Discrete Networked Dynamic Systems: Analysis and Performance
Mahmoud, Magdi S.
Xia, Yuanqing
Discrete Networked Dynamic Systems provides a high-level treatment of a general class of linear discrete-time dynamic systems interconnected over an information network, exchanging relative state measurements or output measurements. It presents a systematic analysis of the material and provides an account to the math development in a unified way. The topics in this book are structured along four dimensions: Agent, Environment, Interaction, and Organization, while keeping global (system-centered) and local (agent-centered) viewpoints. The focus is on the wide-sense consensus problem in discrete networked dynamic systems. The authors rely heavily on algebraic graph theory and topology to derive their results. It is known that graphs play an important role in the analysis of interactions between multiagent/distributed systems. Graph-theoretic analysis provides insight into how topological interactions play a role in achieving coordination among agents. Numerous types of graphs exist in the literature, depending on the edge set of G. A simple graph has no self-loop or edges. Complete graphs are simple graphs with an edge connecting any pair of vertices. The vertex set in a bipartite graph can be partitioned into disjoint non-empty vertex sets, whereby there is an edge connecting every vertex in one set to every vertex in the other set. Random graphs have fixed vertex sets, but the edge set exhibits stochastic behavior modeled by probability functions. Much of the studies in coordination control are based on deterministic/fixed graphs, switching graphs, and random graphs. This book addresses advanced analytical tools for characterization control, estimation, and design of networked dynamic systems over fixed, probabilistic, and time-varying graphsProvides coherent results on adopting a set-theoretic framework for critically examining problems of the analysis, performance, and design of discrete distributed systems over graphsDeals with both homogeneous and heterogeneous systems to guarantee the generality of the design results INDICE: 1. Overview 2. Mathematical Background 3. Structural Properties of Networked Systems 4. Energy-Based Cooperative Control 5. Approaches to Network Design 6. Spectral Properties of Complex Networks 7. Graph-theoretic Approach to Multiagent Coordination 8. Distributed Control and Estimation over Graph 9. Distributed Kalman Filtering
- ISBN: 978-0-12-823698-7
- Editorial: Academic Press
- Encuadernacion: Rústica
- Páginas: 520
- Fecha Publicación: 01/02/2021
- Nº Volúmenes: 1
- Idioma: Inglés