187 citations · 388 across the 22 of their papers we have counts for
25 papers
Robust Exponential Stability and Invariance Guarantees with General Dynamic O'Shea-Zames-Falb Multipliers
Carsten W. Scherer
We propose novel time-domain dynamic integral quadratic constraints with a terminal cost for exponentially weighted slope-restricted gradients of not necessarily convex functions.…
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…
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…
Convolutional Neural Networks as 2-D systems
Dennis Gramlich, Patricia Pauli, Carsten W. Scherer +2
This paper introduces a novel representation of convolutional Neural Networks (CNNs) in terms of 2-D dynamical systems. To this end, the usual description of convolutional layers w…
IQC Based Analysis and Estimator Design for Discrete-Time Systems Affected by Impulsive Uncertainties
Tobias Holicki, Carsten W. Scherer
We propose novel quadratic performance tests for linear discrete-time impulsive systems based on viewing these systems as feedback interconnections of some non-impulsive linear sys…
Input-Output-Data-Enhanced Robust Analysis via Lifting
Tobias Holicki, Carsten W. Scherer
Starting from a linear fractional representation of a linear system affected by constant parametric uncertainties, we demonstrate how to enhance standard robust analysis tests by t…