187 citations · 388 across the 22 of their papers we have counts for
21 papers · 1 filter
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…
On the exactness of a stability test for Lur'e systems with slope-restricted nonlinearities
Andrey Kharitenko, Carsten W. Scherer
In this note it is shown that the famous multiplier absolute stability test of R. O'Shea, G. Zames and P. Falb is necessary and sufficient if the set of Lur'e interconnections is l…
Dissipativity, Convexity and Tight O'Shea-Zames-Falb Multipliers for Safety Guarantees
Carsten W. Scherer
We develop a novel convex parametrization of integral quadratic constraints with a terminal cost for subdifferentials of convex functions, involving general O'Shea-Zames-Falb multi…
Robust Differential Dynamic Programming
Dennis Gramlich, Carsten W. Scherer, Christian Ebenbauer
Differential Dynamic Programming is an optimal control technique often used for trajectory generation. Many variations of this algorithm have been developed in the literature, incl…
A Dynamic S-Procedure for Dynamic Uncertainties
Tobias Holicki, Carsten W. Scherer
We show how to compose robust stability tests for uncertain systems modeled as linear fractional representations and affected by various types of dynamic uncertainties. Our results…
Dissipativity and Integral Quadratic Constraints, Tailored computational robustness tests for complex interconnections
Carsten Scherer
A central notion in systems theory is dissipativity, which has been introduced by Jan Willems with the explicit goal of arriving at a fundamental understanding of the stability pro…
Convex Synthesis of Accelerated Gradient Algorithms
Carsten Scherer, Christian Ebenbauer
We present a convex solution for the design of generalized accelerated gradient algorithms for strongly convex objective functions with Lipschitz continuous gradients. We utilize i…
Revisiting and Generalizing the Dual Iteration for Static and Robust Output-Feedback Synthesis
Tobias Holicki, Carsten W. Scherer
The dual iteration was introduced in a conference paper in 1997 by Iwasaki as an iterative and heuristic procedure for the challenging and non-convex design of static output-feedba…
Convex Synthesis of Accelerated Gradient Algorithms for Optimization and Saddle Point Problems using Lyapunov functions
Dennis Gramlich, Christian Ebenbauer, Carsten W. Scherer
This paper considers the problem of designing accelerated gradient-based algorithms for optimization and saddle-point problems. The class of objective functions is defined by a gen…
Controller Design via Experimental Exploration with Robustness Guarantees
Tobias Holicki, Carsten W. Scherer, Sebastian Trimpe
For a partially unknown linear systems, we present a systematic control design approach based on generated data from measurements of closed-loop experiments with suitable test cont…
Integral Quadratic Constraints on Linear Infinite-dimensional Systems for Robust Stability Analysis
Matthieu Barreau, Carsten W. Scherer, Frederic Gouaisbaut +1
This paper proposes a framework to assess the stability of an ordinary differential equation which is coupled to a 1D-partial differential equation (PDE). The stability theorem is…
Lifting to Passivity for -Gain-Scheduling Synthesis with Full Block Scalings
Christian A. Rösinger, Carsten W. Scherer
We focus on the -gain-scheduling synthesis problem for time-varying parametric scheduling blocks with scalings. Recently, we have presented a solution of this proble…
Output-Feedback Synthesis for a Class of Aperiodic Impulsive Systems
Tobias Holicki, Carsten W. Scherer
We derive novel criteria for designing stabilizing dynamic output-feedback controllers for a class of aperiodic impulsive systems subject to a range dwell-time condition. Our synth…
Robust and structure exploiting optimization algorithms: An integral quadratic constraint approach
Simon Michalowsky, Carsten Scherer, Christian Ebenbauer
We consider the problem of analyzing and designing gradient-based discrete-time optimization algorithms for a class of unconstrained optimization problems having strongly convex ob…
Stability analysis by dynamic dissipation inequalities: On merging frequency-domain techniques with time-domain conditions
Carsten W. Scherer, Joost Veenman
In this paper we provide a complete link between dissipation theory and a celebrated result on stability analysis with integral quadratic constraints. This is achieved with a new s…
Structured -Optimal Control for Nested Interconnections: A State-Space Solution
Carsten W. Scherer
If imposing general structural constraints on controllers, it is unknown how to design -controllers by convex optimization. Under a so-called quadratic invariance structu…