4 papers
Conformal Dimension of Measures and Quasisymmetric Dimension Reduction
Hua Qiu, Qi Wang
We prove that the conformal dimension of every locally finite Borel measure is either zero or infinite. The main ingredient is a quasisymmetric dimension-reduction theorem: every f…
Data-Based Analysis of Relative Degree and Zero Dynamics in Linear Systems
Janina Schaa, Thomas Berger
Data-driven control offers a powerful alternative to traditional model-based methods, particularly when accurate system models are unavailable or prohibitively complex. While exist…
Funnel control with input filter for nonlinear systems with arbitrary relative degree
Janina Schaa, Thomas Berger
This paper addresses output reference tracking with prescribed transient performance for unknown nonlinear multi-input multi-output systems with arbitrary relative degree. We propo…
Funnel control with input filter for nonlinear systems of relative degree two
D. Dennstädt, J. Schaa, T. Berger
We address the problem of output reference tracking for unknown nonlinear multi-input, multi-output systems with relative degree two and bounded-input bounded-state (BIBS) stable i…