Mehrmann, VolkerPetkov, Petko2021-12-172021-12-172005-03-102197-8085https://depositonce.tu-berlin.de/handle/11303/15569http://dx.doi.org/10.14279/depositonce-14342We compare the numerical properties of the different numerical methods for solving the H-infinity optimization problems for linear discrete-time systems. It is shown that the methods based on the solution of the associated discrete-time algebraic Riccati equation may be unstable due to an unnecessary increase in the condition number and that they have restricted application for ill-conditioned and singular problems. The experiments confirm that the numerical solution methods that are based on the solution of a Linear Matrix Inequality (LMI) are a much more reliable although much more expensive numerical technique for solving H-infinity optimization problems. Directions for developing high-performance software for H-infinity optimization are discussed.en510 MathematikH-infinity-optimizationH-infinity-controldiscrete-time systemlinear matrix inequalitydiscrete-time algebraic Riccati equationResearch Paper