BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Volker Mehrmann (Technische Universität Berlin\, Germany) DTSTART:20200513T140000Z DTEND:20200513T150000Z DTSTAMP:20260423T040933Z UID:E-NLA/4 DESCRIPTION:Title: Ro bustness of linear algebra properties for Port-Hamiltonian systems\nby Volker Mehrmann (Technische Universität Berlin\, Germany) as part of E-N LA - Online seminar series on numerical linear algebra\n\n\nAbstract\nPort -Hamiltonian systems are an important class of control systems that arise in all areas of science and engineering. When the system is linearized aro und a stationary solution one gets a linear port-Hamiltonian system. Despi te the fact that the system looks unstructured at first sight\, it has rem arkable properties. Stability and passivity are automatic\, spectral stru ctures for purely imaginary eigenvalues\, eigenvalues at infinity\, and ev en singular blocks in the Kronecker canonical form are very restricted and furthermore the structure leads to fast and efficient iterative solution methods for associated linear systems. When port-Hamiltonian systems are s ubject to (structured) perturbations\, then it is important to determine t he minimal allowed perturbations so that these properties are not preserve d. The computation of these structured distances to instability\, non-pass ivity\, or non-regularity\, is typically a very hard optimization problem. However\, in the context of port-Hamiltonian systems\, the computation be comes much easier and can even be implemented efficiently for large scale problems in combination with model reduction techniques. We will discuss t hese distances and the computational methods and illustrate the results vi a an industrial problem in the context of noise reduction for disk brakes. \n LOCATION:https://researchseminars.org/talk/E-NLA/4/ END:VEVENT END:VCALENDAR