Convergence Rate Of Distributed Averaging Dynamics And Optimization In Networks

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Convergence Rate of Distributed Averaging Dynamics and Optimization in Networks

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Author : Angelia Nedić
Publisher :
ISBN 13 : 9781680830415
Total Pages : 100 pages
Book Rating : 4.8/5 (34 download)

Book Synopsis Convergence Rate of Distributed Averaging Dynamics and Optimization in Networks by : Angelia Nedić

Download or read book Convergence Rate of Distributed Averaging Dynamics and Optimization in Networks written by Angelia Nedić and published by . This book was released on 2015 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent advances in wired and wireless technology lead to the emergence of large-scale networks such as Internet, wireless mobile ad-hoc networks, swarm robotics, smart-grid, and smart-sensor networks. The advances gave rise to new applications in networks including decentralized resource allocation in multi-agent systems, decentralized control of multi-agent systems, collaborative decision making, decentralized learning and estimation, and decentralized in-network signal processing. The advances also gave birth to new large cyber-physical systems such as sensor and social networks. These network systems are typically spatially distributed over a large area and may consists of hundreds of agents in smart-sensor networks to millions of agents in social networks. As such, they do not possess a central coordinator or a central point for access to the complete system information. This lack of central entity makes the traditional (centralized) optimization and control techniques inapplicable, thus necessitating the development of new distributed computational models and algorithms to support efficient operations over such networks. This tutorial provides an overview of the convergence rate of distributed algorithms for coordination and its relevance to optimization in a system of autonomous agents embedded in a communication network, where each agent is aware of (and can communicate with) its local neighbors only. The focus is on distributed averaging dynamics for consensus problems and its role in consensus-based gradient methods for convex optimization problems, where the network objective function is separable across the constituent agents.

Introduction to Averaging Dynamics over Networks

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Author : Fabio Fagnani
Publisher : Springer
ISBN 13 : 3319680226
Total Pages : 145 pages
Book Rating : 4.3/5 (196 download)

Book Synopsis Introduction to Averaging Dynamics over Networks by : Fabio Fagnani

Download or read book Introduction to Averaging Dynamics over Networks written by Fabio Fagnani and published by Springer. This book was released on 2017-11-09 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with averaging dynamics, a paradigmatic example of network based dynamics in multi-agent systems. The book presents all the fundamental results on linear averaging dynamics, proposing a unified and updated viewpoint of many models and convergence results scattered in the literature. Starting from the classical evolution of the powers of a fixed stochastic matrix, the text then considers more general evolutions of products of a sequence of stochastic matrices, either deterministic or randomized. The theory needed for a full understanding of the models is constructed without assuming any knowledge of Markov chains or Perron–Frobenius theory. Jointly with their analysis of the convergence of averaging dynamics, the authors derive the properties of stochastic matrices. These properties are related to the topological structure of the associated graph, which, in the book’s perspective, represents the communication between agents. Special attention is paid to how these properties scale as the network grows in size. Finally, the understanding of stochastic matrices is applied to the study of other problems in multi-agent coordination: averaging with stubborn agents and estimation from relative measurements. The dynamics described in the book find application in the study of opinion dynamics in social networks, of information fusion in sensor networks, and of the collective motion of animal groups and teams of unmanned vehicles. Introduction to Averaging Dynamics over Networks will be of material interest to researchers in systems and control studying coordinated or distributed control, networked systems or multiagent systems and to graduate students pursuing courses in these areas.

Multi-agent Optimization

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Author : Angelia Nedić
Publisher : Springer
ISBN 13 : 3319971425
Total Pages : 317 pages
Book Rating : 4.3/5 (199 download)

Book Synopsis Multi-agent Optimization by : Angelia Nedić

Download or read book Multi-agent Optimization written by Angelia Nedić and published by Springer. This book was released on 2018-11-01 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains three well-written research tutorials that inform the graduate reader about the forefront of current research in multi-agent optimization. These tutorials cover topics that have not yet found their way in standard books and offer the reader the unique opportunity to be guided by major researchers in the respective fields. Multi-agent optimization, lying at the intersection of classical optimization, game theory, and variational inequality theory, is at the forefront of modern optimization and has recently undergone a dramatic development. It seems timely to provide an overview that describes in detail ongoing research and important trends. This book concentrates on Distributed Optimization over Networks; Differential Variational Inequalities; and Advanced Decomposition Algorithms for Multi-agent Systems. This book will appeal to both mathematicians and mathematically oriented engineers and will be the source of inspiration for PhD students and researchers.

