no code implementations • 11 Dec 2023 • 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.
no code implementations • 11 Dec 2023 • Hao Yin, Bayu Jayawardhana, Stephan Trenn
The first result pertains to the equivalence of the contraction of a DAE system and the uniform global exponential stability (UGES) of its variational DAE system.
no code implementations • 11 Oct 2021 • Jin Gyu Lee, Thomas Berger, Stephan Trenn, Hyungbo Shim
However, to compute the magnitude of the coupling gain, each agent needs to know global information such as the number of participating nodes, the graph structure, and so on, which prevents a fully decentralized design of the node dynamics in conjunction with the coupling laws.
no code implementations • 22 Mar 2021 • Yahao Chen, Stephan Trenn
In this paper, we study jumps of nonlinear DAEs caused by inconsistent initial values.
no code implementations • 29 Dec 2020 • Jin Gyu Lee, Stephan Trenn, Hyungbo Shim
The proposed coupling law is motivated by the so-called funnel control method studied in adaptive control under the observation that arbitrary precision synchronization can be achieved for heterogeneous multi-agent systems by a high-gain coupling; consequently we call our novel synchronization method `(node-wise) funnel coupling.'
