| 书目名称 | Introduction to Averaging Dynamics over Networks |
| 编辑 | Fabio Fagnani,Paolo Frasca |
| 视频video | |
| 概述 | Organizes and refocusses the latest studies in an important approach to networked and multi-agent systems.Self-contained treatment requires only general undergraduate mathematics to make use of the co |
| 丛书名称 | Lecture Notes in Control and Information Sciences |
| 图书封面 |  |
| 描述 | .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 est |
| 出版日期 | Book 2018 |
| 关键词 | Coordinated Control; Consensus Dynamics; Averaging Dynamics; Graph-theoretic Methods in Control; Multi-a |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-68022-4 |
| isbn_softcover | 978-3-319-88532-2 |
| isbn_ebook | 978-3-319-68022-4Series ISSN 0170-8643 Series E-ISSN 1610-7411 |
| issn_series | 0170-8643 |
| copyright | Springer International Publishing AG 2018 |
发表于 2025-3-21 18:11:23
