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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 estimation from relative measurements. The dynamics described in the book find application in the study of opinion dynamics in social networks, of information fusion in sensor networks, and of the collective motion of animal groups and teams of unmanned vehicles. Introduction to Averaging Dynamics over Networks will be of material interest to researchers in systems and control studying coordinated or distributed control, networked systems or multiagent systems and to graduate students pursuing courses in these areas.

'No one has measured, not even poets, how much the heart can hold.' Zelda Fitzgerald Love is not a singular concept. In this collection, seven award-winning authors explore seven concepts of love: from Philautia, self-love, to Agape, love for humanity; and from Storge, a natural affection for family, to Mania, a frenzied, obsessive love. Seven authors; seven short stories; seven flashes of love. The publication of How Much the Heart Can Hold is heralded by a Sceptre short story competition. The winning story, based on a concept of love, will be published in the paperback edition. Revise for MEI Structured Mathematics has been written by experienced authors especially for A Level mathematics students and provides the ideal preparation for their exam. The series accompanies Introduction to Averaging Dynamics over Networks download epub the MEI Structured Mathematics textbooks. This Revision Guide covers the full content of the C2 module. Each topic is put into context in terms of its general application, and its links to other modules in the course. It also contains handy reminders of related topics covered previously, whilst worked solutions guide students through all the necessary steps in solving typical questions. Features to help students to improve their grades and to ensure exam success include: - 'Key Facts' - a summary of the essential points to remember- 'Caution' - a guide to the most common exam pitfalls students can avoid.

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Author: Fabio Fagnani,Paolo Frasca
Number of Pages: 135 pages
Published Date: 05 Nov 2017
Publisher: Springer International Publishing AG
Publication Country: Cham, Switzerland
Language: English
ISBN: 9783319680217
Download Link: Click Here
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