Kolloquium: M. Filipkovskaya, Verkin Institute, Ukraine: Qualitative and numerical analysis of differential-algebraic equations, and applications

Qualitative and numerical analysis of differential-algebraic equations, and
applications

Vortragende: Dr. Maria S. Filipkovska, B. Verkin ILTPE of NAS of Ukraine
Einladender: Karl-Hermann Neeb

Abstract:
Differential-algebraic equations (DAEs) or degenerate DEs
appear as mathematical models in control theory, where they are called
descriptor systems, radioelectronics, cybernetics, mechanics, robotics
technology, economics, ecology and chemical kinetics. DAEs are
particularly used in modeling various networks such as gas networks. A
feature of a DAE is that the graphs of its solutions lie in the manifold
which is determined by the algebraic part of the equation. For
time-varying semilinear DAEs, theorems on the global solvability, the
Lagrange and Lyapunov stability and the dissipativity are presented. We
state numerical methods for solving semilinear DAEs and discuss
applications of the obtained results. Certain mathematical models for
electrical circuits with nonlinear and time-varying elements are
considered in detail.

The Zoom link:

https://fau.zoom.us/j/69560139382?pwd=SFV1L0thZHdtUW1LR2Qrbm1uR1dOZz09

Meeting ID: 695 6013 9382
Passcode: 982205