Linear Perturbation Theory for Structured Matrix Pencils Arising in Control Theory | Zendy

Shreemayee Bora | Zendy; Volker Mehrmann | Zendy

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Linear Perturbation Theory for Structured Matrix Pencils Arising in Control Theory

Author(s) -

Shreemayee Bora,

Volker Mehrmann

Publication year - 2006

Publication title -

siam journal on matrix analysis and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.268

H-Index - 101

eISSN - 1095-7162

pISSN - 0895-4798

DOI - 10.1137/040609355

Subject(s) - mathematics , linear system , skew symmetric matrix , skew , matrix (chemical analysis) , computation , symmetric matrix , algebra over a field , pure mathematics , mathematical analysis , square matrix , algorithm , computer science , physics , materials science , quantum mechanics , composite material , telecommunications , eigenvalues and eigenvectors

We investigate the effect of linear perturbations on several structured matrix pencils arising in control theory. These include skew-symmetric/symmetric pencils arising in the computation of optimal H infty control and linear-quadratic control for continuous and discrete time systems.

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