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Optimal robustness of passive discrete time systems

Mehrmann, Volker; Van Dooren, Paul

Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin

We 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.