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Volumn 56, Issue 7, 2011, Pages 1593-1605

On ergodicity, infinite flow, and consensus in random models

Author keywords

Ergodicity; infinite flow; linear random model; product of random matrices; random consensus

Indexed keywords

ERGODICITY; INFINITE FLOW; PRODUCT OF RANDOM MATRICES; RANDOM CONSENSUS; RANDOM MODEL;

EID: 79960122105     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2010.2091174     Document Type: Article
Times cited : (96)

References (38)
  • 1
    • 50549206917 scopus 로고
    • Products of independent identically distributed stochastic matrices
    • M. Rosenblatt, "Products of independent identically distributed stochastic matrices," J. Math. Anal. Appl., vol. 11, no. 1, pp. 1-10, 1965.
    • (1965) J. Math. Anal. Appl. , vol.11 , Issue.1 , pp. 1-10
    • Rosenblatt, M.1
  • 2
    • 0003448433 scopus 로고
    • Discrete open systems on Markov chains in a random environment. i
    • K. Nawrotzki, "Discrete open systems on Markov chains in a random environment. I," Elektron. Inf. Kybernetik, vol. 17, pp. 569-599, 1981.
    • (1981) Elektron. Inf. Kybernetik , vol.17 , pp. 569-599
    • Nawrotzki, K.1
  • 3
    • 0042537564 scopus 로고
    • Discrete open systems on markov chains in a random environment. II
    • K. Nawrotzki, "Discrete open systems on markov chains in a random environment. II," Elektron. Inf. Kybernetik, vol. 18, pp. 83-98, 1982.
    • (1982) Elektron. Inf. Kybernetik , vol.18 , pp. 83-98
    • Nawrotzki, K.1
  • 4
    • 34250184915 scopus 로고
    • On products of random stochastic matrices
    • Providence, RI: Amer. Math. Soc.
    • R. Cogburn, "On products of random stochastic matrices," in Random Matrices and Their Applications. Providence, RI: Amer. Math. Soc., 1986, pp. 199-213.
    • (1986) Random Matrices and Their Applications , pp. 199-213
    • Cogburn, R.1
  • 5
    • 42649100996 scopus 로고    scopus 로고
    • A necessary and sufficient condition for consensus over random networks
    • DOI 10.1109/TAC.2008.917743
    • A. Tahbaz-Salehi and A. Jadbabaie, "A necessary and sufficient condition for consensus over random networks," IEEE Trans. Autom. Control, vol. 53, no. 3, pp. 791-795, Apr. 2008. (Pubitemid 351597186)
    • (2008) IEEE Transactions on Automatic Control , vol.53 , Issue.3 , pp. 791-795
    • Tahbaz-Salehi, A.1    Jadbabaie, A.2
  • 6
    • 43349085369 scopus 로고    scopus 로고
    • Randomized consensus algorithms over large scale networks
    • DOI 10.1109/JSAC.2008.080506, 4497789
    • F. Fagnani and S. Zampieri, "Randomized consensus algorithms over large scale networks," IEEE J. Sel. Areas Commun., vol. 26, no. 4, pp. 634-649, May 2008. (Pubitemid 351658779)
    • (2008) IEEE Journal on Selected Areas in Communications , vol.26 , Issue.4 , pp. 634-649
    • Fagnani, F.1    Zampieri, S.2
  • 7
    • 75449091149 scopus 로고    scopus 로고
    • Consensus over ergodic stationary graph processes
    • Jan.
    • A. Tahbaz-Salehi and A. Jadbabaie, "Consensus over ergodic stationary graph processes," IEEE Trans. Autom. Control, vol. 55, no. 1, pp. 225-230, Jan. 2010.
    • (2010) IEEE Trans. Autom. Control , vol.55 , Issue.1 , pp. 225-230
    • Tahbaz-Salehi, A.1    Jadbabaie, A.2
  • 10
    • 62749168301 scopus 로고    scopus 로고
    • Distributed average consensus with stochastic communication failures
    • DOI 10.1109/CDC.2007.4434917, 4434917, Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
    • S. Patterson, B. Bamieh, and A. E. Abbadi, "Distributed average consensus with stochastic communication failures," in Proc. 46th IEEE Conf. Decision Control, 2007, pp. 4215-4220. (Pubitemid 351277806)
    • (2007) Proceedings of the IEEE Conference on Decision and Control , pp. 4215-4220
    • Patterson, S.1    Bamieh, B.2    El Abbadi, A.3
  • 12
    • 40749127156 scopus 로고    scopus 로고
    • Geographic gossip: Efficient averaging for sensor networks
    • DOI 10.1109/TSP.2007.908946
    • A. Dimakis, A. Sarwate, and M. Wainwright, "Geographic gossip: Efficient averaging for sensor networks," IEEE Trans. Signal Process., vol. 56, no. 3, pp. 1205-1216, Mar. 2008. (Pubitemid 351386279)
