메뉴 건너뛰기




Volumn 372, Issue 2028, 2014, Pages

Boltzmann-type control of opinion consensus through leaders

Author keywords

Boltzmann equation; Collective behaviour; Consensus dynamic; Multi agent systems; Opinion leader; Optimal control

Indexed keywords

MULTI AGENT SYSTEMS;

EID: 84907882516     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2014.0138     Document Type: Article
Times cited : (157)

References (40)
  • 2
    • 84902192859 scopus 로고    scopus 로고
    • Mean-field games with nonlinear mobilities in pedestrian dynamics
    • Burger M, Di Francesco M, Markowich PA, Wolfram M-T. 2014 Mean-field games with nonlinear mobilities in pedestrian dynamics. DCDS-B 19, 1311-1333.
    • (2014) DCDS-B , vol.19 , pp. 1311-1333
    • Burger, M.1    Di Francesco, M.2    Markowich, P.A.3    Wolfram, M.-T.4
  • 3
    • 84898548072 scopus 로고    scopus 로고
    • Large-scale dynamics of mean-field games driven by local Nash equilibria
    • Degond P, Liu J-G, Ringhofer C. 2014 Large-scale dynamics of mean-field games driven by local Nash equilibria. J. Nonlinear Sci. 24, 93-115. (doi:10.1007/s00332-013-9185-2)
    • (2014) J. Nonlinear Sci. , vol.24 , pp. 93-115
    • Degond, P.1    Liu, J.-G.2    Ringhofer, C.3
  • 5
    • 34047127341 scopus 로고    scopus 로고
    • Mean field games
    • Lasry J-M, Lions P-L. 2007 Mean field games. Jpn J. Math. 2, 229-260. (doi:10.1007/s11537-007-0657-8)
    • (2007) Jpn J. Math. , vol.2 , pp. 229-260
    • Lasry, J.-M.1    Lions, P.-L.2
  • 6
    • 84872606434 scopus 로고    scopus 로고
    • Modeling of self-organized systems interacting with a few individuals: From microscopic to macroscopic dynamics
    • Albi G, Pareschi L. 2013 Modeling of self-organized systems interacting with a few individuals: from microscopic to macroscopic dynamics. Appl. Math. Lett. 26, 397-401. (doi:10.1016/j.aml.2012.10.011)
    • (2013) Appl. Math. Lett. , vol.26 , pp. 397-401
    • Albi, G.1    Pareschi, L.2
  • 7
    • 14844328026 scopus 로고    scopus 로고
    • Opinion dynamics, rise and fall of political parties
    • Ben-Naim E. 2005 Opinion dynamics, rise and fall of political parties. Europhys. Lett. 69, 671. (doi:10.1209/epl/i2004-10421-1)
    • (2005) Europhys. Lett. , vol.69 , pp. 671
    • Ben-Naim, E.1
  • 8
    • 85067737287 scopus 로고    scopus 로고
    • Modeling and control through leadership of a refined flocking system
    • In press
    • Wongkaew S, Borzí A. In press. Modeling and control through leadership of a refined flocking system. Math. Models Methods Appl. Sci.
    • Math. Models Methods Appl. Sci.
    • Wongkaew, S.1    Borzí, A.2
  • 9
    • 79955908614 scopus 로고    scopus 로고
    • Multiscale modeling of granular flows with application to crowd dynamics
    • Cristiani E, Piccoli B, Tosin A. 2011 Multiscale modeling of granular flows with application to crowd dynamics. SIAM Multiscale Model. Simul. 9, 155-182. (doi:10.1137/100797515)
    • (2011) SIAM Multiscale Model. Simul. , vol.9 , pp. 155-182
    • Cristiani, E.1    Piccoli, B.2    Tosin, A.3
  • 10
    • 73149092039 scopus 로고    scopus 로고
    • Boltzmann and Fokker-Planck equations modelling opinion formation in the presence of strong leaders
    • Düring B, Markowich P, Pietschmann J-F, Wolfram M-T. 2009 Boltzmann and Fokker-Planck equations modelling opinion formation in the presence of strong leaders. Proc. R. Soc. A 465, 3687-3708. (doi:10.1098/rspa.2009.0239)
    • (2009) Proc. R. Soc. A , vol.465 , pp. 3687-3708
    • Düring, B.1    Markowich, P.2    Pietschmann, J.-F.3    Wolfram, M.-T.4
  • 11
    • 79959569810 scopus 로고    scopus 로고
    • Feedback controls for continuous priority models in supply chain management
    • HertyM. 2011 Feedback controls for continuous prioritymodels in supply chain management.Comput. Methods Appl. Math. 11, 206-213. (doi:10.2478/cmam-2011-0011)
    • (2011) Comput. Methods Appl. Math. , vol.11 , pp. 206-213
    • Herty, M.1
  • 12
    • 28844457908 scopus 로고    scopus 로고
    • Self-organized control of irregular or perturbed network traffic
