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Volumn 53, Issue 7, 2008, Pages 1643-1660

Asymptotically optimal decentralized control for large population stochastic multiagent systems

Author keywords

Asymptotic Nash equilibrium; Decentralized control; Multiagent systems; Stochastic cost function; Stochastic differential game

Indexed keywords

AGENTS; AGGLOMERATION; ASYMPTOTIC ANALYSIS; ASYMPTOTIC STABILITY; AUTOMATION; CONTROL SYSTEMS; CONTROL THEORY; COST FUNCTIONS; CYBERNETICS; DECENTRALIZED CONTROL; DECISION THEORY; ELECTRIC SHIP EQUIPMENT; GAME THEORY; POPULATION STATISTICS; PROBABILITY; STOCHASTIC PROGRAMMING; SYSTEM STABILITY; SYSTEM THEORY;

EID: 52249090671     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2008.929370     Document Type: Article
Times cited : (213)

References (45)
  • 1
    • 2942686425 scopus 로고    scopus 로고
    • Sensor networks: Evolution, opportunities, and challenges
    • C. Y. Chong, S. P. Kumar, and B. A. Hamilton, "Sensor networks: Evolution, opportunities, and challenges," Proc. IEEE, vol. 91, no. 8, pp. 1247-1256, 2003.
    • (2003) Proc. IEEE , vol.91 , Issue.8 , pp. 1247-1256
    • Chong, C.Y.1    Kumar, S.P.2    Hamilton, B.A.3
  • 2
    • 0033620562 scopus 로고    scopus 로고
    • Social potential fields: A distributed behavioral control for autonomous robots
    • J. H. Reif and H. Y. Wang, "Social potential fields: A distributed behavioral control for autonomous robots," Robotics Autonomous Syst. vol. 27, pp. 171-194, 1999.
    • (1999) Robotics Autonomous Syst , vol.27 , pp. 171-194
    • Reif, J.H.1    Wang, H.Y.2
  • 3
    • 0000754593 scopus 로고
    • Modeling social animal aggregations
    • Frontiers in Theoretical Biology, New York: Springer-Verlag
    • D. Grönbaum and A. Okubo, "Modeling social animal aggregations," in Frontiers in Theoretical Biology.. New York: Springer-Verlag, 1994, vol. 100, pp. 296-325, Lecture Notes in Biomathematics.
    • (1994) Lecture Notes in Biomathematics , vol.100 , pp. 296-325
    • Grönbaum, D.1    Okubo, A.2
  • 4
    • 0036608987 scopus 로고    scopus 로고
    • Biomimicry of bacterial foraging: For distributed optimization and control
    • Jun
    • K. M. Passino, "Biomimicry of bacterial foraging: For distributed optimization and control," IEEE Control Syst. Mag., vol. 22, no. 3, pp. 52-67, Jun. 2002.
    • (2002) IEEE Control Syst. Mag , vol.22 , Issue.3 , pp. 52-67
    • Passino, K.M.1
  • 5
    • 0034727079 scopus 로고    scopus 로고
    • Simulating dynamic features of escape panic
    • D. Helbing, I. Farkas, and T. Vicsek, "Simulating dynamic features of escape panic," Nature, vol. 407, no. 6803, pp. 487-490, 2000.
    • (2000) Nature , vol.407 , Issue.6803 , pp. 487-490
    • Helbing, D.1    Farkas, I.2    Vicsek, T.3
  • 7
    • 0037396394 scopus 로고    scopus 로고
    • Stability analysis of swarms
    • Apr
    • V. Gazi and K. M. Passino, "Stability analysis of swarms," IEEE Trans. Autom. Control, vol. 48, no. 4, pp. 692-596, Apr. 2003.
    • (2003) IEEE Trans. Autom. Control , vol.48 , Issue.4 , pp. 692-596
    • Gazi, V.1    Passino, K.M.2
  • 8
    • 0742269302 scopus 로고    scopus 로고
    • Stable social foraging swarms in a noisy enviroment
    • Jan
    • Y. Liu and K. M. Passino, "Stable social foraging swarms in a noisy enviroment," IEEE Trans. Autom. Control, vol. 49, no. 1, pp. 30-44, Jan. 2004.
    • (2004) IEEE Trans. Autom. Control , vol.49 , Issue.1 , pp. 30-44
    • Liu, Y.1    Passino, K.M.2
  • 9
    • 4644244041 scopus 로고    scopus 로고
    • Consensus problem in networks of agents with switching topology and time-delays
    • Sep
