[HTML][HTML] Numerically efficient H∞ analysis of cooperative multi-agent systems

I Nakić, D Tolić, Z Tomljanović, I Palunko - Journal of the Franklin Institute, 2022 - Elsevier
This article proposes a numerically efficient approach for computing the maximal (or
minimal) impact one agent has on the cooperative system it belongs to. For example, if one …

Control of parameter dependent systems

M Lazar, J Lohéac - Handbook of Numerical Analysis, 2022 - Elsevier
In this chapter we provide an overview of recent progress on the problem of controllability of
parameter dependent systems. We explore different control notions successfully developed …

Finite time horizon mixed control of vibrational systems

I Nakić, MP Vidaković, Z Tomljanović - SIAM Journal on Scientific Computing, 2024 - SIAM
We consider a vibrational system control problem over a finite time horizon. The
performance measure of the system is taken to be a-mixed norm which generalizes the …

Sampling-free model reduction of systems with low-rank parameterization

C Beattie, S Gugercin, Z Tomljanović - Advances in computational …, 2020 - Springer
We consider the reduction of parametric families of linear dynamical systems having an
affine parameter dependence that allow for low-rank variation in the state matrix. Usual …

Optimal damping of vibrating systems: Dependence on initial conditions

K Lelas, I Nakić - Journal of Sound and Vibration, 2024 - Elsevier
Common criteria used for measuring performance of vibrating systems have one thing in
common: they do not depend on initial conditions of the system. In some cases it is assumed …

Damping optimization of the excited mechanical system using dimension reduction

Z Tomljanović - Mathematics and Computers in Simulation, 2023 - Elsevier
We consider a mechanical system excited by a periodic external force. The main problem is
to determine the best damping matrix to be able to minimize the system average …

Numerically Efficient Agents-to-Group H∞ Analysis

I Nakić, D Tolić, I Palunko, Z Tomljanović - IFAC-PapersOnLine, 2022 - Elsevier
This paper proposes a numerically efficient approach for computing the maximal/minimal
impact a subset of agents has on the cooperative system. For instance, if one is able to …

Sampling-free parametric model reduction for structured systems

C Beattie, S Gugercin, Z Tomljanovic - arXiv preprint arXiv:1912.11382, 2019 - arxiv.org
We consider the reduction of parametric families of linear dynamical systems having an
affine parameter dependence that differ from one another by a low-rank variation in the state …

[PDF][PDF] COST Action 18232 Mathematical Models for Interacting Dynamics on Networks WG 5: Numerical Methods and Applications–White Paper–

S Barbeiro, P Csomós, M Ehrhardt, J Giesselmann… - 2024 - mat-dyn-net.eu
Many physical, biological, chemical, financial, and social phenomena can be described by
dynamical systems and frequently the dynamics are coupled in a networked structure. The …

Fast computation of optimal damping parameters for linear vibrational systems

N Jakovčević Stor, I Slapničar, Z Tomljanović - Mathematics, 2022 - mdpi.com
We propose a fast algorithm for computing optimal viscosities of dampers of a linear
vibrational system. We are using a standard approach where the vibrational system is first …