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Volumn 57, Issue 4, 2012, Pages 904-919

Distributed seeking of nash equilibria with applications to mobile sensor networks

Author keywords

Convergence; extremum seeking; learning; mobile sensor networks; multi agent control; Nash equilibrium; noncooperative games; stochastic optimization

Indexed keywords

CONVERGENCE; EXTREMUM SEEKING; LEARNING; MOBILE SENSOR NETWORKS; MULTIAGENT CONTROL; NASH EQUILIBRIA; NONCOOPERATIVE GAME; STOCHASTIC OPTIMIZATIONS;

EID: 84859722327     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2011.2174678     Document Type: Article
Times cited : (303)

References (50)
  • 2
    • 0001730497 scopus 로고
    • Non-cooperative games
    • J. Nash, "Non-cooperative games," Ann. Math., vol. 54, no. 2, pp. 286-295, 1951.
    • (1951) Ann. Math. , vol.54 , Issue.2 , pp. 286-295
    • Nash, J.1
  • 6
    • 0002088181 scopus 로고
    • Inefficiency of Nash equilibria
    • Feb.
    • P. Dubey, "Inefficiency of Nash equilibria," Math. Operat. Res., vol. 11, no. 1, pp. 1-8, Feb. 1986.
    • (1986) Math. Operat. Res. , vol.11 , Issue.1 , pp. 1-8
    • Dubey, P.1
  • 7
    • 0036990654 scopus 로고    scopus 로고
    • Decentralized optimization, with application to multiple aircraft coordination
    • G. Inalhan, D. M. Stipanović, and C. J. Tomlin, "Decentralized optimization, with application to multiple aircraft coordination," in Proc. IEEE Conf. Decision Control, 2002, pp. 1147-1155.
    • (2002) Proc. IEEE Conf. Decision Control , pp. 1147-1155
    • Inalhan, G.1    Stipanović, D.M.2    Tomlin, C.J.3
  • 11
    • 0023382715 scopus 로고
    • Distributed algorithms for the computation of noncooperative equilibria
    • S. Li and T. Basar, "Distributed algorithms for the computation of noncooperative equilibria," Automatica, vol. 23, pp. 523-533, 1987.
    • (1987) Automatica , vol.23 , pp. 523-533
    • Li, S.1    Basar, T.2
  • 12
    • 16244381482 scopus 로고    scopus 로고
    • Dynamic fictitious play, dynamic gradient play, and distributed convergence to Nash equilibria
    • Mar.
    • J. S. Shamma and G. Arslan, "Dynamic fictitious play, dynamic gradient play, and distributed convergence to Nash equilibria," IEEE Trans. Autom. Control, vol. 50, no. 3, pp. 312-327, Mar. 2005.
    • (2005) IEEE Trans. Autom. Control , vol.50 , Issue.3 , pp. 312-327
    • Shamma, J.S.1    Arslan, G.2
  • 13
    • 60349123721 scopus 로고    scopus 로고
    • Payoff based dynamics for multi-player weakly acyclic games
    • J. R. Marden, H. P. Young, G. Arslan, and J. S. Shamma, "Payoff based dynamics for multi-player weakly acyclic games," SIAM J. Control Optim., vol. 48, no. 1, pp. 373-396, 2009.
    • (2009) SIAM J. Control Optim. , vol.48 , Issue.1 , pp. 373-396
    • Marden, J.R.1    Young, H.P.2    Arslan, G.3    Shamma, J.S.4
  • 14
    • 77950831025 scopus 로고    scopus 로고
    • Distributed coverage games for mobile visual sensors (I) : Reaching the set of Nash equilibria
    • M. Zhu and S. Martinez, "Distributed coverage games for mobile visual sensors (I) : Reaching the set of Nash equilibria," in Proc. IEEE Conf. Decision Control, 2009, pp. 169-174.
    • (2009) Proc. IEEE Conf. Decision Control , pp. 169-174
    • Zhu, M.1    Martinez, S.2
  • 15
