메뉴 건너뛰기




Volumn 44, Issue 3, 2008, Pages 671-684

Communication constraints in the average consensus problem

Author keywords

Consensus; Convergence rate; Logarithmic quantization; Mixing rate of Markov chains; Multi agent coordination; Random networks

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; INFORMATION THEORY; MARKOV PROCESSES; MULTI AGENT SYSTEMS; PROBLEM SOLVING;

EID: 39449124137     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2007.07.009     Document Type: Article
Times cited : (246)

References (44)
  • 1
    • 51249173340 scopus 로고
    • Eigenvalues and expanders
    • Alon N. Eigenvalues and expanders. Combinatorica 6 2 (1986) 83-86
    • (1986) Combinatorica , vol.6 , Issue.2 , pp. 83-86
    • Alon, N.1
  • 5
    • 85128546394 scopus 로고    scopus 로고
    • Bolzen, P., Colaneri, P., & De Nicolao, G. (2004). On almost sure stability of discrete-time Markov jump linear systems. In IEEE conference on decision and control.
    • Bolzen, P., Colaneri, P., & De Nicolao, G. (2004). On almost sure stability of discrete-time Markov jump linear systems. In IEEE conference on decision and control.
  • 6
    • 39449093992 scopus 로고    scopus 로고
    • Boyd, S., Diaconis, P., Parrilo, P., & Xiao, L. (2003). Symmetry analysis of reversible Markov chains. Technical Report, Department of Statistics, Stanford University.
    • Boyd, S., Diaconis, P., Parrilo, P., & Xiao, L. (2003). Symmetry analysis of reversible Markov chains. Technical Report, Department of Statistics, Stanford University.
  • 7
    • 11344275321 scopus 로고    scopus 로고
    • Fastest mixing Markov chain on a graph
    • Boyd S., Diaconis P., and Xiao L. Fastest mixing Markov chain on a graph. SIAM Review 46 (2004) 667-689
    • (2004) SIAM Review , vol.46 , pp. 667-689
    • Boyd, S.1    Diaconis, P.2    Xiao, L.3
  • 9
    • 33747587663 scopus 로고    scopus 로고
    • Cortés, J., Martínez, S., & Bullo, F. (2006). Robust rendezvous for mobile autonomous agents via proximity graphs in arbitrary dimensions. IEEE Transaction on Automatic Control, 51 (8), 1289-1298.
    • Cortés, J., Martínez, S., & Bullo, F. (2006). Robust rendezvous for mobile autonomous agents via proximity graphs in arbitrary dimensions. IEEE Transaction on Automatic Control, 51 (8), 1289-1298.
  • 10
    • 0141750576 scopus 로고    scopus 로고
    • Distributed control design for spatially interconnected systems
    • D'Andrea R., and Dullerud G.E. Distributed control design for spatially interconnected systems. IEEE Transactions on Automatic Control 48 9 (2003) 1478-1495
    • (2003) IEEE Transactions on Automatic Control , vol.48 , Issue.9 , pp. 1478-1495
    • D'Andrea, R.1    Dullerud, G.E.2
  • 11
    • 39449122196 scopus 로고    scopus 로고
    • Diaconis, P. (1988). Group representations in probability and statistics. In S. S. Gupta (Ed.), IMS lecture notes-monograph series (Vol. 11). Hawyard, CA: Institute of Mathematical Statistics.
    • Diaconis, P. (1988). Group representations in probability and statistics. In S. S. Gupta (Ed.), IMS lecture notes-monograph series (Vol. 11). Hawyard, CA: Institute of Mathematical Statistics.
  • 12
    • 39449124971 scopus 로고    scopus 로고
    • Diestel, R. (2005). Graph theory. Graduate texts in mathematics (3rd ed.) (Vol. 173). Heidelberg: Springer.
    • Diestel, R. (2005). Graph theory. Graduate texts in mathematics (3rd ed.) (Vol. 173). Heidelberg: Springer.
  • 14
    • 4644236459 scopus 로고    scopus 로고
