Graph Theoretic Methods in Multiagent Networks

ISBN-10: 0691140618

ISBN-13: 9780691140612

Edition: 2010

Authors: Mehran Mesbahi, Magnus Egerstedt

List price: $65.95
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Book details

List price: $65.95
Copyright year: 2010
Publisher: Princeton University Press
Publication date: 7/21/2010
Binding: Hardcover
Pages: 424
Size: 6.25" wide x 9.25" long x 1.25" tall
Weight: 1.848
Language: English

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.

Preface
Notation
Foundations
Introduction
Hello, Networked World
Multiagent Systems
Information Exchange via Local Interactions
Graph-based Interaction Models
Looking Ahead
Graph Theory
Graphs
Variations on the Theme
Graphs and Matrices
Algebraic and Spectral Graph Theory
Graph Symmetries
The Agreement Protocol: Part I-The Static Case
Reaching Agreement: Undirected Networks
Reaching Agreement: Directed Networks
Agreement and Markov Chains
The Factorization Lemma
The Agreement Protocol: Part II-Lyapunov and LaSalle
Agreement via Lyapunov Functions
Agreement over Switching Digraphs
Edge Agreement
Beyond Linearity
Probabilistic Analysis of Networks and Protocols
Random Graphs
Agreement over Random Networks
Agreement in the Presence of Noise
Other Probabilistic Models of Networks
Multiagent Networks
Formation Control
Formation Specification: Shapes
Formation Specification: Relative States
Shape-based Control
Relative State-based Control
Dynamic Formation Selection
Assigning Roles
Mobile Robots
Cooperative Robotics
Weighted Graph-based Feedback
Dynamic Graphs
Formation Control Revisited
The Coverage Problem
Distributed Estimation
Distributed Linear Least Squares
Pulsed Intercluster Communication
Implementation over Wireless Networks
Distributed Kalman Filtering
Social Networks, Epidemics, and Games
Diffusion on Social Networks-The Max Protocol
The Threshold Protocol
Epidemics
The Chip Firing Game
Networks As Systems
Agreement with Inputs and Outputs
The Basic Input-Output Setup
Graph Theoretic Controllability: The SISO Case
Graph Theoretic Controllability: The MIMO Case
Agreement Reachability
Network Feedback
Optimal Control
Synthesis of Networks
Network Formation
Local Formation Games
Potential Games and Best Response Dynamics
Network Synthesis: A Global Perspective
Discrete and Greedy
Optimizing the Weighted Agreement
Dynamic Graph Processes
State-dependent Graphs
Graphical Equations
Dynamic Graph Controllability
What Graphs Can Be Realized?
Planning over Proximity Graphs
Higher-order Networks
Simplicial Complexes
Combinatorial Laplacians
Triangulations and the Rips Complex
The Nerve Complex
Analysis
Matrix Theory
Control Theory
Probability
Optimization and Games
Bibliography
Index
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