StratiGraph tool: matrix stratifications in control applications. The software tool StratiGraph for computing and visualizing closure hierarchy graphs associated with different orbit and bundle stratifications is presented. In addition, we review the underlying theory and illustrate how StratiGraph can be used to analyze descriptor system models via their associated system pencils. The stratification theory provides information for a deeper understanding of how the dynamics of a control system and its system characteristics behave under perturbation.

References in zbMATH (referenced in 15 articles , 2 standard articles )

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  1. Dmytryshyn, Andrii: Structure preserving stratification of skew-symmetric matrix polynomials (2017)
  2. Dmytryshyn, Andrii; Johansson, Stefan; Kågström, Bo: Canonical structure transitions of system pencils (2017)
  3. Dmytryshyn, Andrii: Miniversal deformations of pairs of skew-symmetric matrices under congruence (2016)
  4. Ito, Shinji; Murota, Kazuo: An algorithm for the generalized eigenvalue problem for nonsquare matrix pencils by minimal perturbation approach (2016)
  5. Dmytryshyn, Andrii; Futorny, Vyacheslav; Kågström, Bo; Klimenko, Lena; Sergeichuk, Vladimir V.: Change of the congruence canonical form of 2-by-2 and 3-by-3 matrices under perturbations and bundles of matrices under congruence (2015)
  6. Dmytryshyn, Andrii; Kågström, Bo: Orbit closure hierarchies of skew-symmetric matrix pencils (2014)
  7. Futorny, Vyacheslav; Klimenko, Lena; Sergeichuk, Vladimir: Change of the $^*$congruence canonical form of 2-by-2 matrices under perturbations (2014)
  8. Johansson, Stefan; Kågström, Bo; Van Dooren, Paul: Stratification of full rank polynomial matrices (2013)
  9. Kågström, Bo; Johansson, Stefan; Johansson, Pedher: StratiGraph tool: matrix stratifications in control applications (2012)
  10. Elmroth, Erik; Johansson, Stefan; Kågström, Bo: Stratification of controllability and observability pairs-theory and use in applications (2009)
  11. Chu, Delin; Golub, Gene H.: On a generalized eigenvalue problem for nonsquare pencils (2006)
  12. Mailybaev, Alexei A.: Computation of multiple eigenvalues and generalized eigenvectors for matrices dependent on parameters. (2006)
  13. Boutry, Gregory; Elad, Michael; Golub, Gene H.; Milanfar, Peyman: The generalized eigenvalue problem for nonsquare pencils using a minimal perturbation approach (2005)
  14. Elmroth, Erik; Johansson, Pedher; Kågström, Bo: Computation and presentation of graphs displaying closure hierarchies of Jordan and Kronecker structures. (2001)
  15. Bai, Zhaojun (ed.); Demmel, James (ed.); Dongarra, Jack (ed.); Ruhe, Axel (ed.); Van der Vorst, Henk (ed.): Templates for the solution of algebraic eigenvalue problems. A practical guide (2000)