2026 Fabian Wirth: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	33	3010	2688	183	167	230	6219

Overview

Fabian Wirth is affiliated with the University of Passau in Germany. Their research primarily focuses on engineering, with an emphasis on control and systems engineering. Their work also extends into related subfields such as computer networks and communications, cardiology and cardiovascular medicine, numerical analysis, and economics and econometrics.

The scientist's research covers several significant topics in engineering and applied mathematics. These include:

Control and Stability of Dynamical Systems
Stability and Controllability of Differential Equations
Stability and Control of Uncertain Systems
Cardiac Valve Diseases and Treatments
Numerical Methods for Differential Equations
Nonlinear Dynamics and Pattern Formation
Advanced Mathematical Modeling in Engineering

Fabian Wirth has published extensively, with recent papers covering a range of topics such as input-to-state stability, control of unstable parabolic equations, virtual power plants, and cardiac valve replacement assessments. Some notable recent publications include:

"Noncoercive Lyapunov Functions for Input-to-State Stability of Infinite-Dimensional Systems" (2020), published in SIAM Journal on Control and Optimization
"Local Stabilization of an Unstable Parabolic Equation via Saturated Controls" (2020), featured in IEEE Transactions on Automatic Control
"Predictability and Fairness in Load Aggregation and Operations of Virtual Power Plants" (2022), in Automatica
"Right Ventricular Assessment in Patients Undergoing Transcatheter or Surgical Aortic Valve Replacement" (2020), published by Catheterization and Cardiovascular Interventions
"A Relaxed Small-Gain Theorem for Discrete-Time Infinite Networks" (2022), also in Automatica

Their publications have appeared frequently in venues such as:

arXiv (Cornell University)
The Thoracic and Cardiovascular Surgeon
IEEE Control Systems Letters
SIAM Journal on Control and Optimization
Automatica

Fabian Wirth collaborates with several coauthors with whom multiple publications have been produced. Frequent collaborators include:

Andrii Mironchenko
Robert Shorten
Jeremias Epperlein
Jakub Mareček
Ramen Ghosh

Best Publications

Stability Criteria for Switched and Hybrid Systems

Robert Shorten;Fabian Wirth;Oliver Mason;Kai Wulff

1254
Citations
A positive systems model of TCP-like congestion control: asymptotic results

Robert Shorten;Fabian Wirth;Douglas Leith

544
Citations
Small gain theorems for large scale systems and construction of ISS Lyapunov functions

Sergey N. Dashkovskiy;Bjorn S. Ruffer;Fabian R. Wirth

421
Citations
An ISS small gain theorem for general networks

Sergey Dashkovskiy;Björn S. Rüffer;Fabian R. Wirth

370
Citations
On a Small Gain Theorem for ISS Networks in Dissipative Lyapunov Form

Sergey Dashkovskiy;Hiroshi Ito;Fabian Wirth

206
Citations
A spectral characterization of exponential stability for linear time-invariant systems on time scales

Christian Pötzsche;Stefan Siegmund;Fabian Wirth

185
Citations
The generalized spectral radius and extremal norms

Fabian Wirth

181
Citations
A generalization of Zubov's method to perturbed systems

F. Camilli;L. Grune;F. Wirth

170
Citations
Characterizations of Input-to-State Stability for Infinite-Dimensional Systems

Andrii Mironchenko;Fabian Wirth

166
Citations
A Generalization of Zubov's Method to Perturbed Systems

Fabio Camilli;Lars Grüne;Fabian Wirth

159
Citations
Asymptotic stability equals exponential stability, and ISS equals finite energy gain - if you twist your eyes

Lars Grüne;Eduardo D. Sontag;Fabian R. Wirth

140
Citations
Parsimonious event-triggered distributed control: A Zeno free approach ✩

C. De Persis;R. Sailer;F. Wirth

125
Citations
On a small gain theorem for ISS networks in dissipative Lyapunov form

Sergey Dashkovskiy;Hiroshi Ito;Fabian Wirth

93
Citations
A Converse Lyapunov Theorem for Linear Parameter-Varying and Linear Switching Systems

Fabian Wirth

87
Citations
Complex Polytope Extremality Results for Families of Matrices

N. Guglielmi;F. Wirth;M. Zennaro

87
Citations
Stability criteria for SIS epidemiological models under switching policies

Mustapha Ait Rami;Vahid Samadi Bokharaie;Oliver Mason;Fabian Wirth

77
Citations
Stabilizability of linear time-varying systems

Brian D. O. Anderson;Brian D. O. Anderson;Achim Ilchmann;Fabian R. Wirth

77
Citations
An alternative converse Lyapunov theorem for discrete-time systems

Roman Geiselhart;Rob H. Gielen;Mircea Lazar;Fabian R. Wirth

76
Citations
Control Lyapunov Functions and Zubov's Method

Fabio Camilli;Lars Grüne;Fabian Wirth

74
Citations
On a Small-Gain Approach to Distributed Event-Triggered Control

Claudio De Persis;Claudio De Persis;Rudolf Sailer;Fabian R. Wirth

71
Citations
Noncoercive Lyapunov Functions for Input-to-State Stability of Infinite-Dimensional Systems

Birgit Jacob;Andrii Mironchenko;Jonathan R. Partington;Fabian Wirth

66
Citations
A regularization of Zubov’s equation for robust domains of attraction

Fabio Camilli;Lars Grüne;Fabian Wirth

51
Citations
AIMD Dynamics and Distributed Resource Allocation

M. Corless;C. King;R. Shorten;F. Wirth

39
Citations
Event-Based Control

Lars Grüne;Sandra Hirche;Oliver Junge;Péter Koltai

23
Citations

Frequent Co-Authors

Robert Shorten Imperial College London

Lars Grüne University of Bayreuth

Claudio De Persis University of Groningen

Martin Corless Purdue University West Lafayette

Eduardo D. Sontag Northeastern University

Douglas J. Leith Trinity College Dublin

Mircea Lazar Eindhoven University of Technology

Brian D. O. Anderson Australian National University

Christophe Prieur Grenoble Alpes University

Jonathan R. Partington University of Leeds

External Links

Personal website of Fabian Wirth

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