Nature inspires engineers to build robots with soft and flexible materials. Advancements in
technology have opened doors for designing compliant and soft robots. Such robots find …

In the last few decades, soft robotics technologies have challenged conventional
approaches by introducing new, compliant bodies to the world of rigid robots. These …

The differential Sylvester equation and its symmetric version, the differential Lyapunov
equation, appear in different fields of applied mathematics like control theory, system theory …

In this paper, a new approach is proposed to approximate the high-order linear time
invariant (LTI) system into its low-order model. The proposed approach is a mixed method of …

We propose efficient algorithms for solving large-scale matrix differential equations. In
particular, we deal with the differential Riccati equations (DRE) and state the applicability to …

In this thesis, we investigate the numerical solution of large-scale, algebraic matrix
equations. The focus lies on numerical methods based on the alternating directions implicit …

This paper presents a stability-preserving model reduction approach for a vibro-acoustic
finite element model including poroelastic materials. Most of the research on these systems …

The simulation and control of complex technical systems in many fields of application, like
structural mechanics, electrothermics, or acoustics, requires methods for the efficient …

A general strategy for analysis and reduction of uncertain chemical kinetic models is
presented, and its utility is illustrated in the context of ignition of hydrocarbon fuel–air …

We consider high-order splitting schemes for large-scale differential Riccati equations. Such
equations arise in many different areas and are especially important within the field of …