47 citations · 61 across the 7 of their papers we have counts for
8 papers
Output contraction analysis of nonlinear systems
Hao Yin, Bayu Jayawardhana, Stephan Trenn
This paper introduce the notion of output contraction that expands the contraction notion to the time-varying nonlinear systems with output. It pertains to the systems' property th…
Contraction analysis of time-varying DAE systems via auxiliary ODE systems
Hao Yin, Bayu Jayawardhana, Stephan Trenn
This paper studies the contraction property of time-varying differential-algebraic equation (DAE) systems by embedding them to higher-dimension ordinary differential equation (ODE)…
Asymptotic tracking by funnel control with internal models
Thomas Berger, Christoph M. Hackl, Stephan Trenn
Funnel control achieves output tracking with guaranteed tracking performance for unknown systems and arbitrary reference signals. In particular, the tracking error is guaranteed to…
Sampled-data funnel control and its use for safe continual learning
Lukas Lanza, Dario Dennstädt, Karl Worthmann +4
We propose a novel sampled-data output-feedback controller for nonlinear systems of arbitrary relative degree that ensures reference tracking within prescribed error bounds. We pro…
Edge-wise funnel output synchronization of heterogeneous agents with relative degree one
Jin Gyu Lee, Thomas Berger, Stephan Trenn +1
When a group of heterogeneous node dynamics are diffusively coupled with a high coupling gain, the group exhibits a collective emergent behavior which is governed by a simple algeb…
An approximation for nonlinear differential-algebraic equations via singular perturbation theory
Yahao Chen, Stephan Trenn
In this paper, we study jumps of nonlinear DAEs caused by inconsistent initial values. First, we propose a simple normal form called the index-1 nonlinear Weierstrass form (INWF) f…
Quasi feedback forms for differential-algebraic systems
Thomas Berger, Achim Ilchmann, Stephan Trenn
We investigate feedback forms for linear time-invariant systems described by differential-algebraic equations. Feedback forms are representatives of certain equivalence classes. Fo…
Synchronization with prescribed transient behavior: Heterogeneous multi-agent systems under funnel coupling Extended arXiv version
Jin Gyu Lee, Stephan Trenn, Hyungbo Shim
In this paper, we introduce a nonlinear time-varying coupling law, which can be designed in a fully decentralized manner and achieves approximate synchronization with arbitrary pre…