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pro vyhledávání: '"SCHERER, P. W."'
We present a simple and effective way to account for non-convex costs and constraints~in~state feedback synthesis, and an interpretation for the variables in which state feedback synthesis is typically convex. We achieve this by deriving the controll
Externí odkaz:
http://arxiv.org/abs/2403.15228
Autor:
Meijer, T. J., Scheres, K. J. A., Eijnden, S. van den, Holicki, T., Scherer, C. W., Heemels, W. P. M. H.
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, thereby, it encompasses all existing non-strict versions of Finsler's lem
Externí odkaz:
http://arxiv.org/abs/2403.10306
In this work, we develop a method based on robust control techniques to synthesize robust time-varying state-feedback policies for finite, infinite, and receding horizon control problems subject to convex quadratic state and input constraints. To ens
Externí odkaz:
http://arxiv.org/abs/2310.11404
Autor:
Scherer, Carsten W.
We propose novel time-domain dynamic integral quadratic constraints with a terminal cost for exponentially weighted slope-restricted gradients of not necessarily convex functions. This extends recent results for subdifferentials of convex function an
Externí odkaz:
http://arxiv.org/abs/2306.00571
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 from robust control allow to design accelerated gradient descent algorit
Externí odkaz:
http://arxiv.org/abs/2306.00565
Autor:
Meijer, T. J., Holicki, T., Eijnden, S. J. A. M. van den, Scherer, C. W., Heemels, W. P. M. H.
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 and control. In its traditional formulation, the projection lemma onl
Externí odkaz:
http://arxiv.org/abs/2305.08735
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 the KYP Lemma and they play a crucial role in e.g. robustness analysi
Externí odkaz:
http://arxiv.org/abs/2304.05037
Autor:
Gramlich, Dennis, Pauli, Patricia, Scherer, Carsten W., Allgöwer, Frank, Ebenbauer, Christian
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 with convolution kernels, i.e., the impulse responses of linear filters
Externí odkaz:
http://arxiv.org/abs/2303.03042
Autor:
Holicki, Tobias, Scherer, Carsten W.
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 system with an impulsive operator. In order to systematically analyze suc
Externí odkaz:
http://arxiv.org/abs/2212.08837
Autor:
Holicki, Tobias, Scherer, Carsten W.
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 taking available (noisy) input-output data of the uncertain system into
Externí odkaz:
http://arxiv.org/abs/2211.02149