2 citations · 2 across the 9 of their papers we have counts for
9 papers · 1 filter
Stochastic Gradient Descent with Momentum: Analysis and Synthesis via Integral Quadratic Constraints
Dennis Gramlich, Carsten W. Scherer, Christian Ebenbauer
This article applies dynamic integral quadratic constraints (IQCs) to the analysis and synthesis of accelerated stochastic gradient algorithms. We consider composite objective func…
Structure, Analysis, and Synthesis of First-Order Algorithms
Jared Miller, Carsten Scherer, Fabian Jakob +1
First-order optimization algorithms can be interpreted through the lens of dynamical systems as the interconnection of linear systems and a set of subgradient nonlinearities. This…
Global Stability and Step Size Robustness of RMSProp
Naum Dimitrieski, Maria Christine Honecker, Carsten Scherer +1
In this paper, an input-to-state Lyapunov function for the RMSProp optimization algorithm is introduced. Global asymptotic stability of the RMSProp algorithm for constant step size…
Distributionally robust LMI synthesis for LTI systems
Dennis Gramlich, Shuhao Yan, Carsten W. Scherer +1
This article shows that distributionally robust controller synthesis as investigated in \cite{taskesen2024distributionally} can be formulated as a convex linear matrix inequality (…
Analysis and Synthesis of Switched Optimization Algorithms
Jared Miller, Fabian Jakob, Carsten Scherer +1
Deployment of optimization algorithms over communication networks face challenges associated with time delays and corruptions. Fixed time delays can destabilize popular gradient-ba…
Distributional Robustness in Output Feedback Regret-Optimal Control
Shuhao Yan, Carsten W. Scherer
This paper studies distributionally robust regret-optimal (DRRO) control with purified output feedback for linear systems subject to additive disturbances and measurement noise. Th…
On moment relaxations for linear state feedback controller synthesis with non-convex quadratic costs and constraints
Dennis Gramlich, Sheng Gao, Hao Zhang +2
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 s…
Synthesis of constrained robust feedback policies and model predictive control
Dennis Gramlich, Carsten W. Scherer, Hannah Häring +1
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 pr…
Gain-Scheduling Controller Synthesis for Nested Systems with Full Block Scalings
Christian A. Rösinger, Carsten W. Scherer
This work presents a framework to synthesize structured gain-scheduled controllers for structured plants whose dynamics change according to time-varying scheduling parameters. Both…