Stratification of Controllability and Observability Pairs—Theory and Use in Applications

DOI10.1137/080717547zbMath1190.93008OpenAlexW2116047467MaRDI QIDQ3561153

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Publication date: 25 May 2010

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/080717547

zbMATH Keywords

bundlestratificationobservabilitycontrollabilityrobustnessorbitmatrix pairsclosure hierarchycover relationsKronecker structuresstratigraph

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Controllability (93B05) Observability (93B07) Control problems involving ordinary differential equations (34H05) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)

Related Items (10)

Classification of pairs of linear mappings between two vector spaces and between their quotient space and subspace ⋮ Structure preserving stratification of skew-symmetric matrix polynomials ⋮ The solution of the equation \(XA+AX^T=0\) and its application to the theory of orbits ⋮ Stratification of full rank polynomial matrices ⋮ Canonical Structure Transitions of System Pencils ⋮ Geometry of matrix polynomial spaces ⋮ Skew-symmetric matrix pencils: Codimension counts and the solution of a pair of matrix equations ⋮ Change of the congruence canonical form of 2-by-2 and 3-by-3 matrices under perturbations and bundles of matrices under congruence ⋮ The rank distance problem for pairs of matrices and a completion of quasi-regular matrix pencils ⋮ Miniversal deformations of pairs of skew-symmetric matrices under congruence

Uses Software

• StratiGraph

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