World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
33
Citations
5040
World Ranking
3036
National Ranking
179

Engineering and Technology

D-Index
36
Citations
5207
World Ranking
8721
National Ranking
204

Overview

Dominikus Noll is affiliated with Paul Sabatier University in France and has a research focus primarily in Mathematics and Engineering. Their work spans multiple subfields including Control and Systems Engineering, Numerical Analysis, Mathematical Physics, Statistical and Nonlinear Physics, and Geometry and Topology.

The scientist has contributed to various topics across their research career, particularly focusing on:

  • Quantum chaos and dynamical systems
  • Numerical methods for differential equations
  • Control and Stability of Dynamical Systems
  • Stability and Control of Uncertain Systems
  • Stability and Controllability of Differential Equations
  • Advanced Topology and Set Theory
  • Advanced Control Systems Optimization

Significant papers authored by Dominikus Noll include:

  • Banach-Mazur game and open mapping theorem, 2022, published in Topology and its Applications
  • Optimizing the Kreiss Constant, 2020, published in SIAM Journal on Control and Optimization
  • Boundary feedback control of an anti-stable wave equation, 2020, published in IMA Journal of Mathematical Control and Information
  • Mixed -synthesis for -stability, 2021, published in International Journal of Robust and Nonlinear Control
  • Robust control of systems with hyperbolic partial differential equations, 2022, published on arXiv (Cornell University)

Dominikus Noll frequently collaborates with several researchers, notably Pierre Apkarian and Anas Mifrani, with multiple joint publications particularly with Pierre Apkarian.

Their research has been disseminated through various publication venues, emphasizing contributions to:

  • arXiv (Cornell University)
  • Topology and its Applications
  • SIAM Journal on Control and Optimization
  • IMA Journal of Mathematical Control and Information
  • International Journal of Robust and Nonlinear Control

Best Publications

  • Nonsmooth H ∞ synthesis

    Pierre Apkarian;Dominikus Noll

  • Nonsmooth $H_infty$ Synthesis

    P. Apkarian;D. Noll

  • Robust control via sequential semidefinite programming

    B. Fares;D. Noll;P. Apkarian

  • Parametric Robust Structured Control Design

    Pierre Apkarian;Minh Ngoc Dao;Dominikus Noll

  • An augmented Lagrangian method for a class of LMI-constrained problems in robust control theory

    Bassem Fares;Pierre Apkarian;Dominikus Noll

  • Fixed-Order H∞ Control Design via a Partially Augmented Lagrangian Method

    Pierre Apkarian;Dominikus Noll;Hoang Duong Tuan

  • Mixed $H_2/H_\infty$ Control via Nonsmooth Optimization

    P. Apkarian;D. Noll;A. Rondepierre

  • Nonsmooth Optimization for Multidisk H∞ Synthesis

    Pierre Apkarian;Pierre Apkarian;Dominikus Noll

  • Brief paper: Nonsmooth optimization for multiband frequency domain control design

    Pierre Apkarian;Dominikus Noll

  • Joint minimization with alternating Bregman proximity operators

    Heinz H. Bauschke;Patrick L. Combettes;Dominikus Noll

  • Linear and strong convergence of algorithms involving averaged nonexpansive operators

    Heinz H. Bauschke;Dominikus Noll;Hung M. Phan

  • Second order differentiability of convex functions in Banach spaces

    Jonathan M. Borwein;Dominikus Noll

  • On Local Convergence of the Method of Alternating Projections

    Dominikus Noll;Aude Rondepierre

  • Controller Design via Nonsmooth Multidirectional Search

    Pierre Apkarian;Dominikus Noll

  • A Trust Region Spectral Bundle Method for Nonconvex Eigenvalue Optimization

    P. Apkarian;D. Noll;O. Prot

  • Non-smooth structured control design with application to PID loop-shaping of a process

    Pierre Apkarian;Pierre Apkarian;Vincent Bompart;Vincent Bompart;Dominikus Noll

  • A Spectral Quadratic-SDP Method with Applications to Fixed-Order H2 and H∞ Synthesis

    Pierre Apkarian;Pierre Apkarian;Dominikus Noll;Jean-Baptiste Thevenet;Jean-Baptiste Thevenet;Hoang Duong Tuan

  • A Proximity Control Algorithm to Minimize Nonsmooth and Nonconvex Functions

    Dominikus Noll;Olivier Prot;Aude Rondepierre

  • Convergence of Non-smooth Descent Methods Using the Kurdyka–Łojasiewicz Inequality

    Dominikus Noll

  • On the local convergence of the Douglas–Rachford algorithm

    Heinz H. Bauschke;D. Noll

  • Mixed H 2 /H ∞ control via nonsmooth optimization

    Pierre Apkarian;Dominikus Noll;Aude Rondepierre

Frequent Co-Authors

Pierre Apkarian
Pierre Apkarian Office National d'Études et de Recherches Aérospatiales
Heinz H. Bauschke
Heinz H. Bauschke University of British Columbia
Jonathan M. Borwein
Jonathan M. Borwein University of Newcastle Australia
Hoang Duong Tuan
Hoang Duong Tuan University of Technology Sydney
Adrian S. Lewis
Adrian S. Lewis Cornell University
Boris S. Mordukhovich
Boris S. Mordukhovich Wayne State University
Roger J.-B. Wets
Roger J.-B. Wets University of California, Davis
Aharon Ben-Tal
Aharon Ben-Tal Technion – Israel Institute of Technology
Moritz Diehl
Moritz Diehl University of Freiburg
Patrick L. Combettes
Patrick L. Combettes North Carolina State University

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