Browsing Oberwolfach Reports by MSC "93"

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    • 2345 - Control Methods in Hyperbolic Partial Differential Equations 

      [OWR-2023-52] Workshop Report 2023,52 (2023) - (05 Nov - 10 Nov 2023)
      Control of hyperbolic partial differential equations (PDEs) is a truly interdisciplinary area of research in applied mathematics nurtured by challenging problems arising in most modern applications ranging from road traffic, ...

    • 1509 - Control Theory: A Mathematical Perspective on Cyber-Physical Systems 

      [OWR-2015-12] Workshop Report 2015,12 (2015) - (22 Feb - 28 Feb 2015)
      Control theory is an interdisciplinary field that is located at the crossroads of pure and applied mathematics with systems engineering and the sciences. Recently the control field is facing new challenges motivated by ...

    • 1209 - Control Theory: Mathematical Perspectives on Complex Networked Systems 

      [OWR-2012-12] Workshop Report 2012,12 (2012) - (26 Feb - 03 Mar 2012)
      Control theory is an interdisciplinary field that is located at the crossroads of pure and applied mathematics with systems engineering and the sciences. Its range of applicability and its techniques evolve rapidly with ...

    • 0909 - Control Theory: On the Way to New Application Fields 

      [OWR-2009-11] Workshop Report 2009,11 (2009) - (22 Feb - 28 Feb 2009)
      Control theory is an interdisciplinary field that is located at the crossroads of pure and applied mathematics with systems engineering and the sciences. Recently, deep interactions are emerging with new application areas, ...

    • 1744b - Copositivity and Complete Positivity 

      [OWR-2017-52] Workshop Report 2017,52 (2017) - (29 Oct - 04 Nov 2017)
      A real matrix $A$ is called copositive if $x^TAx \ge 0$ holds for all $x \in \mathbb R^n_+$. A matrix $A$ is called completely positive if it can be factorized as $A = BB^T$ , where $B$ is an entrywise nonnegative matrix. ...

    • 1646 - Large Scale Stochastic Dynamics 

      [OWR-2016-54] Workshop Report 2016,54 (2016) - (13 Nov - 19 Nov 2016)
      The goal of this workshop was to explore the recent advances in the mathematical understanding of the macroscopic properties which emerge on large space-time scales from interacting microscopic particle systems. There were ...

    • 1249 - Mathematical and Algorithmic Aspects of Atmosphere-Ocean Data Assimilation 

      [OWR-2012-58] Workshop Report 2012,58 (2012) - (02 Dec - 08 Dec 2012)
      The nomenclature “data assimilation” arises from applications in the geosciences where complex mathematical models are interfaced with observational data in order to improve model forecasts. Mathematically, data assimilation ...

    • 2119a - Mini-Workshop: Analysis of Data-driven Optimal Control (hybrid meeting) 

      [OWR-2021-23] Workshop Report 2021,23 (2021) - (09 May - 15 May 2021)
      This hybrid mini-workshop discussed recent mathematical methods for analyzing the opportunities and limitations of data-driven and machine-learning approaches to optimal feedback control. The analysis concerned all aspects ...

    • 1606b - Mini-Workshop: Applied Koopmanism 

      [OWR-2016-7] Workshop Report 2016,7 (2016) - (07 Feb - 13 Feb 2016)
      Koopman and Perron–Frobenius operators are linear operators that encapsulate dynamics of nonlinear dynamical systems without loss of information. This is accomplished by embedding the dynamics into a larger infinite-dimensional ...

    • 2450c - Mini-Workshop: Data-driven Modeling, Analysis, and Control of Dynamical Systems 

      [OWR-2024-57] Workshop Report 2024,57 (2024) - (08 Dec - 13 Dec 2024)
      With the rapid increase in data resources and computational power as well as the accompanying current trend to incorporate machine learning into existing methods, data-driven approaches for modelling, analysis, and control ...

    • 1810b - Mini-Workshop: Entropy, Information and Control 

      [OWR-2018-10] Workshop Report 2018,10 (2018) - (04 Mar - 10 Mar 2018)
      This mini-workshop was motivated by the emerging field of networked control, which combines concepts from the disciplines of control theory, information theory and dynamical systems. Many current approaches to networked ...

    • 2119b - Mini-Workshop: Mathematics of Dissipation - Dynamics, Data and Control (hybrid meeting) 

      [OWR-2021-24] Workshop Report 2021,24 (2021) - (09 May - 15 May 2021)
      Dissipation of energy --- as well as its sibling the increase of entropy --- are fundamental facts inherent to any physical system. The concept of dissipativity has been extended to a more general system theoretic setting ...

    • 1545c - Mini-Workshop: Recent Developments on Approximation Methods for Controlled Evolution Equations 

      [OWR-2015-50] Workshop Report 2015,50 (2015) - (01 Nov - 07 Nov 2015)
      This mini-workshop brought together mathematicians engaged in partial differential equations, functional analysis, numerical analysis and systems theory in order to address a number of current problems in the approximation ...

    • 1050b - Mini-Workshop: Wellposedness and Controllability of Evolution Equations 

      [OWR-2010-56] Workshop Report 2010,56 (2010) - (12 Dec - 18 Dec 2010)
      This mini-workshop brought together mathematicians engaged in partial differential equations, operator theory, functional analysis and harmonic analysis in order to address a number of current problems in the wellposedness ...

    • 1305 - Numerical Methods for PDE Constrained Optimization with Uncertain Data 

      [OWR-2013-4] Workshop Report 2013,4 (2013) - (27 Jan - 02 Feb 2013)
      Optimization problems governed by partial differential equations (PDEs) arise in many applications in the form of optimal control, optimal design, or parameter identification problems. In most applications, parameters in ...

    • 0905 - Numerical Techniques for Optimization Problems with PDE Constraints 

      [OWR-2009-4] Workshop Report 2009,4 (2009) - (25 Jan - 31 Jan 2009)
      The development, analysis and implementation of efficient and robust numerical techniques for optimization problems associated with partial differential equations (PDEs) is of utmost importance for the optimal control of ...

    • 2431 - Polynomial Optimization for Nonlinear Dynamics: Theory, Algorithms, and Applications 

      [OWR-2024-35] Workshop Report 2024,35 (2024) - (28 Jul - 02 Aug 2024)
      This workshop focused on using computational tools of polynomial optimization to deduce information about nonlinear dynamical systems, including systems governed by ordinary or partial differential equations. This approach ...

    • 2010 - Real Algebraic Geometry with a View Toward Hyperbolic Programming and Free Probability 

      [OWR-2020-12] Workshop Report 2020,12 (2020) - (01 Mar - 07 Mar 2020)
      Continuing the tradition initiated in the MFO workshops held in 2014 and 2017, this workshop was dedicated to the newest developments in real algebraic geometry and polynomial optimization, with a particular emphasis on ...

    • 2311 - Real Algebraic Geometry with a View toward Koopman Operator Methods 

      [OWR-2023-14] Workshop Report 2023,14 (2023) - (12 Mar - 17 Mar 2023)
      This workshop was dedicated to the newest developments in real algebraic geometry and their interaction with convex optimization and operator theory. A particular effort was invested in exploring the interrelations with ...

    • 1710 - Real Algebraic Geometry With a View Toward Moment Problems and Optimization 

      [OWR-2017-14] Workshop Report 2017,14 (2017) - (05 Mar - 11 Mar 2017)
      Continuing the tradition initiated in MFO workshop held in 2014, the aim of this workshop was to foster the interaction between real algebraic geometry, operator theory, optimization, and algorithms for systems control. A ...