    • (eds C Deissenberg, R Hartl), Advances in Computational Management Science, New York, NY: Springer
    • Helbing D, Lämmer S, Lebacque J-P. 2005 Self-organized control of irregular or perturbed network traffic. In Optimal control and dynamic games (eds C Deissenberg, R Hartl), pp. 239-274. Advances in Computational Management Science, vol. 7. New York, NY: Springer.
    • (2005) Optimal Control and Dynamic Games , vol.7 , pp. 239-274
    • Helbing, D.1    Lämmer, S.2    Lebacque, J.-P.3
  • 13
    • 0033545290 scopus 로고    scopus 로고
    • Scaling and criticality in a stochastic multi-agent model of a financial market
    • Lux T, Marchesi M. 1999 Scaling and criticality in a stochastic multi-agent model of a financial market. Nature 397, 498-500. (doi:10.1038/17290)
    • (1999) Nature , vol.397 , pp. 498-500
    • Lux, T.1    Marchesi, M.2
  • 14
    • 80455160066 scopus 로고    scopus 로고
    • Kinetic models for socio-economic dynamics of speculative markets
    • Maldarella D, Pareschi L. 2012 Kinetic models for socio-economic dynamics of speculative markets. Physica A 391, 715-730. (doi:10.1016/j.physa.2011.08.013)
    • (2012) Physica A , vol.391 , pp. 715-730
    • Maldarella, D.1    Pareschi, L.2
  • 15
    • 0041509263 scopus 로고    scopus 로고
    • Bifurcations and patterns in compromise processes
    • Ben-Naim E, Krapivsky PL, Redner S. 2003 Bifurcations and patterns in compromise processes. Physica D 183, 190-204. (doi:10.1016/S0167-2789(03)00171-4)
    • (2003) Physica D , vol.183 , pp. 190-204
    • Ben-Naim, E.1    Krapivsky, P.L.2    Redner, S.3
  • 16
    • 67650100840 scopus 로고    scopus 로고
    • A kinetic approach to the study of opinion formation
    • Boudin L, Salvarani F. 2009 A kinetic approach to the study of opinion formation. ESAIM: Math. Mod. Num. Anal. 43, 507-522. (doi:10.1051/m2an/2009004)
    • (2009) ESAIM: Math. Mod. Num. Anal. , vol.43 , pp. 507-522
    • Boudin, L.1    Salvarani, F.2
  • 17
    • 84925976441 scopus 로고
    • Sociophysics: A new approach of sociological collective behaviour
    • Galam S, Gefen Y, Shapir Y. 1982 Sociophysics: a new approach of sociological collective behaviour. J. Math. Sociol. 9, 1-13. (doi:10.1080/0022250X.1982.9989929)
    • (1982) J. Math. Sociol. , vol.9 , pp. 1-13
    • Galam, S.1    Gefen, Y.2    Shapir, Y.3
  • 19
    • 71849095800 scopus 로고    scopus 로고
    • Opinion evolution in closed community
    • Sznajd-Weron K, Sznajd J. 2000 Opinion evolution in closed community. Int. J. Mod. Phys. C 11, 1157-1165. (doi:10.1142/S0129183100000936)
    • (2000) Int. J. Mod. Phys. C , vol.11 , pp. 1157-1165
    • Sznajd-Weron, K.1    Sznajd, J.2
  • 20
    • 34547461832 scopus 로고    scopus 로고
    • Kinetic models of opinion formation
    • Toscani G. 2006 Kinetic models of opinion formation. Commun. Math. Sci. 4, 481-496. (doi:10.4310/CMS.2006.v4.n3.a1)
    • (2006) Commun. Math. Sci. , vol.4 , pp. 481-496
    • Toscani, G.1
  • 21
    • 0011697225 scopus 로고    scopus 로고
    • Opinion dynamics and bounded confidence, models, analysis and simulation
    • Hegselmann R, Krause U. 2002 Opinion dynamics and bounded confidence, models, analysis and simulation. J. Artif. Soc. Soc. Simul. 5, 2.
    • (2002) J. Artif. Soc. Soc. Simul. , vol.5 , pp. 2
    • Hegselmann, R.1    Krause, U.2
  • 23
    • 78649334392 scopus 로고    scopus 로고
    • Fluid dynamic description of flocking via Povzner-Boltzmann equation
    • Fornasier M, Haskovec J, Toscani G. 2011 Fluid dynamic description of flocking via Povzner-Boltzmann equation. Physica D 240, 21-31. (doi:10.1016/j.physd.2010.08.003)
    • (2011) Physica D , vol.240 , pp. 21-31
    • Fornasier, M.1    Haskovec, J.2    Toscani, G.3
  • 24
    • 37749019305 scopus 로고    scopus 로고
    • Dynamic behaviour of a social model for opinion formation
    • Bordogna CM, Albano EV. 2007 Dynamic behaviour of a social model for opinion formation.Phys. Rev. E 76, 061125. (doi:10.1103/PhysRevE.76.061125)
    • (2007) Phys. Rev. E , vol.76 , pp. 061125
