5 papers
A Unified Non-Strict Finsler Lemma
T. J. Meijer, K. J. A. Scheres, S. van den Eijnden +3
In this paper, we present a unified general non-strict Finsler lemma. This result is general in the sense that it does not impose any restrictions on the involved matrices and, the…
Energy matching in reduced passive and port-Hamiltonian systems
Tobias Holicki, Jonas Nicodemus, Paul Schwerdtner +1
It is well known that any port-Hamiltonian (pH) system is passive, and conversely, any minimal and stable passive system has a pH representation. Nevertheless, this equivalence is…
Optimization Algorithm Synthesis based on Integral Quadratic Constraints: A Tutorial
Carsten W. Scherer, Christian Ebenbauer, Tobias Holicki
We expose in a tutorial fashion the mechanisms which underlie the synthesis of optimization algorithms based on dynamic integral quadratic constraints. We reveal how these tools fr…
The Non-Strict Projection Lemma
T. J. Meijer, T. Holicki, S. J. A. M. van den Eijnden +2
The projection lemma (often also referred to as the elimination lemma) is one of the most powerful and useful tools in the context of linear matrix inequalities for system analysis…
A structure exploiting SDP solver for robust controller synthesis
Dennis Gramlich, Tobias Holicki, Carsten W. Scherer +1
In this paper, we revisit structure exploiting SDP solvers dedicated to the solution of Kalman-Yakubovic-Popov semi-definite programs (KYP-SDPs). These SDPs inherit their name from…