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The ability to control a complex network towards a desired behavior relies on our understanding of the complex nature of these social and technological networks. The existence of numerous control schemes in a network promotes us to wonder:…

Systems and Control · Computer Science 2016-12-01 Xizhe Zhang , Tianyang Lv , Yuanyuan Pu

The theory of patterns formation for a reaction-diffusion system defined on a multiplex is developed by means of a perturbative approach. The intra-layer diffusion constants act as small parameter in the expansion and the unperturbed state…

Statistical Mechanics · Physics 2015-06-22 Malbor Asllani , Daniel M. Busiello , Timoteo Carletti , Duccio Fanelli , Gwendoline Planchon

Motivated by the relationship between the eigenvalue spectrum of the Laplacian matrix of a network and the behavior of dynamical processes evolving in it, we propose a distributed iterative algorithm in which a group of $n$ autonomous…

Optimization and Control · Mathematics 2012-09-10 Victor M. Preciado , Michael M. Zavlanos , Ali Jadbabaie

Network structure plays a critical role in functionality and performance of network systems. This paper examines structural adaptivity of diffusively coupled, directed multi-agent networks that are subject to diffusion performance. Inspired…

Systems and Control · Electrical Eng. & Systems 2022-08-30 Lulu Pan , Haibin Shao , Mehran Mesbahi , Dewei Li , Yugeng Xi

A common approach to controlling complex networks is to directly control a subset of input nodes, which then controls the remaining nodes via network interactions. While techniques have been proposed for selecting input nodes based on…

Optimization and Control · Mathematics 2014-12-15 Andrew Clark , Basel Alomair , Linda Bushnell , Radha Poovendran

This work studies how to preemptively increase the resilience of a network by means of time-varying topological actuation. To do this, we focus on linear dynamical systems that are compatible with a given network, and consider policies that…

Optimization and Control · Mathematics 2026-02-24 Fei Chen , Jorge Cortés , Sonia Martínez

Full-duplex communication has the potential to substantially increase the throughput in wireless networks. However, the benefits of full-duplex are still not well understood. In this paper, we characterize the full-duplex rate gains in both…

Information Theory · Computer Science 2016-06-10 Jelena Marašević , Jin Zhou , Harish Krishnaswamy , Yuan Zhong , Gil Zussman

The computation of feedback control using Dynamic Programming equation is a difficult task due the curse of dimensionality. The tree structure algorithm is one the methods introduced recently that mitigate this problem. The method computes…

Numerical Analysis · Mathematics 2022-10-06 Alessandro Alla , Luca Saluzzi

Structural controllability has been proposed as an analytical framework for making predictions regarding the control of complex networks across myriad disciplines in the physical and life sciences (Liu et al., Nature:473(7346):167-173,…

Physics and Society · Physics 2015-05-28 Noah J. Cowan , Erick J. Chastain , Daril A. Vilhena , James S. Freudenberg , Carl T. Bergstrom

The minimum number of inputs needed to control a network is frequently used to quantify its controllability. Control of linear dynamics through a minimum set of inputs, however, often has prohibitively large energy requirements and there is…

Computational Engineering, Finance, and Science · Computer Science 2022-12-12 Samie Alizadeh , Márton Pósfai , Abdorasoul Ghasemi

We present a framework based on spectral graph theory that captures the interplay among network topology, system inertia, and generator and load damping in determining the overall grid behavior and performance. Specifically, we show that…

Systems and Control · Computer Science 2018-08-07 Linqi Guo , Changhong Zhao , Steven H. Low

Deep reinforcement learning for high dimensional, hierarchical control tasks usually requires the use of complex neural networks as functional approximators, which can lead to inefficiency, instability and even divergence in the training…

Machine Learning · Computer Science 2019-11-26 Yuguang Yang

We propose here a multiplex network approach to investigate simultaneously different types of dependency in complex data sets. In particular, we consider multiplex networks made of four layers corresponding respectively to linear,…

Physics and Society · Physics 2016-06-16 Nicoló Musmeci , Vincenzo Nicosia , Tomaso Aste , Tiziana Di Matteo , Vito Latora

Some networked systems can be better modelled by multilayer structure where the individual nodes develop relationships in multiple layers. Multilayer networks with similar nodes across layers are also known as multiplex networks. This…

Social and Information Networks · Computer Science 2020-01-08 Shaghayegh Najari , Mostafa Salehi , Vahid Ranjbar , Mahdi Jalili

A design framework recently has been developed to stabilize interconnected multiagent systems in a distributed manner, and systematically capture the architectural aspect of cyber-physical systems. Such a control theoretic framework,…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Vahid Rezaei , Jafar Haadi Jafarian , Douglas C. Sicker

The concept of control is crucial for effectively understanding and applying biological network models. Key structural features relate to control functions through gene regulation, signaling, or metabolic mechanisms, and computational…

Molecular Networks · Quantitative Biology 2024-11-05 David Murrugarra , Alan Veliz-Cuba , Elena Dimitrova , Claus Kadelka , Matthew Wheeler , Reinhard Laubenbacher

The response of complex networks to perturbations is of utmost importance in areas as diverse as ecosystem management, emergency response, and cell reprogramming. A fundamental property of networks is that the perturbation of one node can…

Molecular Networks · Quantitative Biology 2011-05-20 Sean P. Cornelius , William L. Kath , Adilson E. Motter

This paper presents a two-layer distributed energy resource (DER) coordination architecture that allows for separate ownership of data, operates with data subjected to a large buffering delay, and employs a new measure of power quality. The…

Signal Processing · Electrical Eng. & Systems 2019-02-14 Thomas Navidi , Abbas El Gamal , Ram Rajagopal

The dynamical processes taking place on a network depend on its topology. Influencing the growth process of a network therefore has important implications on such dynamical processes. We formulate the problem of influencing the growth of a…

Social and Information Networks · Computer Science 2016-12-28 Dominik Thalmeier , Vicenç Gómez , Hilbert J. Kappen

A recurrent neural network (RNN) is a universal approximator of dynamical systems, whose performance often depends on sensitive hyperparameters. Tuning of such hyperparameters may be difficult and, typically, based on a trial-and-error…

Neural and Evolutionary Computing · Computer Science 2017-02-22 Filippo Maria Bianchi , Lorenzo Livi , Cesare Alippi , Robert Jenssen
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