Modelling, Analysis, and Control of Networked Dynamical Systems

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Author : Ziyang Meng
Publisher : Springer Nature
ISBN 13 : 3030846822
Total Pages : 169 pages
Book Rating : 4.0/5 (38 download)

Book Synopsis Modelling, Analysis, and Control of Networked Dynamical Systems by : Ziyang Meng

Download or read book Modelling, Analysis, and Control of Networked Dynamical Systems written by Ziyang Meng and published by Springer Nature. This book was released on 2021-10-15 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a comprehensive exploration of new tools for modelling, analysis, and control of networked dynamical systems. Expanding on the authors’ previous work, this volume highlights how local exchange of information and cooperation among neighboring agents can lead to emergent global behaviors in a given networked dynamical system. Divided into four sections, the first part of the book begins with some preliminaries and the general networked dynamical model that is used throughout the rest of the book. The second part focuses on synchronization of networked dynamical systems, synchronization with non-expansive dynamics, periodic solutions of networked dynamical systems, and modulus consensus of cooperative-antagonistic networks. In the third section, the authors solve control problems with input constraint, large delays, and heterogeneous dynamics. The final section of the book is devoted to applications, studying control problems of spacecraft formation flying, multi-robot rendezvous, and energy resource coordination of power networks. Modelling, Analysis, and Control of Networked Dynamical Systems will appeal to researchers and graduate students interested in control theory and its applications, particularly those working in networked control systems, multi-agent systems, and cyber-physical systems. This volume can also be used in advanced undergraduate and graduate courses on networked control systems and multi-agent systems.

Emerging Applications of Control and Systems Theory

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Author : Roberto Tempo
Publisher : Springer
ISBN 13 : 3319670689
Total Pages : 400 pages
Book Rating : 4.3/5 (196 download)

Book Synopsis Emerging Applications of Control and Systems Theory by : Roberto Tempo

Download or read book Emerging Applications of Control and Systems Theory written by Roberto Tempo and published by Springer. This book was released on 2018-02-24 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book celebrates Professor Mathukumalli Vidyasagar’s outstanding achievements in systems, control, robotics, statistical learning, computational biology, and allied areas. The contributions in the book summarize the content of invited lectures given at the workshop “Emerging Applications of Control and Systems Theory” (EACST17) held at the University of Texas at Dallas in late September 2017 in honor of Professor Vidyasagar’s seventieth birthday. These contributions are the work of twenty-eight distinguished speakers from eight countries and are related to Professor Vidyasagar’s areas of research. This Festschrift volume will remain as a permanent scientific record of this event.

Product of Random Stochastic Matrices and Distributed Averaging

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Author : Behrouz Touri
Publisher : Springer Science & Business Media
ISBN 13 : 3642280021
Total Pages : 152 pages
Book Rating : 4.6/5 (422 download)

Book Synopsis Product of Random Stochastic Matrices and Distributed Averaging by : Behrouz Touri

Download or read book Product of Random Stochastic Matrices and Distributed Averaging written by Behrouz Touri and published by Springer Science & Business Media. This book was released on 2012-03-02 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: The thesis deals with averaging dynamics in a multiagent networked system, which is a main mechanism for diffusing the information over such networks. It arises in a wide range of applications in engineered physical networks (such as mobile communication and sensor networks), as well as social and economic networks. The thesis provides in depth study of stability and other phenomena characterizing the limiting behavior of both deterministic and random averaging dynamics. By developing new concepts, and using the tools from dynamic system theory and non-negative matrix theory, several novel fundamental results are rigorously developed. These contribute significantly to our understanding of averaging dynamics as well as to non-negative random matrix theory. The exposition, although highly rigorous and technical, is elegant and insightful, and accompanied with numerous illustrative examples, which makes this thesis work easily accessible to those just entering this field and will also be much appreciated by experts in the field.

