[HTML][HTML] An overview of structural systems theory

G Ramos, AP Aguiar, S Pequito - Automatica, 2022 - Elsevier
This paper provides an overview of the research conducted in the context of structural (or
structured) systems. These are parametrized models used to assess and design system …

Structural systems theory: an overview of the last 15 years

G Ramos, AP Aguiar, S Pequito - arXiv preprint arXiv:2008.11223, 2020 - arxiv.org
In this paper, we provide an overview of the research conducted in the context of structural
systems since the latest survey by Dion et al. in 2003. We systematically consider all the …

On the exponential number of connected components for the feasible set of optimal decentralized control problems

H Feng, J Lavaei - 2019 American Control Conference (ACC), 2019 - ieeexplore.ieee.org
The optimal decentralized control (ODC) problem is known to be NP-hard and many
sufficient tractability conditions have been derived in the literature for its convex …

Connectivity properties of the set of stabilizing static decentralized controllers

H Feng, J Lavaei - SIAM Journal on Control and Optimization, 2020 - SIAM
The NP-hardness of the optimal decentralized control (ODC) problem is reflected in the
properties of its feasible set. We study the complexity of the ODC problem through an …

Classification of the structurally controllable zero-patterns for driftless bilinear control systems

A Tsopelakos, MA Belabbas… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
We introduce and study the structural controllability of driftless bilinear control systems. We
study two cases: in the first, the system matrices belong to one zero-pattern, and in the …

Sparse linear ensemble systems and structural controllability

X Chen - IEEE Transactions on Automatic Control, 2021 - ieeexplore.ieee.org
The article introduces and solves a structural controllability problem for continuum
ensembles of linear time-invariant systems. All the individual linear systems of an ensemble …

Distributed averaging with linear objective maps

X Chen, MA Belabbas, T Başar - Automatica, 2016 - Elsevier
A distributed averaging system is a linear multi-agent system in which agents communicate
to reach an agreement (or a consensus) state, defined as the average of the initial states of …

Stability of dynamical systems on a graph

M Pirani, T Costa, S Sundaram - 53rd IEEE Conference on …, 2014 - ieeexplore.ieee.org
We study the stability of large-scale discrete-time dynamical systems that are composed of
interconnected subsystems. The stability of such systems is a function of both the dynamics …

On the H-Property for Step-Graphons and Edge Polytopes

MA Belabbas, X Chen, T Başar - IEEE Control Systems Letters, 2021 - ieeexplore.ieee.org
Graphons can be used as stochastic models to sample graphs on nodes for arbitrarily large.
A graphon is said to have the-property if admits a decomposition into disjoint cycles with …

Necessary conditions for controllability of nonlinear networked control systems

CO Aguilar, B Gharesifard - 2014 american control conference, 2014 - ieeexplore.ieee.org
In this paper, we study the controllability of nonlinear networked systems. In particular, we
describe how graph symmetries combined with dynamic symmetries result in a loss of …