A structured pseudospectral method for $$\mathcal {H}_\infty $$ H ∞ -norm computation of large-scale descriptor systems

Author:

Benner Peter,Voigt Matthias

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Control and Optimization,Signal Processing,Control and Systems Engineering

Reference49 articles.

1. Benner P, Byers R, Mehrmann V, Xu H (2002) Numerical computation of deflating subspaces of skew-Hamiltonian/Hamiltonian pencils. SIAM J Matrix Anal Appl 24:165–190

2. Benner P, Saak J, Schieweck F, Skrzypacz P, Weichelt HK (2012) A non-conforming composite quadrilateral finite element pair for feedback stabilization of the Stokes equations. J Numer Math. Accepted, also available as Max Planck Institute Magdeburg, Preprint MPIMD/12-19

3. Benner P, Sima V, Voigt M (2012) $${\cal L}_\infty $$ L ∞ -norm computation for continuous-time descriptor systems using structured matrix pencils. IEEE Trans Automat Control 57:233–238

4. Benner P, Sima V, Voigt M (2012) Robust and efficient algorithms for $${\cal L}_\infty $$ L ∞ -norm computation for descriptor systems. In: Proceedings of the 7th IFAC Symposium on Robust Control Design, Aalborg, Denmark, IFAC, pp 195–200

5. Benner P, Voigt M (2012) $${\cal {H}}_\infty $$ H ∞ -norm computation for large and sparse descriptor systems. Proc Appl Math Mech 12:797–800

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