Mehrmann, VolkerVan Dooren, Paul2021-12-172021-12-172019-11-272197-8085https://depositonce.tu-berlin.de/handle/11303/15914http://dx.doi.org/10.14279/depositonce-14687We construct optimally robust realizations of a given rational transfer function that represents a passive discrete-time system. We link it to the solution set of linear matrix inequalities defining passive transfer functions. We also consider the problem of finding the nearest passive system to a given non-passive one.en510 Mathematiklinear matrix inequalitypassivityrobustnessdiscrete-time systemport-Hamiltonian systemResearch Paper