    • (2008) IEEE Transactions on Signal Processing , vol.56 , Issue.3 , pp. 1205-1216
    • Dimakis, A.A.G.1    Sarwate, A.D.2    Wainwright, M.J.3
  • 14
    • 73049116699 scopus 로고    scopus 로고
    • Gossip consensus algorithms via quantized communication
    • P. F. R. Carli, F. Fagnani, and S. Zampieri, "Gossip consensus algorithms via quantized communication," Automatica, vol. 46, no. 1, pp. 70-80, 2010.
    • (2010) Automatica , vol.46 , Issue.1 , pp. 70-80
    • Carli, P.F.R.1    Fagnani, F.2    Zampieri, S.3
  • 15
    • 52449093845 scopus 로고    scopus 로고
    • Stochastic approximation for consensus seeking: Mean square and almost sure convergence
    • DOI 10.1109/CDC.2007.4434630, 4434630, Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
    • M. Huang and J. Manton, "Stochastic approximation for consensus seeking: Mean square and almost sure convergence," in Proc. 46th IEEE Conf. Decision Control, 2007, pp. 306-311. (Pubitemid 351277170)
    • (2007) Proceedings of the IEEE Conference on Decision and Control , pp. 306-311
    • Huang, M.1    Manton, J.H.2
  • 16
    • 60349124223 scopus 로고    scopus 로고
    • Coordination and consensus of networked agents with noisy measurements: Stochastic algorithms and asymptotic behavior
    • M. Huang and J. Manton, "Coordination and consensus of networked agents with noisy measurements: Stochastic algorithms and asymptotic behavior," SIAM J. Control Optimiz., vol. 48, no. 1, pp. 134-161, 2009.
    • (2009) SIAM J. Control Optimiz. , vol.48 , Issue.1 , pp. 134-161
    • Huang, M.1    Manton, J.2
  • 17
    • 58649106429 scopus 로고    scopus 로고
    • Distributed consensus algorithms in sensor networks: Link failures and channel noise
    • Jan.
    • S. Kar and J. Moura, "Distributed consensus algorithms in sensor networks: Link failures and channel noise," IEEE Trans. Signal Process., vol. 57, no. 1, pp. 355-369, Jan. 2009.
    • (2009) IEEE Trans. Signal Process. , vol.57 , Issue.1 , pp. 355-369
    • Kar, S.1    Moura, J.2
  • 18
    • 70449356565 scopus 로고    scopus 로고
    • Distributed consensus over network with noisy links
    • B. Touri and A. Nedić, "Distributed consensus over network with noisy links," in Proc. 12th Int. Conf. Inf. Fusion, 2009, pp. 146-154.
    • (2009) Proc. 12th Int. Conf. Inf. Fusion , pp. 146-154
    • Touri, B.1    Nedić, A.2
  • 20
    • 0021120121 scopus 로고
    • Convergence and asymptotic agreement in distributed decision problems
    • J. Tsitsiklis and M. Athans, "Convergence and asymptotic agreement in distributed decision problems," IEEE Trans. Autom. Control, vol. AC-29, no. 1, pp. 42-50, Jan. 1984. (Pubitemid 14529258)
    • (1984) IEEE Transactions on Automatic Control , vol.AC-29 , Issue.1 , pp. 42-50
    • Tsitsiklis John, N.1    Athans Michael2
  • 21
  • 23
    • 0023383331 scopus 로고
    • Asymptotic agreement and convergence of asynchronous stochastic algorithms
    • S. Li and T. Basar, "Asymptotic agreement and convergence of asynchronous stochastic algorithms," IEEE Trans. Autom. Control, vol. AC-32, no. 7, pp. 612-618, Jul. 1987. (Pubitemid 17632335)
    • (1987) IEEE Transactions on Automatic Control , vol.AC-32 , Issue.7 , pp. 612-618
    • Li Shu1    Basar Tamer2
  • 24
    • 0038548185 scopus 로고    scopus 로고
    • Coordination of groups of mobile autonomous agents using nearest neighbor rules
    • Jun.
    • A. Jadbabaie, J. Lin, and S. Morse, "Coordination of groups of mobile autonomous agents using nearest neighbor rules," IEEE Trans. Autom. Control, vol. 48, no. 6, pp. 988-1001, Jun. 2003.
    • (2003) IEEE Trans. Autom. Control , vol.48 , Issue.6 , pp. 988-1001
    • Jadbabaie, A.1    Lin, J.2    Morse, S.3
  • 25
    • 4644244041 scopus 로고    scopus 로고
    • Consensus problems in networks of agents with switching topology and time-delays
    • Sep.
    • R. Olfati-Saber and R. Murray, "Consensus problems in networks of agents with switching topology and time-delays," IEEE Trans. Autom. Control, vol. 49, no. 9, pp. 1520-1533, Sep. 2004.
    • (2004) IEEE Trans. Autom. Control , vol.49 , Issue.9 , pp. 1520-1533
    • Olfati-Saber, R.1    Murray, R.2
