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Stratification of f...
Stratification of full rank polynomial matrices
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- Johansson, Stefan (author)
- Umeå universitet,Institutionen för datavetenskap,UMIT
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- Kågström, Bo (author)
- Umeå universitet,Institutionen för datavetenskap,Högpresterande beräkningscentrum norr (HPC2N),UMIT
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- Van Dooren, Paul (author)
- Department of Mathematical Engineering, Université catholique de Louvain
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(creator_code:org_t)
- Elsevier, 2013
- 2013
- English.
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In: Linear Algebra and its Applications. - : Elsevier. - 0024-3795 .- 1873-1856. ; 439:4, s. 1062-1090
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Abstract
Subject headings
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- We show that perturbations of polynomial matrices of full normal-rank can be analyzed viathe study of perturbations of companion form linearizations of such polynomial matrices.It is proved that a full normal-rank polynomial matrix has the same structural elements asits right (or left) linearization. Furthermore, the linearized pencil has a special structurethat can be taken into account when studying its stratification. This yields constraintson the set of achievable eigenstructures. We explicitly show which these constraints are.These results allow us to derive necessary and sufficient conditions for cover relationsbetween two orbits or bundles of the linearization of full normal-rank polynomial matrices.The stratification rules are applied to and illustrated on two artificial polynomial matricesand a half-car passive suspension system with four degrees of freedom.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Data- och informationsvetenskap -- Datavetenskap (hsv//swe)
- NATURAL SCIENCES -- Computer and Information Sciences -- Computer Sciences (hsv//eng)
Keyword
- polynomial matrices
- matrix pencils
- linearization
- perturbations
- stratification
- closure hierarchy
- cover relations
- StratiGraph
- Numerical Analysis
- numerisk analys
- Automatic Control
- reglerteknik
Publication and Content Type
- ref (subject category)
- art (subject category)
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