Clustered model reduction of positive directed networks

T Ishizaki, K Kashima, A Girard, J Imura, L Chen… - Automatica, 2015 - Elsevier
This paper proposes a clustered model reduction method for semistable positive linear
systems evolving over directed networks. In this method, we construct a set of clusters, ie …

Approximate reduction of heterogenous nonlinear models with differential hulls

M Tschaikowski, M Tribastone - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
We present a model reduction technique for a class of nonlinear ordinary differential
equation (ODE) models of heterogeneous systems, where heterogeneity is expressed in …

Efficient model order reduction for multi-agent systems using QR decomposition-based clustering

P Mlinarić, S Grundel, P Benner - 2015 54th IEEE Conference …, 2015 - ieeexplore.ieee.org
In this paper we present an efficient model order reduction method for multi-agent systems
with Laplacian-based dynamics. The method combines an established model order …

Dissipativity-preserving model reduction for large-scale distributed control systems

T Ishizaki, H Sandberg, K Kashima… - … on Automatic Control, 2014 - ieeexplore.ieee.org
We propose a dissipativity-preserving structured model reduction method for distributed
control systems. As a fundamental tool to develop structured model reduction, we first …

Clustered model reduction of interconnected second-order systems

T Ishizaki, J Imura - Nonlinear Theory and Its Applications, IEICE, 2015 - jstage.jst.go.jp
In this paper, we propose a clustered model reduction method for interconnected second-
order systems evolving over undirected networks, which we call second-order networks. In …

Low-dimensional functional observer design for linear systems via observer reduction approach

T Sadamoto, T Ishizaki, J Imura - 52nd IEEE Conference on …, 2013 - ieeexplore.ieee.org
This paper proposes a design method for low-dimensional linear functional observers based
on a model reduction approach. In contrast to existing methods for designing approximate …

The price of connectedness in graph partitioning problems

N Martin, P Frasca, T Ishizaki, JI Imura… - 2019 18th European …, 2019 - ieeexplore.ieee.org
In this work, we present some results coming from the comparison of two classes of
problems of optimal graph partitioning. In the first class of problem, called further constrained …

Projective state observers for large-scale linear systems

T Sadamoto, T Ishizaki, J Imura - 2014 European Control …, 2014 - ieeexplore.ieee.org
In this paper, towards efficient state estimation for large-scale linear systems, we propose a
novel framework of low-dimensional functional state observers, which we call a projective …

H2 -clustering of closed-loop consensus networks under a class of LQR design

N Xue, A Chakrabortty - 2016 American Control Conference …, 2016 - ieeexplore.ieee.org
Given any positive integer r, our objective is to develop a strategy for grouping the states of a
n-node network into r≤ n distinct non-overlapping groups. The criterion for this partitioning …

Structured model reduction of interconnected linear systems based on singular perturbation

T Ishizaki, H Sandberg, KH Johansson… - 2013 American …, 2013 - ieeexplore.ieee.org
This paper proposes a singular perturbation approximation that preserves system passivity
and an interconnection topology among subsystems. In the first half of this paper, we …