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The paradigm of layered networks is used to describe many real-world systems -- from biological networks, to social organizations and transportation systems. Recently there has been much progress in understanding the general properties of…

Physics and Society · Physics 2016-10-05 Márton Pósfai , Jianxi Gao , Sean P. Cornelius , Albert-László Barabási , Raissa M. D'Souza

In this paper we consider spatial networks that realize a balance between an infrastructure cost (the cost of wire needed to connect the network in space) and communication efficiency, measured by average shortest pathlength. A global…

Disordered Systems and Neural Networks · Physics 2015-05-19 Markus Brede

The problem of designing policies for in-network function computation with minimum energy consumption subject to a latency constraint is considered. The scaling behavior of the energy consumption under the latency constraint is analyzed for…

Networking and Internet Architecture · Computer Science 2016-11-17 Paul Balister , Béla Bollobás , Animashree Anandkumar , Alan Willsky

Networked systems display complex patterns of interactions between a large number of components. In physical networks, these interactions often occur along structural connections that link components in a hard-wired connection topology,…

Neurons and Cognition · Quantitative Biology 2018-04-03 Jason Kim , Jonathan M. Soffer , Ari E. Kahn , Jean M. Vettel , Fabio Pasqualetti , Danielle S. Bassett

The interaction of distinct units in physical, social, biological and technological systems naturally gives rise to complex network structures. Networks have constantly been in the focus of research for the last decade, with considerable…

Physics and Society · Physics 2012-08-20 Tamás Nepusz , Tamás Vicsek

This paper discusses the controllability problem of complex networks. It is shown that almost any weighted complex network with noise on the strength of communication links is controllable in the sense of Kalman controllability. The concept…

Systems and Control · Computer Science 2018-05-07 Ning Cai , Ming He , Qiu-Xuan Wu , M. Junaid Khan

Scheduling control problems for a family of unitary networks under heavy traffic with general interarrival and service times, probabilistic routing and an infinite horizon discounted linear holding cost are studied. Diffusion control…

Probability · Mathematics 2012-05-07 Amarjit Budhiraja , Arka P. Ghosh

Network science has experienced unprecedented rapid development in the past two decades. The network perspective has also been widely applied to explore various complex systems in great depth. In the first decade, fundamental…

Physics and Society · Physics 2020-01-13 Aming Li , Yang-Yu Liu

To achieve control objectives for extremely large-scale complex networks using standard methods is essentially intractable. In this work a theory of the approximate control of complex network systems is proposed and developed by the use of…

Optimization and Control · Mathematics 2020-10-28 Shuang Gao , Peter E. Caines

We consider discrete-time dynamics, for cascading failure in DC networks, whose map is composition of failure rule with control actions. Supply-demand at the nodes is monotonically non-increasing under admissible control. Under the failure…

Systems and Control · Computer Science 2018-03-21 Qin Ba , Ketan Savla

This article determines and characterizes the minimal number of actuators needed to ensure structural controllability of a linear system under structural alterations that can severe the connection between any two states. We assume that…

Systems and Control · Computer Science 2017-03-23 Priyanka Dey , Niranjan Balachandran , Debasish Chatterjee

Our ability to control network dynamical systems is often hindered by constraints on the number and nature of the available control actions, which make controlling the whole network unfeasible. In this manuscript, we focus on the case where…

Optimization and Control · Mathematics 2022-02-14 Camilla Ancona , Francesco Lo Iudice , Antonio Coppola , Pietro De Lellis , Franco Garofalo

We consider online power control for an energy harvesting system with random i.i.d. energy arrivals and a finite size battery. We propose a simple online power control policy for this channel that requires minimal information regarding the…

Information Theory · Computer Science 2016-07-04 Dor Shaviv , Ayfer Özgür

As the energy transition transforms power grids across the globe, it poses several challenges regarding grid design and control. In particular, high levels of intermittent renewable generation complicate the task of continuously balancing…

Optimization and Control · Mathematics 2018-08-07 Randall Martyr , Benjamin Schaefer , Christian Beck , Vito Latora

To meet ongoing cognitive demands, the human brain must seamlessly transition from one brain state to another, in the process drawing on different cognitive systems. How does the brain's network of anatomical connections help facilitate…

Neurons and Cognition · Quantitative Biology 2016-09-08 Richard F. Betzel , Shi Gu , John D. Medaglia , Fabio Pasqualetti , Danielle S. Bassett

The study of network structural controllability focuses on the minimum number of driver nodes needed to control a whole network. Despite intensive studies on this topic, most of them consider static networks only. It is well-known, however,…

Physics and Society · Physics 2021-01-27 Rui Zhang , Xiaomeng Wang , Ming Cheng , Tao Jia

Finding minimal time and establishing the structure of the corresponding optimal controls which can transfer a given initial state of a quantum system into a given target state is a key problem of quantum control. In this work, this problem…

Quantum Physics · Physics 2025-02-21 L. V. Lokutsievskiy , A. N. Pechen , M. I. Zelikin

This paper deals with controllability of dynamical networks. It is often unfeasible or unnecessary to fully control large-scale networks, which motivates the control of a prescribed subset of agents of the network. This specific form of…

Optimization and Control · Mathematics 2016-08-09 Henk J. van Waarde , M. Kanat Camlibel , Harry L. Trentelman

In this paper, we propose a novelty-based metric for quantitative characterization of the controllability of complex networks. This inherently bounded metric describes the average angular separation of an input with respect to the past…

Optimization and Control · Mathematics 2014-09-30 Gautam Kumar , Delsin Menolascino , MohammadMehdi Kafashan , ShiNung Ching

The broad success of optimally controlling quantum systems with external fields has been attributed to the favorable topology of the underlying control landscape, where the landscape is the physical observable as a function of the controls.…

Quantum Physics · Physics 2015-06-03 Katharine W. Moore , Herschel Rabitz