    • R. Olfati-Saber and R. M. Murray, "Consensus problem 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.M.2
  • 10
    • 12944293796 scopus 로고    scopus 로고
    • Stability of multiagent systems with time-dependent commmunication links
    • Feb
    • L. Moreau, "Stability of multiagent systems with time-dependent commmunication links," IEEE Trans. Autom. Control, vol. 50, no. 2, pp. 169-182, Feb. 2005.
    • (2005) IEEE Trans. Autom. Control , vol.50 , Issue.2 , pp. 169-182
    • Moreau, L.1
  • 11
    • 4644317383 scopus 로고    scopus 로고
    • Information flow and cooperative control of vehicle formations
    • Sep
    • J. A. Fax and R. M. Murray, "Information flow and cooperative control of vehicle formations," IEEE Trans. Autom. Control, vol. 49, no. 9, pp. 1465-1476, Sep. 2004.
    • (2004) IEEE Trans. Autom. Control , vol.49 , Issue.9 , pp. 1465-1476
    • Fax, J.A.1    Murray, R.M.2
  • 12
    • 33644997478 scopus 로고    scopus 로고
    • Flocking for multi-agent dynamic systems: Algorithms and theory
    • Mar
    • R. Olfati-saber, "Flocking for multi-agent dynamic systems: Algorithms and theory," IEEE Trans. Autom. Control, vol. 51, no. 3, pp. 401-420, Mar. 2006.
    • (2006) IEEE Trans. Autom. Control , vol.51 , Issue.3 , pp. 401-420
    • Olfati-saber, R.1
  • 13
    • 34248997691 scopus 로고    scopus 로고
    • Connectivity and sychronization of multi-agent systems
    • Harbin, China, Aug
    • Z. Liu and L. Guo, "Connectivity and sychronization of multi-agent systems," in Proc. 25th Chinese Control Conf., Harbin, China, Aug. 2006, pp. 373-378.
    • (2006) Proc. 25th Chinese Control Conf , pp. 373-378
    • Liu, Z.1    Guo, L.2
  • 14
    • 39449116625 scopus 로고    scopus 로고
    • Linear quadratic decentralized dynamic games for large population discrete-time multi-agent systems
    • C. Q. Ma, T. Li, and J. F. Zhang, "Linear quadratic decentralized dynamic games for large population discrete-time multi-agent systems," J. Syst. Sci. Math. Sci., vol. 27, no. 3, pp. 464-480, 2007.
    • (2007) J. Syst. Sci. Math. Sci , vol.27 , Issue.3 , pp. 464-480
    • Ma, C.Q.1    Li, T.2    Zhang, J.F.3
  • 15
    • 39449110799 scopus 로고    scopus 로고
    • Decentralized tracking-type games for multi-agent systems with coupled ARX models: Asymptotic Nash equilibria
    • T. Li and J. F. Zhang, "Decentralized tracking-type games for multi-agent systems with coupled ARX models: Asymptotic Nash equilibria," Automatica, vol. 44, no. 3, pp. 713-725, 2008.
    • (2008) Automatica , vol.44 , Issue.3 , pp. 713-725
    • Li, T.1    Zhang, J.F.2
  • 17
    • 84976754886 scopus 로고
    • On the existence of equilibria in noncooperative optimal flow control
    • Y. A. Korilis and A. Lazar, "On the existence of equilibria in noncooperative optimal flow control," J. ACM, vol. 42, no. 3, pp. 584-613, 1995.
    • (1995) J. ACM , vol.42 , Issue.3 , pp. 584-613
    • Korilis, Y.A.1    Lazar, A.2
  • 18
    • 0032115196 scopus 로고    scopus 로고
    • Multi-user rate-based flow control
    • Jul
    • E. Altman and T. Basar, "Multi-user rate-based flow control," IEEE Trans. Commun., vol. 46, no. 7, pp. 940-949, Jul. 1998.
    • (1998) IEEE Trans. Commun , vol.46 , Issue.7 , pp. 940-949
    • Altman, E.1    Basar, T.2
  • 19
    • 0036600717 scopus 로고    scopus 로고
    • Nash equilibria for combined flow control and routing in networks: Asymptotic behavior for a large number of users
    • Jun
    • E. Altman, T. Basar, and R. Srikant, "Nash equilibria for combined flow control and routing in networks: Asymptotic behavior for a large number of users," IEEE Trans. Autom. Control, vol. 47, no. 6, pp. 917-930, Jun. 2002.
