메뉴 건너뛰기




Volumn 58, Issue 1, 2013, Pages 60-73

Structural controllability and observability of linear systems over finite fields with applications to multi-agent systems

Author keywords

Distributed consensus; distributed function calculation; finite fields; linear system theory; multi agent systems; quantized control; structural controllability; structural observability; structured system theory

Indexed keywords

DISTRIBUTED CONSENSUS; DISTRIBUTED FUNCTION; FINITE FIELDS; MULTI AGENT SYSTEM (MAS); QUANTIZED CONTROL; STRUCTURAL CONTROLLABILITY; STRUCTURED SYSTEMS;

EID: 84871735046     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2012.2204155     Document Type: Article
Times cited : (101)

References (46)
  • 1
    • 84872057266 scopus 로고    scopus 로고
    • Distributed control of robotic networks, ser
    • Princeton, NJ: Princeton University Press
    • F. Bullo, J. Cortés, and S. Martínez, Distributed Control of Robotic Networks, ser. Applied Mathematics Series. Princeton, NJ: Princeton University Press, 2009.
    • (2009) Applied Mathematics Series
    • Bullo, F.1    Cortés, J.2    Martínez, S.3
  • 2
    • 64149119332 scopus 로고    scopus 로고
    • Consensus and cooperation in networked multi-agent systems
    • Jan
    • R. Olfati-Saber, J. A. Fax, and R. M. Murray, "Consensus and cooperation in networked multi-agent systems," Proc. IEEE, vol. 95, no. 1, pp. 215-233, Jan. 2007.
    • (2007) Proc IEEE , vol.95 , Issue.1 , pp. 215-233
    • Olfati-Saber, R.1    Fax, J.A.2    Murray, R.M.3
  • 3
    • 0004215089 scopus 로고    scopus 로고
    • Burlington MA: Morgan Kaufmann Publishers Inc
    • N. A. Lynch, Distributed Algorithms. Burlington, MA: Morgan Kaufmann Publishers, Inc., 1996.
    • (1996) Distributed Algorithms
    • Lynch, N.A.1
  • 4
    • 0242334165 scopus 로고    scopus 로고
    • An algebraic approach to network coding
    • Oct
    • R. Koetter and M. Médard, "An algebraic approach to network coding," IEEE/ACM Trans. Networking, vol. 11, no. 5, pp. 782-795, Oct. 2003.
    • (2003) IEEE/ACM Trans. Networking , vol.11 , Issue.5 , pp. 782-795
    • Koetter, R.1    Médard, M.2
  • 5
    • 33646906176 scopus 로고    scopus 로고
    • Toward a theory of in-network computation in wireless sensor networks
    • DOI 10.1109/MCOM.2006.1632656
    • A. Giridhar and P. R. Kumar, "Toward a theory of in-network computation in wireless sensor networks," IEEE Commun. Mag., vol. 44, no. 4, pp. 98-107, Apr. 2006. (Pubitemid 43792675)
    • (2006) IEEE Communications Magazine , vol.44 , Issue.4 , pp. 98-107
    • Giridhar, A.1    Kumar, P.R.2
  • 6
    • 34250116432 scopus 로고
    • Two-dimensional cellular automata
    • Mar
    • N. H. Packard and S. Wolfram, "Two-dimensional cellular automata," J. Stat. Phys., vol. 38, no. 5-6, pp. 901-946, Mar. 1985.
    • (1985) J. Stat. Phys , vol.38 , Issue.5-6 , pp. 901-946
    • Packard, N.H.1    Wolfram, S.2
  • 7
    • 14244266091 scopus 로고    scopus 로고
    • On the controllability of nearest neighbor interconnections
    • WeC05.5, 2004 43rd IEEE Conference on Decision and Control (CDC)
    • H. Tanner, "On the controllability of nearest neighbor interconnections," in Proc. 43rd IEEE Conf. Decision Control, 2004, pp. 2467-2472. (Pubitemid 40287154)
    • (2004) Proceedings of the IEEE Conference on Decision and Control , vol.3 , pp. 2467-2472
    • Tanner, H.G.1
  • 8
    • 34047240864 scopus 로고    scopus 로고
    • On the controlled agreement problem
    • 1656409, Proceedings of the 2006 American Control Conference
    • A. Rahmani and M. Mesbahi, "On the controlled agreement problem," in Proc. Amer. Control Conf., 2006, pp. 1376-1381. (Pubitemid 46531006)
    • (2006) Proceedings of the American Control Conference , vol.2006 , pp. 1376-1381
    • Rahmani, A.1    Mesbahi, M.2
  • 9
    • 62949201760 scopus 로고    scopus 로고
    • Controllability decompositions of networked systems through quotient graphs
