TY - GEN A1 - Mehl, Christian A1 - Mehrmann, Volker A1 - Sharma, Punit T1 - Stability radii for real linear Hamiltonian systems with perturbed dissipation N2 - We study linear dissipative Hamiltonian (DH) systems with real constant coefficients that arise in energy based modeling of dynamical systems. In this paper we analyze when such a system is on the boundary of the region of asymptotic stability, i.e., when it has purely imaginary eigenvalues, or how much the dissipation term has to be perturbed to be on this boundary. For unstructured systems the explicit construction of the \emph{real distance to instability (real stability radius)} has been a challenging problem. In this paper, we analyze this real distance under different structured perturbations to the dissipation term that preserve the DH structure and we derive explicit formulas for this distance in terms of low rank perturbations. We also show (via numerical examples) that under real structured perturbations to the dissipation the asymptotical stability of a DH system is much more robust than for unstructured perturbations. KW - dissipative Hamiltonian system KW - port-Hamiltonian system KW - real distance to instability KW - real structured distance to instability KW - restricted real distance to instability Y1 - 2016 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/1392 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-13926 ER -