Graph theoretic methods in multiagent networks / / Mehran Mesbahi and Magnus Egerstedt

• Autore: Mesbahi Mehran
• Pubblicazione: Princeton : , : Princeton University Press, , [2010]; ©2010
• Edizione: STU student edition
• Descrizione fisica: 1 online resource (424 pages)
• Disciplina: 006.3
• Soggetto topico: Network analysis (Planning) - Graphic methods; Multiagent systems - Mathematical models
• Soggetto non controllato: Addition; Adjacency matrix; Algebraic graph theory; Algorithm; Automorphism; Bipartite graph; Cardinality; Cartesian product; Circulant graph; Combinatorics; Complete graph; Computation; Connectivity (graph theory); Controllability; Convex combination; Corollary; Cycle graph (algebra); Cycle space; Degree (graph theory); Degree matrix; Diagonal matrix; Diameter; Differentiable function; Dimension; Directed graph; Division by zero; Dynamical system; Eigenvalues and eigenvectors; Equilibrium point; Estimation; Estimator; Existential quantification; Extremal graph theory; Graph (discrete mathematics); Graph theory; Identity matrix; Incidence matrix; Information exchange; Initial condition; Interconnection; Iteration; Kalman filter; Kronecker product; LTI system theory; LaSalle's invariance principle; Laplacian matrix; Least squares; Line graph; Linear map; Lipschitz continuity; Lyapunov function; Lyapunov stability; Markov chain; Mathematical optimization; Matrix exponential; Measurement; Multi-agent system; Nash equilibrium; Natural number; Network topology; Nonnegative matrix; Notation; Observability; Optimal control; Optimization problem; Pairwise; Parameter; Path graph; Permutation matrix; Permutation; Positive semidefinite; Positive-definite matrix; Probability; Quantity; Random graph; Random variable; Rate of convergence; Requirement; Result; Robotics; Scientific notation; Sensor; Sign (mathematics); Simplicial complex; Special case; Spectral graph theory; Stochastic matrix; Strongly connected component; Subset; Summation; Supergraph; Symmetric matrix; Systems theory; Theorem; Theory; Unit interval; Upper and lower bounds; Variable (mathematics); Vector space; Without loss of generality
• Persona (resp. second.): EgerstedtMagnus
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Front matter -- Contents -- Preface -- Notation -- PART 1. FOUNDATIONS -- Chapter 1. Introduction -- Chapter 2. Graph Theory -- Chapter 3. The Agreement Protocol: Part I-The Static Case -- Chapter 4. The Agreement Protocol: Part II-Lyapunov and LaSalle -- Chapter 5. Probabilistic Analysis of Networks and Protocols -- PART 2. MULTIAGENT NETWORKS -- Chapter 6. Formation Control -- Chapter 7. Mobile Robots -- Chapter 8. Distributed Estimation -- Chapter 9. Social Networks, Epidemics, and Games -- PART 3. NETWORKS AS SYSTEMS -- Chapter 10. Agreement with Inputs and Outputs -- Chapter 11. Synthesis of Networks -- Chapter 12. Dynamic Graph Processes -- Chapter 13. Higher-order Networks -- Appendix A. -- Bibliography -- Index
• Sommario/riassunto: 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
• Titolo autorizzato: Graph theoretic methods in multiagent networks
• ISBN: 9781400835355 (electronic book); 1-282-97910-8; 9786612979101; 1-4008-3535-6
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910816716403321
• Lo trovi qui: Univ. Federico II
• Serie: Princeton series in applied mathematics.