    • (2002) IEEE Trans. Autom. Control , vol.47 , Issue.6 , pp. 917-930
    • Altman, E.1    Basar, T.2    Srikant, R.3
  • 20
    • 0035400337 scopus 로고    scopus 로고
    • Adaptive policy for two finite Markov chains zero-sum stochastic game with unknown transition matrices and average payoffs
    • K. Najim, A. S. Poznyak, and E. Gomez, "Adaptive policy for two finite Markov chains zero-sum stochastic game with unknown transition matrices and average payoffs," Automatica, vol. 37, no. 7, pp. 1007-1018, 2001.
    • (2001) Automatica , vol.37 , Issue.7 , pp. 1007-1018
    • Najim, K.1    Poznyak, A.S.2    Gomez, E.3
  • 21
    • 0036894103 scopus 로고    scopus 로고
    • Learning through reinforcement for N person repeated contrained games
    • Dec
    • A. S. Poznyak and K. Najim, "Learning through reinforcement for N person repeated contrained games," IEEE Trans. Systems, Man, Cybern. Part B. Cybern., vol. 32, no. 6, pp. 759-771, Dec. 2002.
    • (2002) IEEE Trans. Systems, Man, Cybern. Part B. Cybern , vol.32 , Issue.6 , pp. 759-771
    • Poznyak, A.S.1    Najim, K.2
  • 22
    • 24044478781 scopus 로고    scopus 로고
    • Population learning in a model with random payoff landscapes and endogenous networks
    • G. Fagiolo, L. Marengo, and M. Valente, "Population learning in a model with random payoff landscapes and endogenous networks," Comput. Econ., vol. 24, no. 4, pp. 383-408, 2004.
    • (2004) Comput. Econ , vol.24 , Issue.4 , pp. 383-408
    • Fagiolo, G.1    Marengo, L.2    Valente, M.3
  • 23
    • 14244256354 scopus 로고    scopus 로고
    • On a class of large-scale cost coupled Maxkov games with applications to decentralized power control
    • Nassau, Bahamas
    • M. Huang, R. P. Malhamé, and P. E. Caines, "On a class of large-scale cost coupled Maxkov games with applications to decentralized power control," in Proc. 43rd Conf. Decision Control, Nassau, Bahamas, 2004, pp. 2830-2835.
    • (2004) Proc. 43rd Conf. Decision Control , pp. 2830-2835
    • Huang, M.1    Malhamé, R.P.2    Caines, P.E.3
  • 24
    • 1542359162 scopus 로고    scopus 로고
    • Individual and mass behaviour in large population stochastic wireless power control problem: Centralized and Nash equilibrium solutions
    • Maul, HI
    • M. Huang, P. E. Caines, and R. P. Malhame, "Individual and mass behaviour in large population stochastic wireless power control problem: Centralized and Nash equilibrium solutions," in Proc. 42nd Conf. Decision Control, Maul, HI, 2003, pp. 98-103.
    • (2003) Proc. 42nd Conf. Decision Control , pp. 98-103
    • Huang, M.1    Caines, P.E.2    Malhame, R.P.3
  • 25
    • 14244256597 scopus 로고    scopus 로고
    • Large-population cost-coupled LQG problems: Generalizations to non-uniform individuals
    • Nassau, Bahamas
    • M. Huang, P. E. Caines, and R. P. Malhamé, "Large-population cost-coupled LQG problems: Generalizations to non-uniform individuals," in Proc. 43rd Conf. Decision Control, Nassau, Bahamas, 2004, pp. 3453-3458.
    • (2004) Proc. 43rd Conf. Decision Control , pp. 3453-3458
    • Huang, M.1    Caines, P.E.2    Malhamé, R.P.3
  • 26
    • 34648831837 scopus 로고    scopus 로고
    • Large-population cost-coupled LQG problems with nonuniform agents: Individual-mass behavior and decentralized ε-Nash equilibria
    • Sep
    • M. Huang, P. E. Caines, and R. P. Malhamé, "Large-population cost-coupled LQG problems with nonuniform agents: Individual-mass behavior and decentralized ε-Nash equilibria," IEEE Trans. Autom. Control, vol. 52, no. 9, pp. 1560-1571, Sep. 2007.