  • 26
    • 60349098442 scopus 로고    scopus 로고
    • Convergence speed in distributed consensus and averaging
    • A. Olshevsky and J. Tsitsiklis, "Convergence speed in distributed consensus and averaging," SIAM J. Control Optimiz., vol. 48, no. 1, pp. 33-55, 2008.
    • (2008) SIAM J. Control Optimiz. , vol.48 , Issue.1 , pp. 33-55
    • Olshevsky, A.1    Tsitsiklis, J.2
  • 27
    • 20344399896 scopus 로고    scopus 로고
    • Consensus seeking in multiagent systems under dynamically changing interaction topologies
    • DOI 10.1109/TAC.2005.846556
    • W. Ren and R. Beard, "Consensus seeking in multiagent systems under dynamically changing interaction topologies," IEEE Trans. Autom. Control, vol. 50, no. 5, pp. 655-661, May 2005. (Pubitemid 40784437)
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.5 , pp. 655-661
    • Ren, W.1    Beard, R.W.2
  • 28
    • 34249005184 scopus 로고    scopus 로고
    • Quantized consensus
    • DOI 10.1016/j.automatica.2007.01.002, PII S0005109807001045
    • A. Kashyap, T. Basar, and R. Srikant, "Quantized consensus," Automatica, vol. 43, no. 7, pp. 1192-1203, 2007. (Pubitemid 46802442)
    • (2007) Automatica , vol.43 , Issue.7 , pp. 1192-1203
    • Kashyap, A.1    Basar, T.2    Srikant, R.3
  • 29
    • 77958599285 scopus 로고    scopus 로고
    • On distributed averaging algorithms and quantization effects
    • Nov.
    • A. Nedić, A. Olshevsky, A. Ozdaglar, and J. Tsitsiklis, "On distributed averaging algorithms and quantization effects," IEEE Trans. Autom. Control, vol. 54, no. 11, pp. 2506-2517, Nov. 2009.
    • (2009) IEEE Trans. Autom. Control , vol.54 , Issue.11 , pp. 2506-2517
    • Nedić, A.1    Olshevsky, A.2    Ozdaglar, A.3    Tsitsiklis, J.4
  • 30
    • 39449124137 scopus 로고    scopus 로고
    • Communication constraints in the average consensus problem
    • DOI 10.1016/j.automatica.2007.07.009, PII S0005109807003615
    • R. Carli, F. Fagnani, A. Speranzon, and S. Zampieri, "Communication constraints in the average consensus problem," Automatica, vol. 44, no. 3, pp. 671-684, 2008. (Pubitemid 351273696)
    • (2008) Automatica , vol.44 , Issue.3 , pp. 671-684
    • Carli, R.1    Fagnani, F.2    Speranzon, A.3    Zampieri, S.4
  • 33
    • 0001778912 scopus 로고
    • Towards consensus: Some convergence theorems on repeated averaging
    • Mar.
    • S. Chatterjee and E. Seneta, "Towards consensus: Some convergence theorems on repeated averaging," J. Appl. Probab., vol. 14, no. 1, pp. 89-97, Mar. 1977.
    • (1977) J. Appl. Probab. , vol.14 , Issue.1 , pp. 89-97
    • Chatterjee, S.1    Seneta, E.2
  • 36
    • 25844517631 scopus 로고    scopus 로고
    • Gossip algorithms: Design, analysis and applications
    • Proceedings - IEEE INFOCOM 2005. The Conference on Computer Communications - 24th Annual Joint Conference of the IEEE Computer and Communications Societies
    • S. Boyd, A. Ghosh, B. Prabhakar, and D. Shah, "Gossip algorithms: Design, analysis, and applications," in Proc. IEEE INFOCOM, 2005, pp. 1653-1664. (Pubitemid 41390681)
    • (2005) Proceedings - IEEE INFOCOM , vol.3 , pp. 1653-1664
    • Boyd, S.1    Ghosh, A.2    Prabhakar, B.3    Shah, D.4
  • 37
    • 62749193789 scopus 로고    scopus 로고
    • On the rate of convergence of distributed subgradient methods for multi-agent optimization
    • DOI 10.1109/CDC.2007.4434693, 4434693, Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
    • A. Nedić and A. Ozdaglar, "On the rate of convergence of distributed subgradient methods for multi-agent optimization," in Proc. IEEE CDC, 2007, pp. 4711-4716. (Pubitemid 351277887)
    • (2007) Proceedings of the IEEE Conference on Decision and Control , pp. 4711-4716
    • Nedic, A.1    Ozdaglar, A.2
  • 38
    • 59649103668 scopus 로고    scopus 로고
    • Distributed subgradient methods for multiagent optimization
    • Jan.
    • A. Nedić and A. Ozdaglar, "Distributed subgradient methods for multiagent optimization," IEEE Trans. Autom. Control, vol. 54, no. 1, pp. 48-61, Jan. 2009.
    • (2009) IEEE Trans. Autom. Control , vol.54 , Issue.1 , pp. 48-61
    • Nedić, A.1    Ozdaglar, A.2


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