Distributed Optimization for Smart Cyber-Physical Networks

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Author : Giuseppe Notarstefano
Publisher :
ISBN 13 : 9781680836189
Total Pages : 148 pages
Book Rating : 4.8/5 (361 download)

Book Synopsis Distributed Optimization for Smart Cyber-Physical Networks by : Giuseppe Notarstefano

Download or read book Distributed Optimization for Smart Cyber-Physical Networks written by Giuseppe Notarstefano and published by . This book was released on 2019-12-11 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: In an increasingly connected world, the term cyber-physical networks has been coined to refer to the communication among devices that is turning smart devices into smart (cooperating) systems. The distinctive feature of such systems is that significant advantage can be obtained if its interconnected, complex nature is exploited. Several challenges arising in cyber-physical networks can be stated as optimization problems. Examples are estimation, decision, learning and control applications. In cyber-physical networks, the goal is to design algorithms, based on the exchange of information among the processors, that take advantage of the aggregated computational power. Distributed Optimization for Smart Cyber-Physical Networks provides a comprehensive overview of the most common approaches used to design distributed optimization algorithms, together with the theoretical analysis of the main schemes in their basic version. It identifies and formalizes classes of problem set-ups that arise in motivating application scenarios. For each set-up, in order to give the main tools for analysis, tailored distributed algorithms in simplified cases are reviewed. Extensions and generalizations of the basic schemes are also discussed at the end of each chapter. Distributed Optimization for Smart Cyber-Physical Networks provides the reader with an accessible overview of the current research and gives important pointers towards new developments. It is an excellent starting point for research and students unfamiliar with the topic.

Distributed Optimization: Advances in Theories, Methods, and Applications

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Author : Huaqing Li
Publisher : Springer Nature
ISBN 13 : 9811561095
Total Pages : 243 pages
Book Rating : 4.8/5 (115 download)

Book Synopsis Distributed Optimization: Advances in Theories, Methods, and Applications by : Huaqing Li

Download or read book Distributed Optimization: Advances in Theories, Methods, and Applications written by Huaqing Li and published by Springer Nature. This book was released on 2020-08-04 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a valuable reference guide for researchers in distributed optimization and for senior undergraduate and graduate students alike. Focusing on the natures and functions of agents, communication networks and algorithms in the context of distributed optimization for networked control systems, this book introduces readers to the background of distributed optimization; recent developments in distributed algorithms for various types of underlying communication networks; the implementation of computation-efficient and communication-efficient strategies in the execution of distributed algorithms; and the frameworks of convergence analysis and performance evaluation. On this basis, the book then thoroughly studies 1) distributed constrained optimization and the random sleep scheme, from an agent perspective; 2) asynchronous broadcast-based algorithms, event-triggered communication, quantized communication, unbalanced directed networks, and time-varying networks, from a communication network perspective; and 3) accelerated algorithms and stochastic gradient algorithms, from an algorithm perspective. Finally, the applications of distributed optimization in large-scale statistical learning, wireless sensor networks, and for optimal energy management in smart grids are discussed.

Distributed Optimization, Game and Learning Algorithms

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Author : Huiwei Wang
Publisher : Springer Nature
ISBN 13 : 9813345284
Total Pages : 227 pages
Book Rating : 4.8/5 (133 download)

Book Synopsis Distributed Optimization, Game and Learning Algorithms by : Huiwei Wang

Download or read book Distributed Optimization, Game and Learning Algorithms written by Huiwei Wang and published by Springer Nature. This book was released on 2021-01-04 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the fundamental theory of distributed optimization, game and learning. It includes those working directly in optimization,-and also many other issues like time-varying topology, communication delay, equality or inequality constraints,-and random projections. This book is meant for the researcher and engineer who uses distributed optimization, game and learning theory in fields like dynamic economic dispatch, demand response management and PHEV routing of smart grids.

Networked Control Systems

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Author : Alberto Bemporad
Publisher : Springer Science & Business Media
ISBN 13 : 0857290320
Total Pages : 373 pages
Book Rating : 4.8/5 (572 download)

