Singularities in stability analysis: From robust stability to dissipation-induced instabilities

Applied Analysis Seminar

Meeting Details

For more information about this meeting, contact Mark Levi, Alexei Novikov, Leonid Berlyand, Yakov Pesin.

Speaker: Oleg Kirillov, Magneto-Hydrodynamics (FWDH) Helmholtz-Zentrum Dresden-Rossendorf

Abstract: Stability analysis of physical and engineering systems is complicated in the presence of multiple governing parameters. For example, stability boundary becomes a non-smooth manifold with singularities. Practical needs require further separation of the domains of stability (instability) in order to distinguish between the character of decay (amplification) of a perturbation. The boundary of the domain of overdamping that is situated inside the domain of asymptotic stability has its own singularities. Surprisingly, these singularities correspond to the solutions of the spectral abscissa minimization problem. I will show how such separate at the first glance problems as robust stabilization and dissipation-induced instabilities are connected via the language of singularity theory. A broad range of physical applications will illustrate the theory.

Room Reservation Information

Room Number: 106 McAllister

Date: 04/15/2014

Time: 4:00pm - 5:00pm