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Long-term behavior ...
Long-term behavior of cross-dimensional linear dynamical systems
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- Zhang, Kuize (författare)
- KTH,Reglerteknik,ACCESS Linnaeus Centre,Harbin Engn Univ, Coll Automat, Harbin 150001, Heilongjiang, Peoples R China.
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- Johansson, Karl Henrik, 1967- (författare)
- KTH,Reglerteknik,ACCESS Linnaeus Centre
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(creator_code:org_t)
- Institute of Electrical and Electronics Engineers (IEEE), 2018
- 2018
- Engelska.
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Ingår i: 2018 37th Chinese Control Conference (CCC). - : Institute of Electrical and Electronics Engineers (IEEE). - 9789881563958 ; , s. 158-163
- Relaterad länk:
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https://urn.kb.se/re...
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visa fler...
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https://doi.org/10.2...
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)
Nyckelord
- Long-term behavior
- cross-dimensional vector space
- cross-dimensional linear dynamical system
- dimension-boundedness
- basis
- Drazin inverse
Publikations- och innehållstyp
- ref (ämneskategori)
- kon (ämneskategori)
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