    • S. Martini, M. Egerstedt, and A. Bicchi, "Controllability decompositions of networked systems through quotient graphs," in Proc. 47th IEEE Conf. Decision Control, 2008, pp. 5244-5249.
    • (2008) Proc. 47th IEEE Conf. Decision Control , pp. 5244-5249
    • Martini, S.1    Egerstedt, M.2    Bicchi, A.3
  • 11
    • 60349092443 scopus 로고    scopus 로고
    • Controllability of multi-agent systems from a graph-theoretic perspective
    • Feb
    • A. Rahmani, M. Ji, M. Mesbahi, and M. Egerstedt, "Controllability of multi-agent systems from a graph-theoretic perspective," SIAM J. Control Optim., vol. 48, no. 1, pp. 162-186, Feb. 2009.
    • (2009) SIAM J. Control Optim , vol.48 , Issue.1 , pp. 162-186
    • Rahmani, A.1    Ji, M.2    Mesbahi, M.3    Egerstedt, M.4
  • 12
    • 34249005184 scopus 로고    scopus 로고
    • Quantized consensus
    • DOI 10.1016/j.automatica.2007.01.002, PII S0005109807001045
    • A. Kashyap, T. Başar, and R. Srikant, "Quantized consensus," Automatica, vol. 43, no. 7, pp. 1192-1203, Jul. 2007. (Pubitemid 46802442)
    • (2007) Automatica , vol.43 , Issue.7 , pp. 1192-1203
    • Kashyap, A.1    Basar, T.2    Srikant, R.3
  • 13
    • 3042682369 scopus 로고    scopus 로고
    • Coordinated collective motion of groups of autonomous mobile robots: Analysis of Vicsek's model
    • Jun
    • A. Savkin, "Coordinated collective motion of groups of autonomous mobile robots: Analysis of Vicsek's model," IEEE Trans. Autom. Control, vol. 49, no. 6, pp. 981-983, Jun. 2004.
    • (2004) IEEE Trans. Autom. Control , vol.49 , Issue.6 , pp. 981-983
    • Savkin, A.1
  • 14
    • 53149154509 scopus 로고    scopus 로고
    • Distributed average consensus with dithered quantization
    • Oct
    • T. Aysal, M. Coates, and M. Rabbat, "Distributed average consensus with dithered quantization," IEEE Trans. Signal Processing, vol. 56, no. 10, pp. 4905-4918, Oct. 2008.
    • (2008) IEEE Trans. Signal Processing , vol.56 , Issue.10 , pp. 4905-4918
    • Aysal, T.1    Coates, M.2    Rabbat, M.3
  • 17
    • 77953301531 scopus 로고    scopus 로고
    • Convergence speed of binary interval consensus
    • M. Draief and M. Vojnovic, "Convergence speed of binary interval consensus," in Proc. IEEE Conf. Comp. Commun., 2010, pp. 1-9.
    • (2010) Proc IEEE Conf. Comp. Commun , pp. 1-9
    • Draief, M.1    Vojnovic, M.2
  • 22
    • 33745154114 scopus 로고    scopus 로고
    • Algebraic gossip: A network coding approach to optimal multiple rumor mongering
    • DOI 10.1109/TIT.2006.874532
    • S. Deb, M. Médard, and C. Choute, "Algebraic gossip: A network coding approach to optimal multiple rumor mongering," IEEE Trans. Inform. Theory, vol. 52, no. 6, pp. 2486-2507, Jun. 2006. (Pubitemid 43898905)
    • (2006) IEEE Transactions on Information Theory , vol.52 , Issue.6 , pp. 2486-2507
    • Deb, S.1    Medard, M.2    Choute, C.3
  • 23
    • 39049112434 scopus 로고    scopus 로고
    • Information dissemination via network coding
    • DOI 10.1109/ISIT.2006.261654, 4036267, Proceedings - 2006 IEEE International Symposium on Information Theory, ISIT 2006
    • D. Mosk-Aoyama and D. Shah, "Information dissemination via network coding," in Proc. 2006 IEEE Int. Symp. Inform. Theory, 2006, pp. 1748-1752. (Pubitemid 351244398)
    • (2006) IEEE International Symposium on Information Theory - Proceedings , pp. 1748-1752
    • Mosk-Aoyama, D.1    Shah, D.2
  • 24
    • 43349106879 scopus 로고    scopus 로고
    • Distributed function calculation and consensus using linear iterative strategies
    • DOI 10.1109/JSAC.2008.080507, 4497790
    • S. Sundaram and C. N. Hadjicostis, "Distributed function calculation and consensus using linear iterative strategies," IEEE J. Selected Areas Commun., vol. 26, no. 4, pp. 650-660, May 2008. (Pubitemid 351658780)
    • (2008) IEEE Journal on Selected Areas in Communications , vol.26 , Issue.4 , pp. 650-660
    • Sundaram, S.1    Hadjicostis, C.2
