Discrete-time distributed consensus on multiplex networks

New Journal of Physics

Volumn 16, Issue , 2014, Pages

  Trpevski, I ^a   Stanoev, A ^a,b   Koseska, A ^b   Kocarev, L ^a,c,d  

^a MACEDONIAN ACADEMY OF SCIENCES AND ARTS   (Macedonia)

^b Max Planck Institute for Molecular Physiology   (Germany)

^c SS CYRIL AND METHODIUS UNIVERSITY   (Macedonia)

^d UNIVERSITY OF CALIFORNIA SAN DIEGO   (United States)

Author keywords

Consensus algorithm; Markov chains; Multiplex networks

Indexed keywords

CHAINS; COMPLEX NETWORKS; MARKOV PROCESSES; MULTIPLEXING;

CONSENSUS ALGORITHMS; CONVERGENCE SPEED; DIFFERENT LAYERS; DISTRIBUTED CONSENSUS; FASTER CONVERGENCE; MULTIPLEX NETWORKS; NUMBER OF LAYERS; PARAMETER SPACES;

NETWORK LAYERS;

EID: 84918590777     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/16/11/113063     Document Type: Article

References (19)

1. DeGroot M H 1974 J. Am. Stat. Assoc. 69 118-21
2. Olfati-Saber R, Fax J A and Murray R M 2007 Proc. IEEE 95 215-33
3. Ren W and Cao Y 2011 Distributed Coordination of Multi-agent Networks: Emergent problems, Models, and Issues (Berlin: Springer)
4. Nijmeijer H and Mareels I M 1997 IEEE Trans. Circuits Syst. I 44 882-90
5. Arenas A, Díaz-Guilera A, Kurths J, Moreno Y and Zhou C 2008 Phys. Rep. 469 93-153
6. Newman M 2010 Networks: An Introduction (Oxford: Oxford University Press)
7. Vicsek T, Czirók A, Ben-Jacob E, Cohen I and Shochet O 1995 Phys. Rev. Lett. 75 1226
8. Jadbabaie A, Lin J and Morse A S 2003 IEEE Trans. Autom. Control 48 988-1001
9. Olfati-Saber R 2006 IEEE Trans. Autom. Control 51 401-20
10. Szell M, Lambiotte R and Thurner S 2010 Proc. Natl Acad. Sci. 107 13636-41
11. Buldyrev S V, Parshani R, Paul G, Stanley H E and Havlin S 2010 Nature 464 1025-8
12. Morris R G and Barthelemy M 2012 Phys. Rev. Lett. 109 128703
13. de Domenico M, Solé-Ribalta A, Cozzo E, Kivelä M, Moreno Y, Porter M A, Gómez S and Arenas A 2013 Phys. Rev. X 3 041022
14. Gómez S, Díaz-Guilera A, Gómez-Gardeñes J, Perez-Vicente C J, Moreno Y and Arenas A 2013 Phys. Rev. Lett. 110 028701
15. de Domenico M, Solé-Ribalta A, Gómez S and Arenas A 2014 Proc. Natl Acad. Sci. 111 8351-6
16. Meyer C D 2000 Matrix Analysis and Applied Linear Algebra vol 2 (Philadelphia, PA: SIAM)
17. Smilkov D and Kocarev L 2011 Phys. Rev. E 84 016104
18. Lambiotte R, Sinatra R, Delvenne J C, Evans T, Barahona M and Latora V 2011 Phys. Rev. E 84 017102
19. Radicchi F and Arenas A 2013 Nat. Phys. 9 717-20