    • Bordogna, C.M.1    Albano, E.V.2
  • 25
    • 0242329868 scopus 로고    scopus 로고
    • Constrained opinion dynamics: Freezing and slow evolution
    • Vazquez F, Krapivsky PL, Redner S. 2003 Constrained opinion dynamics: freezing and slow evolution. J. Phys. A Math. Gen. 36, L61. (doi:10.1088/0305-4470/36/3/103)
    • (2003) J. Phys. A Math. Gen. , vol.36 , pp. L61
    • Vazquez, F.1    Krapivsky, P.L.2    Redner, S.3
  • 26
    • 18844458565 scopus 로고    scopus 로고
    • Persuasion dynamics
    • Weisbuch G, Deffuant G, Amblard F. 2005 Persuasion dynamics. Physica A 353, 555-575. (doi:10.1016/j.physa.2005.01.054)
    • (2005) Physica A , vol.353 , pp. 555-575
    • Weisbuch, G.1    Deffuant, G.2    Amblard, F.3
  • 27
    • 84865699745 scopus 로고    scopus 로고
    • Confinement strategies in a model for the interaction between individuals and a continuum
    • Colombo RM, Pogodaev N. 2012 Confinement strategies in a model for the interaction between individuals and a continuum. SIAM J. Appl. Dyn. Syst. 11, 741-770. (doi:10.1137/110854321)
    • (2012) SIAM J. Appl. Dyn. Syst. , vol.11 , pp. 741-770
    • Colombo, R.M.1    Pogodaev, N.2
  • 28
    • 85067730360 scopus 로고    scopus 로고
    • Kinetic description of optimal control problems in consensus modeling
    • In press
    • Albi G, Herty M, Pareschi L. In press. Kinetic description of optimal control problems in consensus modeling. Comm. Math. Sci.
    • Comm. Math. Sci.
    • Albi, G.1    Herty, M.2    Pareschi, L.3
  • 29
    • 0025462720 scopus 로고
    • Receding horizon control of nonlinear systems
    • Mayne DQ, Michalska H. 1990 Receding horizon control of nonlinear systems. IEEE Trans.Automat. Control 35, 814-824. (doi:10.1109/9.57020)
    • (1990) IEEE Trans. Automat. Control , vol.35 , pp. 814-824
    • Mayne, D.Q.1    Michalska, H.2
  • 31
    • 0020798744 scopus 로고
    • Instantaneous control of Brownian motion
    • Harrison JM, Taksar MI. 1983 Instantaneous control of Brownian motion. Math. Oper. Res. 8, 439-453. (doi:10.1287/moor.8.3.439)
    • (1983) Math. Oper. Res. , vol.8 , pp. 439-453
    • Harrison, J.M.1    Taksar, M.I.2
  • 32
    • 0033207930 scopus 로고    scopus 로고
    • Instantaneous control of backward-facing step flows
    • Choi H, Hinze M, Kunisch K. 1999 Instantaneous control of backward-facing step flows. Appl. Numer. Math. 31, 133-158. (doi:10.1016/S0168-9274(98)00131-7)
    • (1999) Appl. Numer. Math. , vol.31 , pp. 133-158
    • Choi, H.1    Hinze, M.2    Kunisch, K.3
  • 36
    • 84861355822 scopus 로고    scopus 로고
    • The grazing collision limit of the inelastic Kac model around a Lévy-type equilibrium
    • Furioli G, Pulvirenti A, Terraneo E, Toscani G. 2012 The grazing collision limit of the inelastic Kac model around a Lévy-type equilibrium. SIAM J. Math. Anal. 44, 827-850. (doi:10.1137/110836572)
    • (2012) SIAM J. Math. Anal. , vol.44 , pp. 827-850
    • Furioli, G.1    Pulvirenti, A.2    Terraneo, E.3    Toscani, G.4
  • 37
    • 0032338727 scopus 로고    scopus 로고
    • On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations
    • Villani C. 1998 On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations. Arch. Rational Mech. Anal. 143, 273-307. (doi:10.1007/s002050050106)
    • (1998) Arch. Rational Mech. Anal. , vol.143 , pp. 273-307
    • Villani, C.1
  • 38
    • 84876379181 scopus 로고    scopus 로고
    • Binary interaction algorithms for the simulation of flocking and swarming dynamics
    • Albi G, Pareschi L. 2013 Binary interaction algorithms for the simulation of flocking and swarming dynamics. SIAM Multiscale Model. Simul. 11, 1-29. (doi:10.1137/120868748)
    • (2013) SIAM Multiscale Model. Simul. , vol.11 , pp. 1-29
    • Albi, G.1    Pareschi, L.2
  • 40
    • 0002860654 scopus 로고
    • Stability and competition
    • Hotelling H. 1929 Stability and competition. Econ. J. 39, 41-57. (doi:10.2307/2224214)
    • (1929) Econ. J. , vol.39 , pp. 41-57
    • Hotelling, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.