Vibration Reduction in Mechanical Systems

3rd Workshop on Optimal Control of Dynamical Systems and applications

March 28-April 1, 2022 at Department of Mathematics, J. J. Strossmayer University of Osijek

The goal of this workshop is to provide a coherent set of lectures that will adequately clarify the mathematical aspects of the (optimal) control of dynamical systems, with special emphasis on model reduction methods for large-scale systems and optimization. The special attention will be given to optimal damping problems since that this workshop is organized within DAAD project Accelerated solution of optimal damping problems (for period 2021-2022).  This project is bilateral cooperation with Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg, Germany.

Participation in this workshop is by invitation only and there is no registration fee. If the the pandemic situation allows, we are planning to organize an in-person event, but there will be also possibility to participate on-line.

Abstract and title of talk should be sent on email: workshop2022@mathos.hr until March, 15.  Abstract template is given here: abstract_template.tex

LECTURERS

Nijat Aliyev, Czech Technical University, Praha, Czech Republic

Quirin Aumann, Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg, Germany

Ion Victor Gosea, Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg, Germany

Pawan Goyal, Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg, Germany

Luka Grubišić, Department of Mathematics, University of Zagreb, Croatia

Serkan Gugercin, Virginia Tech, Blacksburg, USA

Ranjan Kumar Das, J. J. Strossmayer University of Osijek, Department of Mathematics, Croatia

Ivana Kuzmanović Ivičić, J. J. Strossmayer University of Osijek, Department of Mathematics, Croatia

Suzana Miodragović, J. J. Strossmayer University of Osijek, Department of Mathematics, Croatia

Petar Mlinarić, Virginia Tech, Blacksburg, USA

Ivica Nakić, Department of Mathematics, University of Zagreb, Croatia

Marinela Pilj Vidaković, J. J. Strossmayer University of Osijek, Department of Mathematics, Croatia

Igor Pontes Duff Pereira, Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg, Germany

Jennifer Przybilla, Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg, Germany

Jens Saak, Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg, Germany

Ivana Šain Glibić, Department of Mathematics, University of Zagreb, Croatia

Zoran Tomljanović, J. J. Strossmayer University of Osijek, Department of Mathematics, Croatia

Ninoslav Truhar, J. J. Strossmayer University of Osijek, Department of Mathematics, Croatia

Matea Ugrica, J. J. Strossmayer University of Osijek, Department of Mathematics, Croatia

Matthias Voigt, Fakultät für Mathematik, FernUni Schweiz, Switzerland

Steffen Werner, Department of Computer Science at the Courant Institute of Mathematical Sciences, New York University, USA

 

SHEDULE:

Lectures can be followed from lecture room 3 (first floor) on J. J. Strossmayer University of Osijek, Department of Mathematics. If you need zoom link, please contact organizing committee members.

Monday, March 28
15:00 15:45 Matthias Voigt, Structure-Preserving Balanced Truncation Model Reduction for
Symmetric Second-Order Systems
15:45 16:30 Luka Grubišić, Physics informed Tensor Network and Deep Neural Network Models for Approximating Eigenmodes
16:30 17:00 coffee break
17:00 17:30 Igor Pontes Duff Pereira, Full state approximation via Gramian-based Galerkin projection
17:30 18:00 Ion Victor Gosea, Structure-preserving data-driven modeling for mechanical systems
18:00 18:30 Petar Mlinarić, Structured $\mathcal{L}_2$-Optimal Parametric Model Order Reduction
19:00 21:00
Welcome reception at regional wine shop all4wine
Tuesday, March 29
15:00 15:45 Serkan Gugercin, A data-driven formulation for balanced truncation of linear and bilinear dynamical systems
15:45 16:30 Steffen Werner, A New Tangential Interpolation Framework for Model Reduction of Bilinear Systems
16:30 17:00 coffee break
17:00 17:30 Jens Saak, Auto-adaptive Moment Matching-type PMOR via low-rank (tensor) approximation
17:30 18:00 Pawan Goyal, Learning for Low-Dimensional Nonlinear Dynamical Systems Using Operator Inference
18:00 18:30 Marinela Pilj Vidaković, Finite time horizon mixed control of vibrational systems
Wednesday, March 30
15:00 15:30 Quirin Aumann, Assessment of locally resonant structures using adaptive parametric model order reduction
15:30 16:00 Ivica Nakić, Optimal control of parabolic equations — a spectral calculus based approach
16:00 16:30 Ninoslav Truhar, Optimal positioning of dampers in mechanical systems
16:30 17:00 coffee break
17:00 17:30 Matea Ugrica, Fast optimization of viscosities for frequency-weighted damping of second-order systems
17:30 18:00 Jennifer Przybilla, Semi-active Damping Optimization of Vibrational Systems using the Reduced Basis Method
18:00 18:30 Zoran Tomljanović, Numerically Efficient Agents-to-Group $H_{\infty}$ Analysis
19:00
Workshop dinner at Hotel Osijek Zimska luka restaurant
Thursday, March 31
15:00 15:45 Ranjan Kumar Das, Fiedler-like structure preserving strong linearizations for structured matrix polynomials
15:45 16:15 Nicat Aliyev, Subspace Method for the Estimation of Large-Scale Structured Real Stability Radius
16:15 16:45 coffee break
16:45 17:15 Ivana Šain Glibić, Singular quadratic eigenvalue problems: Linearization and weak condition numbers
17:15 17:45 Ivana Kuzmanović Ivičić, Perturbation bounds for a stable gyroscopic systems
17:45 18:15 Suzana Miodragović, The tan $\Theta$ theorem for definite matrix pairs

Book of the abstracts is available here.

SUPPORTED BY:

Accommodation. There are different accommodation options around Department of Mathematics. We recommend the following:

The organizing committee members:  Suzana Miodragović,  Jens Saak,  Zoran Tomljanović.

Workshop photo: