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Diffusion describes the motion of microscopic entities from regions of high concentration to regions of low concentration. In multiplex networks, flows can occur both within and across layers, and super-diffusion, a regime where the time…

Physics and Society · Physics 2019-04-02 Giulia Cencetti , Federico Battiston

Neural network modeling is a key technology of science and research and a platform for deployment of algorithms to systems. In wireless communications, system modeling plays a pivotal role for interference cancellation with specifically…

Signal Processing · Electrical Eng. & Systems 2024-10-02 Gerald Enzner , Aleksej Chinaev , Svantje Voit , Aydin Sezgin

One of the most important challenges in network science is to quantify the information encoded in complex network structures. Disentangling randomness from organizational principles is even more demanding when networks have a multiplex…

Representing various networked data as multiplex networks, networks of networks and other multilayer networks can reveal completely new types of structures in these system. We introduce a general and principled graphlet framework for…

Physics and Society · Physics 2022-04-22 Sallamari Sallmen , Tarmo Nurmi , Mikko Kivelä

The need to build a link between the structure of a complex network and the dynamical properties of the corresponding complex system (comprised of multiple low dimensional systems) has recently become apparent. Several attempts to tackle…

Chaotic Dynamics · Physics 2012-06-18 Michael Small , Kevin Judd , Thomas Stemler

This paper reviews the main network analysis methods used to measure structural power, which refers to the ability to shape outcomes through network position and influence, and the ability to affect others through network connections. These…

We present a structured neural network architecture that is inspired by linear time-varying dynamical systems. The network is designed to mimic the properties of linear dynamical systems which makes analysis and control simple. The…

Robotics · Computer Science 2018-08-06 Alexander Broad , Ian Abraham , Todd Murphey , Brenna Argall

An increasing number of complex systems are now modeled as networks of coupled dynamical entities. Nonlinearity and high-dimensionality are hallmarks of the dynamics of such networks but have generally been regarded as obstacles to control.…

Disordered Systems and Neural Networks · Physics 2015-12-07 Adilson E. Motter

Many real-world complex systems consist of a set of elementary units connected by relationships of different kinds. All such systems are better described in terms of multiplex networks, where the links at each layer represent a different…

Physics and Society · Physics 2014-03-17 Federico Battiston , Vincenzo Nicosia , Vito Latora

Distributed control strategies applied to power distribution control problems are meant to offer robust and scalable integration of distributed energy resources. However, the term "distributed control" is often loosely applied to a variety…

Systems and Control · Computer Science 2016-06-14 Xue Han , Kai Heussen , Oliver Gehrke , Henrik W. Bindner , Benjamin Kroposki

The behavior of many complex systems is determined by a core of densely interconnected units. While many methods are available to identify the core of a network when connections between nodes are all of the same type, a principled approach…

Neurons and Cognition · Quantitative Biology 2018-09-14 Federico Battiston , Jeremy Guillon , Mario Chavez , Vito Latora , Fabrizio De Vico Fallani

In this paper, we consider the optimal control of material micro-structures. Such material micro-structures are modeled by the so-called phase field model. We study the underlying physical structure of the model and propose a data based…

Systems and Control · Electrical Eng. & Systems 2022-10-14 Aayushman Sharma , Zirui Mao , Haiying Yang , Suman Chakravorty , Michael J Demkowicz , Dileep Kalathil

We present a method for optimal control with respect to a linear cost function for positive linear systems with coupled input constraints. We show that the optimal cost function and resulting sparse state feedback for these systems can be…

Optimization and Control · Mathematics 2023-11-07 David Ohlin , Emma Tegling , Anders Rantzer

We formulate a general mathematical framework for self-tuning network control architecture design. This problem involves jointly adapting the locations of active sensors and actuators in the network and the feedback control policy to all…

Optimization and Control · Mathematics 2023-01-18 Tyler Summers , Karthik Ganapathy , Iman Shames , Mathias Hudoba de Badyn

We study a class of structured optimal control problems in which the main diagonal of the dynamic matrix is a linear function of the design variable. While such problems are in general challenging and nonconvex, for positive systems we…

Optimization and Control · Mathematics 2019-07-09 Neil K. Dhingra , Marcello Colombino , Mihailo R. Jovanović

The field of optimal control typically requires the assumption of perfect knowledge of the system one desires to control, which is an unrealistic assumption for biological systems, or networks, typically affected by high levels of…

Optimization and Control · Mathematics 2021-04-28 Isaac Klickstein , Francesco Sorrentino

The brain is a complex organ characterized by heterogeneous patterns of structural connections supporting unparalleled feats of cognition and a wide range of behaviors. New noninvasive imaging techniques now allow these patterns to be…

Neurons and Cognition · Quantitative Biology 2020-04-03 Christopher W. Lynn , Danielle S. Bassett

The Unfolded Protein Response is the cell mechanism for maintaining the balance of properly folded proteins in the endoplasmic reticulum , the specialized cellular compartment. Although it is largely studied from a biological point of view,…

Molecular Networks · Quantitative Biology 2023-04-05 Nicole Luchetti , Alessandro Loppini , Margherita Anna Grazia Matarrese , Letizia Chiodo , Simonetta Filippi

We study the problem of controlling a general complex network towards an assigned synchronous evolution, by means of a pinning control strategy. We define the pinning-controllability of the network in terms of the spectral properties of an…

Disordered Systems and Neural Networks · Physics 2007-05-23 Francesco Sorrentino , Mario di Bernardo , Franco Garofalo , Guanrong Chen

In the real world, many complex systems are represented not by single networks but rather by sets of interdependent ones. In these specific networks, nodes in one network mutually interact with nodes in other networks. This paper focuses on…

Chaotic Dynamics · Physics 2016-02-02 Xiang Wei , Xiaoqun Wu , Jun-an Lu , Junchan Zhao
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