Based on a differential inclusion approach, the notion of quadratic H∞ performance is introduced for a rather general class of nonlinear descriptor systems. The approach is specialized to the performance analysis and controller synthesis of descriptor systems with norm bounded uncertainties. In this case quadratic H∞ performance can be characterized by means of parameterized linear matrix inequ...

The main result of the paper consists in graphical necessary and sufficient conditions which ensure the generic discrete mode observability of structured switching descriptor systems. The methods used in the previous studies on the observability of switching linear systems on standard form are not applicable to switching descriptor systems. So, we develop a new approach starting from bipartite ...

Linear descriptor systems form the natural way in which linear models of physical systems are delivered from an object-oriented modeling tool like Modelica. Linear descriptor systems are also known as linear differentialalgebraic equations in the continuous-time case. If some parameters in such models are unknown, one might need to estimate them from measured data from the modeled system. This ...