In the context of Galerkin discretizations of a partial differential equation (PDE), the modes of the classical method of proper orthogonal decomposition (POD) can be interpreted as the ansatz and trial functions of a low-dimensional Galerkin …
We discuss a Krylov subspace projection method for model order reduction of a special class of quadratic-bilinear descriptor systems. The goal is to extend the two-sided moment-matching method for quadratic-bilinear ODEs to descriptor systems in an …
We consider mechanical systems where the dynamics are partially constrained to prescribed trajectories. An example for such a system is a building crane with a load and the requirement that the load moves on a certain path. Enforcing this condition …
We investigate existence and structure of solutions to quadratic control problems with semiexplicit differential-algebraic constraints as they appear in the modeling of flows. We introduce a decoupled representation of the state and the formal …
Abstract.In the simulation of flows, the correct treatment of the pressure variable is the key to stabletime-integration schemes. This paper contributes a new approach based on the theory of differential-algebraic equations. Motivated by the index …
The construction of reduced order models for flow control via a direct discretization of the input/output behavior of the system is discussed. The spatially discretized equations are linearized such that an explicit formula for the corresponding …