrix in M on the vector, and characterize the generalized inverse behavior of the repetitive actions.
Subject headings and genre
- TEKNIK OCH TEKNOLOGIER Elektroteknik och elektronik Reglerteknik hsv//swe
- ENGINEERING AND TECHNOLOGY Electrical Engineering, Electronic Engineering, Information Engineering Control Engineering hsv//eng
- Long-term behavior
- cross-dimensional vector space
- cross-dimensional linear dynamical system
- dimension-boundedness
- basis
- Drazin inverse
Added entries (persons, corporate bodies, meetings, titles ...)
- Johansson, Karl Henrik,1967-KTH,Reglerteknik,ACCESS Linnaeus Centre(Swepub:kth)u1h0d9k2 (author)
- KTHReglerteknik (creator_code:org_t)
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- In:2018 37th Chinese Control Conference (CCC): Institute of Electrical and Electronics Engineers (IEEE), s. 158-1639789881563958
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