    • Quantized stabilization of linear systems: Complexity versus performances
    • Fagnani F., and Zampieri S. Quantized stabilization of linear systems: Complexity versus performances. IEEE Transactions on Automatic Control 49 (2004) 1534-1548
    • (2004) IEEE Transactions on Automatic Control , vol.49 , pp. 1534-1548
    • Fagnani, F.1    Zampieri, S.2
  • 16
    • 4644317383 scopus 로고    scopus 로고
    • Information flow and cooperative control of vehicle formations
    • Fax J.A., and Murray R.M. Information flow and cooperative control of vehicle formations. IEEE Transaction on Automatic Control 49 9 (2004) 1465-1476
    • (2004) IEEE Transaction on Automatic Control , vol.49 , Issue.9 , pp. 1465-1476
    • Fax, J.A.1    Murray, R.M.2
  • 17
    • 33745700826 scopus 로고    scopus 로고
    • Ferrari-Trecate, G., Buffa, A., & Gati, M. (2006). Analysis of coordination in multiple agents formations through partial difference equations. IEEE Trans. on Automatic Control, 51 (6), 1058-1063.
    • Ferrari-Trecate, G., Buffa, A., & Gati, M. (2006). Analysis of coordination in multiple agents formations through partial difference equations. IEEE Trans. on Automatic Control, 51 (6), 1058-1063.
  • 18
    • 0038784477 scopus 로고    scopus 로고
    • Friedman, J. (2003). A proof of Alon's second eigenvalue conjecture. Proceedings of the thirty-fifth annual ACM symposium on theory of computing (pp. 720-724), New York: ACM.
    • Friedman, J. (2003). A proof of Alon's second eigenvalue conjecture. Proceedings of the thirty-fifth annual ACM symposium on theory of computing (pp. 720-724), New York: ACM.
  • 21
    • 39449135608 scopus 로고    scopus 로고
    • Hatano, Y., & Mesbahi, M. (2004). Agreement of random networks. In IEEE conference on decision and control.
    • Hatano, Y., & Mesbahi, M. (2004). Agreement of random networks. In IEEE conference on decision and control.
  • 22
    • 0038548185 scopus 로고    scopus 로고
    • Coordination of groups of mobile autonomous agents using nearest neighbor rules
    • Jadbabaie A., Lin J., and Morse A.S. Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Transactions on Automatic Control 48 6 (2003) 988-1001
    • (2003) IEEE Transactions on Automatic Control , vol.48 , Issue.6 , pp. 988-1001
    • Jadbabaie, A.1    Lin, J.2    Morse, A.S.3
  • 23
    • 79960718965 scopus 로고    scopus 로고
    • Johansson, K. H., Speranzon, A., & Zampieri, S. (2005). On quantization and communication topologies in multi-vehicle rendezvous. In Proceedings of IFAC World congress.
    • Johansson, K. H., Speranzon, A., & Zampieri, S. (2005). On quantization and communication topologies in multi-vehicle rendezvous. In Proceedings of IFAC World congress.
  • 24
    • 53049088107 scopus 로고    scopus 로고
    • Lin, J., Morse, A. S., & Anderson, B. D. O. (2004). The multi-agent rendezvous problem: An extended summary. In A. S. Morse, V. Kumar, & N. E. Leonard (Eds.), Proceedings of the 2003 block island workshop on cooperative control, Lecture notes in control and information sciences (Vol. 309, pp. 257-282). New York: Springer.
    • Lin, J., Morse, A. S., & Anderson, B. D. O. (2004). The multi-agent rendezvous problem: An extended summary. In A. S. Morse, V. Kumar, & N. E. Leonard (Eds.), Proceedings of the 2003 block island workshop on cooperative control, Lecture notes in control and information sciences (Vol. 309, pp. 257-282). New York: Springer.
  • 25
