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math.OC2020
Structured backward errors for eigenvalues of linear port-Hamiltonian descriptor systems
Volker Mehrmann, Paul Van Dooren
When computing the eigenstructure of matrix pencils associated with the passivity analysis of perturbed port-Hamiltonian descriptor system using a structured generalized eigenvalue…
math.OC2019
Computation of the analytic center of the solution set of the linear matrix inequality arising in continuous- and discrete-time passivity analysis
Daniel Bankmann, Volker Mehrmann, Yurii Nesterov +1
In this paper formulas are derived for the analytic center of the solution set of linear matrix inequalities (LMIs) defining passive transfer functions. The algebraic Riccati equat…