000 03127nam a22005055i 4500
001 978-3-642-28003-0
003 DE-He213
005 20140220083310.0
007 cr nn 008mamaa
008 120301s2012 gw | s |||| 0|eng d
020 _a9783642280030
_9978-3-642-28003-0
024 7 _a10.1007/978-3-642-28003-0
_2doi
050 4 _aTJ212-225
072 7 _aTJFM
_2bicssc
072 7 _aTEC004000
_2bisacsh
082 0 4 _a629.8
_223
100 1 _aTouri, Behrouz.
_eauthor.
245 1 0 _aProduct of Random Stochastic Matrices and Distributed Averaging
_h[electronic resource] /
_cby Behrouz Touri.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2012.
300 _aXIII, 142p. 12 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Theses, Recognizing Outstanding Ph.D. Research,
_x2190-5053
505 0 _aIntroduction -- Products of Stochastic Matrices and Averaging Dynamics -- Ergodicity of Random Chains -- Infinite Flow Stability -- Implications -- Absolute Infinite Flow Property -- Averaging Dynamics in General State Spaces -- Conclusion and Suggestions for Future Works -- Appendices.
520 _aThe thesis deals with averaging dynamics in a multiagent networked system, which is a main mechanism for diffusing the information over such networks. It arises in a wide range of applications in engineered physical networks (such as mobile communication and sensor networks), as well as social and economic networks. The thesis provides in depth study of  stability and other phenomena characterizing the limiting behavior of both deterministic and random averaging dynamics. By developing new concepts, and using the tools from dynamic system theory and non-negative matrix theory, several novel fundamental results are rigorously developed. These contribute significantly to our understanding of averaging dynamics as well as to non-negative random matrix theory. The exposition, although highly rigorous and technical, is elegant and insightful, and accompanied with numerous illustrative examples, which makes this thesis work easily accessible to those just entering this field and will also be much appreciated by experts in the field.
650 0 _aEngineering.
650 0 _aComputer science.
650 0 _aDistribution (Probability theory).
650 0 _aMathematical statistics.
650 1 4 _aEngineering.
650 2 4 _aControl.
650 2 4 _aStatistical Physics, Dynamical Systems and Complexity.
650 2 4 _aProbability Theory and Stochastic Processes.
650 2 4 _aProbability and Statistics in Computer Science.
650 2 4 _aStatistical Theory and Methods.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642280023
830 0 _aSpringer Theses, Recognizing Outstanding Ph.D. Research,
_x2190-5053
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-28003-0
912 _aZDB-2-ENG
999 _c102700
_d102700