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E-raamat: Graph Theoretic Methods in Multiagent Networks

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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

Arvustused

"Presently, there are few books on multiagent systems. Thus, this book can be a useful reference book for graduate students and researchers focusing on systems, controls, and robotics, and help them to better know and study multiagent systems."--Long Wang, Mathematical Reviews

Muu info

This well-organized book is an extensive and complete introduction to graph theoretic methods in the context of multiagent and multivehicle cooperative networks. The presentation of the material is elegant and in addition to basic results, the book includes new topics not commonly found in the literature. Ideal for graduate students and researchers, the book represents a significant contribution to the emerging field of cooperative control and consensus. -- Randy Beard, Brigham Young University This comprehensive overview of multiagent coordination brings together the existing literature on the subject and presents it in a clean, pedagogical fashion. The book will be useful to those in the areas of control theory, signal processing, and related disciplines. -- Ali Jadbabaie, University of Pennsylvania This book focuses on graph theoretic techniques in multiagent systems, with a strong emphasis on agreement problems. It covers a good selection of issues and will make a solid textbook for advanced courses in the field. -- Richard Murray, California Institute of Technology
Preface xi
Notation xv
PART 1 FOUNDATIONS
1(114)
Chapter 1 Introduction
3(11)
1.1 Hello, Networked World
3(1)
1.2 Multiagent Systems
4(4)
1.3 Information Exchange via Local Interactions
8(2)
1.4 Graph-based Interaction Models
10(2)
1.5 Looking Ahead
12(2)
Chapter 2 Graph Theory
14(28)
2.1 Graphs
14(6)
2.2 Variations on the Theme
20(2)
2.3 Graphs and Matrices
22(5)
2.4 Algebraic and Spectral Graph Theory
27(6)
2.5 Graph Symmetries
33(9)
Chapter 3 The Agreement Protocol: Part I-The Static Case
42(30)
3.1 Reaching Agreement: Undirected Networks
46(2)
3.2 Reaching Agreement: Directed Networks
48(10)
3.3 Agreement and Markov Chains
58(3)
3.4 The Factorization Lemma
61(11)
Chapter 4 The Agreement Protocol: Part II-Lyapunov and LaSalle
72(18)
4.1 Agreement via Lyapunov Functions
72(4)
4.2 Agreement over Switching Digraphs
76(1)
4.3 Edge Agreement
77(4)
4.4 Beyond Linearity
81(9)
Chapter 5 Probabilistic Analysis of Networks and Protocols
90(25)
5.1 Random Graphs
90(3)
5.2 Agreement over Random Networks
93(7)
5.3 Agreement in the Presence of Noise
100(8)
5.4 Other Probabilistic Models of Networks
108(7)
PART 2 MULTIAGENT NETWORKS
115(136)
Chapter 6 Formation Control
117(42)
6.1 Formation Specification: Shapes
118(5)
6.2 Formation Specification: Relative States
123(4)
6.3 Shape-based Control
127(3)
6.4 Relative State-based Control
130(13)
6.5 Dynamic Formation Selection
143(8)
6.6 Assigning Roles
151(8)
Chapter 7 Mobile Robots
159(32)
7.1 Cooperative Robotics
160(2)
7.2 Weighted Graph-based Feedback
162(5)
7.3 Dynamic Graphs
167(2)
7.4 Formation Control Revisited
169(7)
7.5 The Coverage Problem
176(15)
Chapter 8 Distributed Estimation
191(35)
8.1 Distributed Linear Least Squares
191(8)
8.2 Pulsed Intercluster Communication
199(9)
8.3 Implementation over Wireless Networks
208(4)
8.4 Distributed Kalman Filtering
212(14)
Chapter 9 Social Networks, Epidemics, and Games
226(25)
9.1 Diffusion on Social Networks-The Max Protocol
226(3)
9.2 The Threshold Protocol
229(4)
9.3 Epidemics
233(10)
9.4 The Chip Firing Game
243(8)
PART 3 NETWORKS AS SYSTEMS
251(111)
Chapter 10 Agreement with Inputs and Outputs
253(40)
10.1 The Basic Input-Output Setup
253(7)
10.2 Graph Theoretic Controllability: The SISO Case
260(9)
10.3 Graph Theoretic Controllability: The MIMO Case
269(7)
10.4 Agreement Reachability
276(4)
10.5 Network Feedback
280(2)
10.6 Optimal Control
282(11)
Chapter 11 Synthesis of Networks
293(26)
11.1 Network Formation
293(1)
11.2 Local Formation Games
294(5)
11.3 Potential Games and Best Response Dynamics
299(6)
11.4 Network Synthesis: A Global Perspective
305(4)
11.5 Discrete and Greedy
309(3)
11.6 Optimizing the Weighted Agreement
312(7)
Chapter 12 Dynamic Graph Processes
319(25)
12.1 State-dependent Graphs
319(4)
12.2 Graphical Equations
323(3)
12.3 Dynamic Graph Controllability
326(10)
12.4 What Graphs Can Be Realized?
336(2)
12.5 Planning over Proximity Graphs
338(6)
Chapter 13 Higher-order Networks
344(18)
13.1 Simplicial Complexes
344(3)
13.2 Combinatorial Laplacians
347(3)
13.3 Triangulations and the Rips Complex
350(4)
13.4 The Nerve Complex
354(8)
Appendix A
362(17)
A.1 Analysis
362(1)
A.2 Matrix Theory
363(3)
A.3 Control Theory
366(6)
A.4 Probability
372(3)
A.5 Optimization and Games
375(4)
Bibliography 379(20)
Index 399
Mehran Mesbahi is associate professor of aeronautics and astronautics at the University of Washington. Magnus Egerstedt is associate professor of electrical and computer engineering at Georgia Institute of Technology.