    • 79960717036 scopus 로고    scopus 로고
    • Lin, Z., Francis, B., & Maggiore, M. (2005). On the state agreement problem for multiple nonlinear dynamical systems. In Proceedings of 16th IFAC World congress.
    • Lin, Z., Francis, B., & Maggiore, M. (2005). On the state agreement problem for multiple nonlinear dynamical systems. In Proceedings of 16th IFAC World congress.
  • 26
    • 41349085147 scopus 로고    scopus 로고
    • Synchronization of oscillators with long range interaction: Phase transition and anomalous finite size effects
    • Marodi M., d'Ovidio F., and Vicsek T. Synchronization of oscillators with long range interaction: Phase transition and anomalous finite size effects. Physical Review E 66 (2002)
    • (2002) Physical Review E , vol.66
    • Marodi, M.1    d'Ovidio, F.2    Vicsek, T.3
  • 27
    • 12944293796 scopus 로고    scopus 로고
    • Stability of multiagent systems with time-dependent communication links
    • Moreau L. Stability of multiagent systems with time-dependent communication links. IEEE Transactions on Automatic Control 50 (2005) 169-182
    • (2005) IEEE Transactions on Automatic Control , vol.50 , pp. 169-182
    • Moreau, L.1
  • 29
    • 33645001047 scopus 로고    scopus 로고
    • Olfati-Saber, R. (2005a). Distributed Kalman filter with embedded consensus filters. In IEEE conference on decision and control.
    • Olfati-Saber, R. (2005a). Distributed Kalman filter with embedded consensus filters. In IEEE conference on decision and control.
  • 30
    • 23944482529 scopus 로고    scopus 로고
    • Olfati-Saber, R. (2005b). Ultrafast consensus in small-world networks. In American control conference.
    • Olfati-Saber, R. (2005b). Ultrafast consensus in small-world networks. In American control conference.
  • 31
    • 33644997478 scopus 로고    scopus 로고
    • Flocking for multi-agent dynamic systems: Algorithms and theory
    • Olfati-Saber R. Flocking for multi-agent dynamic systems: Algorithms and theory. IEEE Transactions on Automatic Control 51 3 (2006) 401-421
    • (2006) IEEE Transactions on Automatic Control , vol.51 , Issue.3 , pp. 401-421
    • Olfati-Saber, R.1
  • 32
    • 39549092433 scopus 로고    scopus 로고
    • Olfati-Saber, R. (2007). Algebraic connectivity ratio of Ramunujan graphs. In Proceedings of American control conference (ACC '07).
    • Olfati-Saber, R. (2007). Algebraic connectivity ratio of Ramunujan graphs. In Proceedings of American control conference (ACC '07).
  • 33
    • 64149119332 scopus 로고    scopus 로고
    • Consensus and cooperation in networked multi-agent systems
    • Olfati-Saber R., Fax J.A., and Murray R.M. Consensus and cooperation in networked multi-agent systems. Proceedings of the IEEE 95 1 (2007) 215-233
    • (2007) Proceedings of the IEEE , vol.95 , Issue.1 , pp. 215-233
    • Olfati-Saber, R.1    Fax, J.A.2    Murray, R.M.3
  • 34
    • 4644244041 scopus 로고    scopus 로고
    • Consensus problems in networks of agents with switching topology and time-delays
    • Olfati-Saber R., and Murray R.M. Consensus problems in networks of agents with switching topology and time-delays. IEEE Transactions on Automatic Control 49 9 (2004) 1520-1533
    • (2004) IEEE Transactions on Automatic Control , vol.49 , Issue.9 , pp. 1520-1533
    • Olfati-Saber, R.1    Murray, R.M.2
  • 35
    • 4644336905 scopus 로고    scopus 로고
    • Distributed control of systems over discrete groups
