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020 _a9783319680224
024 7 _a10.1007/978-3-319-68022-4
_2doi
040 _bspa
_cES-MaUEC
_dES-MaUEC
050 4 _aQA76.76.I58
_bF346 2018 EB
100 1 _aFagnani, Fabio.
_eautor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_0http://id.loc.gov/authorities/names/nb2015015126
_1http://viaf.org/viaf/286858772/
245 1 0 _aIntroduction to Averaging Dynamics over Networks
_cby Fabio Fagnani, Paolo Frasca.
264 1 _aCham
_bSpringer International Publishing
_c2018
300 _a1 recurso en línea (XII, 135 páginas 22 ilustraciones, 3 ilustraciones a color.)
336 _2rdacontent
_aTexto
_btxt
337 _2rdamedia
_aelectrónico
_bc
338 _2rdacarrier
_arecurso electrónico
_bcr
347 _atext file
_bPDF
490 0 _aLecture Notes in Control and Information Sciences,
_x0170-8643
_v472
490 0 _aEngineering (Springer-11647)
505 0 _aGraph Theory -- Averaging in Time-Invariant Networks -- Averaging in Time-Varying Networks -- Performance and Robustness of Averaging Algorithms -- Averaging with Exogenous Inputs and Electrical Networks -- Index.
520 3 _aThis 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, theauthors 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.
988 _aEBSPRINGER_2018
650 4 _9400080
_aAplicaciones informáticas
700 1 _aFrasca, Paolo.
_eautor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_1http://viaf.org/viaf/307335495/
776 0 8 _iEdición impresa:
_z9783319680217
776 0 8 _iEdición impresa:
_z9783319680231
776 0 8 _iEdición impresa:
_z9783319885322
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-319-68022-4
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942 _2lcc
_cLE