    • (2007) IEEE Trans. Autom. Control , vol.52 , Issue.9 , pp. 1560-1571
    • Huang, M.1    Caines, P.E.2    Malhamé, R.P.3
  • 30
    • 0018922522 scopus 로고
    • Existence and uniqueness of equilibrium points for concave n-person games
    • J. B. Rosen, "Existence and uniqueness of equilibrium points for concave n-person games," Econometrica, vol. 33, no. 3, pp. 520-534, 1965.
    • (1965) Econometrica , vol.33 , Issue.3 , pp. 520-534
    • Rosen, J.B.1
  • 31
    • 21144443883 scopus 로고    scopus 로고
    • Distributed environmental monitoring using random sensor networks
    • S. N. Simić and S. Sastry, "Distributed environmental monitoring using random sensor networks," Lecture Notes in Computer Science, vol. 2634, pp. 582-592, 2003.
    • (2003) Lecture Notes in Computer Science , vol.2634 , pp. 582-592
    • Simić, S.N.1    Sastry, S.2
  • 33
    • 34249105008 scopus 로고    scopus 로고
    • Nash cerntainty equivalence in large population stochastic dynamic games: Connections with the physics of interacting particle systems
    • San Diego, CA
    • M. Huang, R. P. Malhamé, and P. E. Caines, "Nash cerntainty equivalence in large population stochastic dynamic games: Connections with the physics of interacting particle systems," in Proc. 45th IEEE Conf. Decision Control, San Diego, CA, 2006, pp. 4921-4926.
    • (2006) Proc. 45th IEEE Conf. Decision Control , pp. 4921-4926
    • Huang, M.1    Malhamé, R.P.2    Caines, P.E.3
  • 36
    • 7244219736 scopus 로고    scopus 로고
    • Uplink power adjustment in wireless communication systems: A stochastic control analysis
    • Oct
    • M. Huang, P. E. Caines, and R. P. Malhamé, "Uplink power adjustment in wireless communication systems: A stochastic control analysis," IEEE Trans. Autom. Control, vol. 49, no. 10, pp. 1693-1708, Oct. 2004.
    • (2004) IEEE Trans. Autom. Control , vol.49 , Issue.10 , pp. 1693-1708
    • Huang, M.1    Caines, P.E.2    Malhamé, R.P.3
  • 37
    • 33748420028 scopus 로고    scopus 로고
    • Non-linear protocols for optimal distributed consensus in networks of dynamics agents
    • D. Bauso, L. Giarré, and R. Pesenti, "Non-linear protocols for optimal distributed consensus in networks of dynamics agents," Syst. Control Lett., vol. 55, no. 11, pp. 918-928, 2006.
    • (2006) Syst. Control Lett , vol.55 , Issue.11 , pp. 918-928
    • Bauso, D.1    Giarré, L.2    Pesenti, R.3
  • 38
    • 84885764330 scopus 로고    scopus 로고
    • Nash equilibria for large-population linear stochastic systems of weakly coupled agents
    • E. K. Boukas and R. P. Malhamé, Eds. New York: Springer, ch. 9, pp
    • M. Huang, R. P. Malhamé, and P. E. Caines, "Nash equilibria for large-population linear stochastic systems of weakly coupled agents," in In Analysis, Control and Optimization of Complex Dynamic Systems E. K. Boukas and R. P. Malhamé, Eds. New York: Springer, 2005, ch. 9, pp. 215-252.
    • (2005) In Analysis, Control and Optimization of Complex Dynamic Systems , pp. 215-252
    • Huang, M.1    Malhamé, R.P.2    Caines, P.E.3
  • 40
    • 14044251460 scopus 로고    scopus 로고
    • Pedestrian flow modeling by adaptive control
    • S. P. Hoogendoorn, "Pedestrian flow modeling by adaptive control," Transportation Res. Rec., vol. 1878, pp. 5-103, 2004.
    • (2004) Transportation Res. Rec , vol.1878 , pp. 5-103
    • Hoogendoorn, S.P.1
  • 45
    • 0004151496 scopus 로고    scopus 로고
    • New York: Springer-Verlag
    • R. Bhatia, Matrix Analysis.. New York: Springer-Verlag, 1997, p. 311.
    • (1997) Matrix Analysis , pp. 311
    • Bhatia, R.1


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