    • Recht B., and D'Andrea R. Distributed control of systems over discrete groups. IEEE Transactions on Automatic Control 49 9 (2004) 1446-1452
    • (2004) IEEE Transactions on Automatic Control , vol.49 , Issue.9 , pp. 1446-1452
    • Recht, B.1    D'Andrea, R.2
  • 36
    • 20344399896 scopus 로고    scopus 로고
    • Consensus seeking in multiagent systems under dynamically changing interaction topologies
    • Ren W., and Beard R.W. Consensus seeking in multiagent systems under dynamically changing interaction topologies. IEEE Transaction on Automatic Control 50 5 (2005)
    • (2005) IEEE Transaction on Automatic Control , vol.50 , Issue.5
    • Ren, W.1    Beard, R.W.2
  • 37
    • 23944486457 scopus 로고    scopus 로고
    • Ren, W., Beard, R. W., & Atkins, E. M. (2005). A survey of consensus problems in multi-agent coordination. In American control conference.
    • Ren, W., Beard, R. W., & Atkins, E. M. (2005). A survey of consensus problems in multi-agent coordination. In American control conference.
  • 38
    • 4644270611 scopus 로고    scopus 로고
    • Random walks on finite groups
    • H. Kesten (Ed), Springer, Berlin
    • Saloff-Coste L. Random walks on finite groups. In: H. Kesten (Ed). In Encyclopaedia of mathematical sciences (2004), Springer, Berlin 263-346
    • (2004) In Encyclopaedia of mathematical sciences , pp. 263-346
    • Saloff-Coste, L.1
  • 39
    • 17644388441 scopus 로고    scopus 로고
    • A hierarchical cyclic pursuit scheme for vehicle networks
    • Smith S.L., Broucke M.E., and Francis B.A. A hierarchical cyclic pursuit scheme for vehicle networks. Automatica 41 6 (2005) 1045-1053
    • (2005) Automatica , vol.41 , Issue.6 , pp. 1045-1053
    • Smith, S.L.1    Broucke, M.E.2    Francis, B.A.3
  • 40
    • 0039592729 scopus 로고    scopus 로고
    • From Kuramoto to Crawford: Exploring the onset of synchronization in populations of coupled oscillators
    • Strogatz S.H. From Kuramoto to Crawford: Exploring the onset of synchronization in populations of coupled oscillators. Physica D: Nonlinear Phenomena 143 1-4 (2000) 1-20
    • (2000) Physica D: Nonlinear Phenomena , vol.143 , Issue.1-4 , pp. 1-20
    • Strogatz, S.H.1
  • 41
    • 39449107746 scopus 로고    scopus 로고
    • Tanner, H. G., Jadbabaie, A., & Pappas, G. J. (2003). Stable flocking of mobile agents, part I and part III. In IEEE conference on decision and control.
    • Tanner, H. G., Jadbabaie, A., & Pappas, G. J. (2003). Stable flocking of mobile agents, part I and part III. In IEEE conference on decision and control.
  • 42
    • 39449098437 scopus 로고    scopus 로고
    • Terras, A. (1999). Fourier analysis on finite groups and applications. London mathematical society student texts (Vol. 43). Cambridge, MA: Cambridge University Press.
    • Terras, A. (1999). Fourier analysis on finite groups and applications. London mathematical society student texts (Vol. 43). Cambridge, MA: Cambridge University Press.
  • 43
    • 39449117407 scopus 로고    scopus 로고
    • Tsitsiklis, J. (1984). Problems in decentralized decision making and computation. Ph.D. thesis, Department of EECs, MIT.
    • Tsitsiklis, J. (1984). Problems in decentralized decision making and computation. Ph.D. thesis, Department of EECs, MIT.
  • 44
    • 33748528695 scopus 로고    scopus 로고
    • Graphes de Ramanujan
    • Valette A. Graphes de Ramanujan. Astérisque 245 (1997) 247-276
    • (1997) Astérisque , vol.245 , pp. 247-276
    • Valette, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.