  • 25
    • 79960124958 scopus 로고    scopus 로고
    • Distributed function calculation via linear iterative strategies in the presence of malicious agents
    • Jul.
    • S. Sundaram and C. N. Hadjicostis, "Distributed function calculation via linear iterative strategies in the presence of malicious agents," IEEE Trans. Autom. Control, vol. 56, no. 7, pp. 1495-1508, Jul. 2011.
    • (2011) IEEE Trans. Autom. Control , vol.56 , Issue.7 , pp. 1495-1508
    • Sundaram, S.1    Hadjicostis, C.N.2
  • 26
    • 0038516887 scopus 로고    scopus 로고
    • Generic properties and control of linear structured systems: A survey
    • Jul
    • J.-M. Dion, C. Commault, and J. van der Woude, "Generic properties and control of linear structured systems: A survey," Automatica, vol. 39, no. 7, pp. 1125-1144, Jul. 2003.
    • (2003) Automatica , vol.39 , Issue.7 , pp. 1125-1144
    • Dion, J.-M.1    Commault, C.2    Woude Der J.Van3
  • 31
    • 84938011883 scopus 로고
    • Inverses of linear sequential circuits
    • Apr
    • J. L. Massey and M. K. Sain, "Inverses of linear sequential circuits," IEEE Trans. Computers, vol. C-17, no. 4, pp. 330-337, Apr. 1968.
    • (1968) IEEE Trans. Computers , vol.C-17 , Issue.4 , pp. 330-337
    • Massey, J.L.1    Sain, M.K.2
  • 32
    • 0014869779 scopus 로고
    • Convolutional codes I: Algebraic structure
    • Nov
    • G. Forney, "Convolutional codes I: Algebraic structure," IEEE Trans. Inform. Theory, vol. IT-16, no. 6, pp. 720-738, Nov. 1970.
    • (1970) IEEE Trans. Inform. Theory , vol.IT-16 , Issue.6 , pp. 720-738
    • Forney, G.1
  • 33
    • 45349112512 scopus 로고
    • On the number of controllable linear systems over a finite field
    • M. Kociecki and K. M. Przyluski, "On the number of controllable linear systems over a finite field," Linear Algebra Appl., vol. 122-124, pp. 115-122, 1989.
    • (1989) Linear Algebra Appl , vol.122-124 , pp. 115-122
    • Kociecki, M.1    Przyluski, K.M.2
  • 34
    • 84949114149 scopus 로고    scopus 로고
    • Aspects on analysis and synthesis of linear discrete systems over the finite field GF(q)
    • [CD ROM]
    • J. Reger and K. Schmidt, "Aspects on analysis and synthesis of linear discrete systems over the finite field GF(q)," in Proc. Eur. Control Conf., 2003. [CD ROM].
    • (2003) Proc. Eur. Control Conf
    • Reger, J.1    Schmidt, K.2
  • 36
    • 0002071573 scopus 로고    scopus 로고
    • Connections between linear systems and convolutional codes
    • B. Marcus and J. Rosenthal, Eds. Berlin, Germany: Springer- Verlag
    • J. Rosenthal, "Connections between linear systems and convolutional codes," in Codes, Systems and Graphical Models, B. Marcus and J. Rosenthal, Eds. Berlin, Germany: Springer-Verlag, 2001, vol. 123, pp. 39-66.
    • (2001) Codes, Systems and Graphical Models , vol.123 , pp. 39-66
    • Rosenthal, J.1
  • 37
    • 0347947000 scopus 로고    scopus 로고
    • Non-concurrent error detection and correction in fault-tolerant linear finite-state machines
    • Dec
    • C. N. Hadjicostis, "Non-concurrent error detection and correction in fault-tolerant linear finite-state machines," IEEE Trans. Autom. Control, vol. 48, no. 12, pp. 2133-2140, Dec. 2003.
    • (2003) IEEE Trans. Autom. Control , vol.48 , Issue.12 , pp. 2133-2140
    • Hadjicostis, C.N.1
  • 38
    • 67650099386 scopus 로고    scopus 로고
    • Finite automata as time-inv linear systems: Observability, reachability and more
    • Hybrid Systems: Computation and Control R. Majumdar and P. Tabuada, Eds. Berlin, Germany: Springer- Verlag
    • R. Grosu, "Finite automata as time-inv linear systems: Observability, reachability and more," in Hybrid Systems: Computation and Control, R. Majumdar and P. Tabuada, Eds. Berlin, Germany: Springer-Verlag, 2009, vol. LNCS 5469, pp. 194-208.
    • (2009) LNCS , vol.5469 , pp. 194-208
    • Grosu, R.1
  • 43


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.