Efficient space–time reduced order model for linear dynamical systems in python using less than 120 lines of code

Y Kim, K Wang, Y Choi - Mathematics, 2021 - mdpi.com
A classical reduced order model (ROM) for dynamical problems typically involves only the
spatial reduction of a given problem. Recently, a novel space–time ROM for linear …

Data-driven model order reduction of linear switched systems in the Loewner framework

IV Gosea, M Petreczky, AC Antoulas - SIAM Journal on Scientific Computing, 2018 - SIAM
The Loewner framework for model reduction is extended to the class of linear switched
systems. One advantage of this framework is that it introduces a trade-off between accuracy …

Gramian-based reachability metrics for bilinear networks

Y Zhao, J Cortés - IEEE Transactions on Control of Network …, 2016 - ieeexplore.ieee.org
This paper studies Gramian-based reachability metrics for bilinear control systems. In the
context of complex networks, bilinear systems capture scenarios where an actuator not only …

Nonparametric system identification of stochastic switched linear systems

T Sarkar, A Rakhlin, M Dahleh - 2019 IEEE 58th Conference on …, 2019 - ieeexplore.ieee.org
We address the problem of learning the parameters of a mean square stable switched linear
systems (SLS) with unknown latent space dimension, or order, from its noisy input–output …

Balanced truncation for linear switched systems

IV Gosea, M Petreczky, AC Antoulas, C Fiter - Advances in Computational …, 2018 - Springer
We propose a model order reduction approach for balanced truncation of linear switched
systems. Such systems switch among a finite number of linear subsystems or modes. We …

Model reduction of switched affine systems

AV Papadopoulos, M Prandini - Automatica, 2016 - Elsevier
This paper addresses model reduction and extends balanced truncation to the class of
switched affine systems with endogenous switching. The switched affine system is rewritten …

Model order reduction for systems with moving loads

N Lang, J Saak, P Benner - at-Automatisierungstechnik, 2014 - degruyter.com
In this contribution we present two approaches allowing to find a reduced order approximant
of a full order model featuring a moving load term. First, we apply the Balanced Truncation …

Balanced truncation approach to model reduction of Markovian jump time-varying delay systems

H Zhang, L Wu, P Shi, Y Zhao - Journal of the Franklin Institute, 2015 - Elsevier
This paper investigates the model reduction problem based on balanced truncation for
uncertain continuous-time Markovian jump linear systems with time-varying delay in the …

Reachability and observability reduction for linear switched systems with constrained switching

M Baştuğ, M Petreczky, R Wisniewski, J Leth - Automatica, 2016 - Elsevier
We present an algorithm for reducing the number of continuous states of a discrete time
linear switched system, such that the reduced system has the same input–output behavior …

New Gramians for switched linear systems: reachability, observability, and model reduction

IP Duff, S Grundel, P Benner - IEEE Transactions on Automatic …, 2019 - ieeexplore.ieee.org
In this paper, we propose new algebraic Gramians for continuous-time switched linear
systems, which satisfy generalized Lyapunov equations. The main contribution of this paper …