Book Synopsis Networked Control Systems by : Alberto Bemporad

Download or read book Networked Control Systems written by Alberto Bemporad and published by Springer Science & Business Media. This book was released on 2010-10-14 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book nds its origin in the WIDE PhD School on Networked Control Systems, which we organized in July 2009 in Siena, Italy. Having gathered experts on all the aspects of networked control systems, it was a small step to go from the summer school to the book, certainly given the enthusiasm of the lecturers at the school. We felt that a book collecting overviewson the important developmentsand open pr- lems in the eld of networked control systems could stimulate and support future research in this appealing area. Given the tremendouscurrentinterests in distributed control exploiting wired and wireless communication networks, the time seemed to be right for the book that lies now in front of you. The goal of the book is to set out the core techniques and tools that are ava- able for the modeling, analysis and design of networked control systems. Roughly speaking, the book consists of three parts. The rst part presents architectures for distributed control systems and models of wired and wireless communication n- works. In particular, in the rst chapter important technological and architectural aspects on distributed control systems are discussed. The second chapter provides insight in the behavior of communication channels in terms of delays, packet loss and information constraints leading to suitable modeling paradigms for commu- cation networks.

Encyclopedia of Systems and Control

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Author : John Baillieul
Publisher : Springer
ISBN 13 : 9781447150572
Total Pages : 1554 pages
Book Rating : 4.1/5 (55 download)

Book Synopsis Encyclopedia of Systems and Control by : John Baillieul

Download or read book Encyclopedia of Systems and Control written by John Baillieul and published by Springer. This book was released on 2015-07-29 with total page 1554 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopedia of Systems and Control collects a broad range of short expository articles that describe the current state of the art in the central topics of control and systems engineering as well as in many of the related fields in which control is an enabling technology. The editors have assembled the most comprehensive reference possible, and this has been greatly facilitated by the publisher’s commitment continuously to publish updates to the articles as they become available in the future. Although control engineering is now a mature discipline, it remains an area in which there is a great deal of research activity, and as new developments in both theory and applications become available, they will be included in the online version of the encyclopedia. A carefully chosen team of leading authorities in the field has written the well over 250 articles that comprise the work. The topics range from basic principles of feedback in servomechanisms to advanced topics such as the control of Boolean networks and evolutionary game theory. Because the content has been selected to reflect both foundational importance as well as subjects that are of current interest to the research and practitioner communities, a broad readership that includes students, application engineers, and research scientists will find material that is of interest.

Parallel and Distributed Computation: Numerical Methods

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Author : Dimitri Bertsekas
Publisher : Athena Scientific
ISBN 13 : 1886529159
Total Pages : 832 pages
Book Rating : 4.8/5 (865 download)

Book Synopsis Parallel and Distributed Computation: Numerical Methods by : Dimitri Bertsekas

Download or read book Parallel and Distributed Computation: Numerical Methods written by Dimitri Bertsekas and published by Athena Scientific. This book was released on 2015-03-01 with total page 832 pages. Available in PDF, EPUB and Kindle. Book excerpt: This highly acclaimed work, first published by Prentice Hall in 1989, is a comprehensive and theoretically sound treatment of parallel and distributed numerical methods. It focuses on algorithms that are naturally suited for massive parallelization, and it explores the fundamental convergence, rate of convergence, communication, and synchronization issues associated with such algorithms. This is an extensive book, which aside from its focus on parallel and distributed algorithms, contains a wealth of material on a broad variety of computation and optimization topics. It is an excellent supplement to several of our other books, including Convex Optimization Algorithms (Athena Scientific, 2015), Nonlinear Programming (Athena Scientific, 1999), Dynamic Programming and Optimal Control (Athena Scientific, 2012), Neuro-Dynamic Programming (Athena Scientific, 1996), and Network Optimization (Athena Scientific, 1998). The on-line edition of the book contains a 95-page solutions manual.

Game-Theoretic Learning and Distributed Optimization in Memoryless Multi-Agent Systems

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Author : Tatiana Tatarenko
Publisher : Springer
ISBN 13 : 3319654799
Total Pages : 176 pages
Book Rating : 4.3/5 (196 download)

Book Synopsis Game-Theoretic Learning and Distributed Optimization in Memoryless Multi-Agent Systems by : Tatiana Tatarenko

Download or read book Game-Theoretic Learning and Distributed Optimization in Memoryless Multi-Agent Systems written by Tatiana Tatarenko and published by Springer. This book was released on 2017-09-19 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents new efficient methods for optimization in realistic large-scale, multi-agent systems. These methods do not require the agents to have the full information about the system, but instead allow them to make their local decisions based only on the local information, possibly obtained during communication with their local neighbors. The book, primarily aimed at researchers in optimization and control, considers three different information settings in multi-agent systems: oracle-based, communication-based, and payoff-based. For each of these information types, an efficient optimization algorithm is developed, which leads the system to an optimal state. The optimization problems are set without such restrictive assumptions as convexity of the objective functions, complicated communication topologies, closed-form expressions for costs and utilities, and finiteness of the system’s state space.

Distributed Consensus in Multi-vehicle Cooperative Control

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Author : Wei Ren
Publisher : Springer Science & Business Media
ISBN 13 : 1848000154
Total Pages : 315 pages
Book Rating : 4.8/5 (48 download)

Book Synopsis Distributed Consensus in Multi-vehicle Cooperative Control by : Wei Ren

Download or read book Distributed Consensus in Multi-vehicle Cooperative Control written by Wei Ren and published by Springer Science & Business Media. This book was released on 2007-10-27 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assuming only neighbor-neighbor interaction among vehicles, this monograph develops distributed consensus strategies that ensure that the information states of all vehicles in a network converge to a common value. Readers learn to deal with groups of autonomous vehicles in aerial, terrestrial, and submarine environments. Plus, they get the tools needed to overcome impaired communication by using constantly updated neighbor-neighbor interchange.

Graph Theoretic Methods in Multiagent Networks

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Author : Mehran Mesbahi
Publisher : Princeton University Press
ISBN 13 : 1400835356
Total Pages : 424 pages
Book Rating : 4.4/5 (8 download)

Book Synopsis Graph Theoretic Methods in Multiagent Networks by : Mehran Mesbahi

Download or read book Graph Theoretic Methods in Multiagent Networks written by Mehran Mesbahi and published by Princeton University Press. This book was released on 2010-07-01 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This accessible book provides an introduction to the analysis and design of dynamic multiagent networks. Such networks are of great interest in a wide range of areas in science and engineering, including: mobile sensor networks, distributed robotics such as formation flying and swarming, quantum networks, networked economics, biological synchronization, and social networks. Focusing on graph theoretic methods for the analysis and synthesis of dynamic multiagent networks, the book presents a powerful new formalism and set of tools for networked systems. The book's three sections look at foundations, multiagent networks, and networks as systems. The authors give an overview of important ideas from graph theory, followed by a detailed account of the agreement protocol and its various extensions, including the behavior of the protocol over undirected, directed, switching, and random networks. They cover topics such as formation control, coverage, distributed estimation, social networks, and games over networks. And they explore intriguing aspects of viewing networks as systems, by making these networks amenable to control-theoretic analysis and automatic synthesis, by monitoring their dynamic evolution, and by examining higher-order interaction models in terms of simplicial complexes and their applications. The book will interest graduate students working in systems and control, as well as in computer science and robotics. It will be a standard reference for researchers seeking a self-contained account of system-theoretic aspects of multiagent networks and their wide-ranging applications. This book has been adopted as a textbook at the following universities: ? University of Stuttgart, Germany Royal Institute of Technology, Sweden Johannes Kepler University, Austria Georgia Tech, USA University of Washington, USA Ohio University, USA

Lectures on Network Systems

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Author : Francesco Bullo
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781986425643
Total Pages : 300 pages
Book Rating : 4.4/5 (256 download)

Book Synopsis Lectures on Network Systems by : Francesco Bullo

Download or read book Lectures on Network Systems written by Francesco Bullo and published by Createspace Independent Publishing Platform. This book was released on 2018-03-10 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes provide a mathematical introduction to multi-agent dynamical systems, including their analysis via algebraic graph theory and their application to engineering design problems. The focus is on fundamental dynamical phenomena over interconnected network systems, including consensus and disagreement in averaging systems, stable equilibria in compartmental flow networks, and synchronization in coupled oscillators and networked control systems. The theoretical results are complemented by numerous examples arising from the analysis of physical and natural systems and from the design of network estimation, control, and optimization systems.

Gossip Algorithms

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Author : Devavrat Shah
Publisher : Now Publishers Inc
ISBN 13 : 1601982364
Total Pages : 140 pages
Book Rating : 4.6/5 (19 download)

Book Synopsis Gossip Algorithms by : Devavrat Shah

Download or read book Gossip Algorithms written by Devavrat Shah and published by Now Publishers Inc. This book was released on 2009 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic survey of many of these recent results on Gossip network algorithms.