    • 59249096487 scopus 로고    scopus 로고
    • Learning by trial and error
    • H. P. Young, "Learning by trial and error," Games Econ. Behav., vol. 65, no. 2, pp. 626-643, 2009.
    • (2009) Games Econ. Behav. , vol.65 , Issue.2 , pp. 626-643
    • Young, H.P.1
  • 19
    • 0036475040 scopus 로고    scopus 로고
    • Extremum seeking control for discrete-time systems
    • Feb.
    • J. Y. Choi, M. Krstic, K. B. Ariyur, and J. S. Lee, "Extremum seeking control for discrete-time systems," IEEE Trans. Autom. Control, vol. 47, no. 2, pp. 318-323, Feb. 2002.
    • (2002) IEEE Trans. Autom. Control , vol.47 , Issue.2 , pp. 318-323
    • Choi, J.Y.1    Krstic, M.2    Ariyur, K.B.3    Lee, J.S.4
  • 20
    • 33646151136 scopus 로고    scopus 로고
    • On non-local stability properties of extremum seeking control
    • Y. Tan, D. Nešić, and I. Mareels, "On non-local stability properties of extremum seeking control," Automatica, vol. 42, pp. 889-903, 2006.
    • (2006) Automatica , vol.42 , pp. 889-903
    • Tan, Y.1    Nešić, D.2    Mareels, I.3
  • 21
    • 70449686686 scopus 로고    scopus 로고
    • Stochastic extremum seeking with applications to mobile sensor networks
    • M. S. Stanković and D. M. Stipanović, "Stochastic extremum seeking with applications to mobile sensor networks," in Proc. Amer. Control Conf., 2009, pp. 5622-5627.
    • (2009) Proc. Amer. Control Conf. , pp. 5622-5627
    • Stanković, M.S.1    Stipanović, D.M.2
  • 22
    • 77955432664 scopus 로고    scopus 로고
    • Extremum seeking under stochastic noise and applications to mobile sensors
    • M. S. Stanković and D. M. Stipanović, "Extremum seeking under stochastic noise and applications to mobile sensors," Automatica, vol. 46, pp. 1243-1251, 2010.
    • Automatica , vol.46 , Issue.2010 , pp. 1243-1251
    • Stanković, M.S.1    Stipanović, D.M.2
  • 23
    • 34548541133 scopus 로고    scopus 로고
    • Extremum seeking for moderately unstable systems and for autonomous vehicle target tracking without position measurements
    • C. Zhang, A. Siranosian, and M. Krstic, "Extremum seeking for moderately unstable systems and for autonomous vehicle target tracking without position measurements," Automatica, vol. 43, pp. 1832-1839, 2007.
    • (2007) Automatica , vol.43 , pp. 1832-1839
    • Zhang, C.1    Siranosian, A.2    Krstic, M.3
  • 24
    • 77950834648 scopus 로고    scopus 로고
    • Discrete time extremum seeking by autonomous vehicles in a stochastic environment
    • M. S. Stanković and D. M. Stipanović, "Discrete time extremum seeking by autonomous vehicles in a stochastic environment," in Proc. IEEE Conf. Decision Control, 2009, pp. 4541-4546.
    • (2009) Proc. IEEE Conf. Decision Control , pp. 4541-4546
    • Stanković, M.S.1    Stipanović, D.M.2
  • 26
    • 68749105669 scopus 로고    scopus 로고
    • Distributed motion constraints for algebraic connectivity of robotic networks
    • M. Schuresko and J. Cortes, "Distributed motion constraints for algebraic connectivity of robotic networks," J. Intell. Robot. Syst., vol. 56, no. 1-2, pp. 99-126, 2009.
    • (2009) J. Intell. Robot. Syst. , vol.56 , Issue.1-2 , pp. 99-126
    • Schuresko, M.1    Cortes, J.2
  • 27
    • 77955778594 scopus 로고    scopus 로고
    • Bounded control of network connectivity in multi-agent systems
    • D. V. Dimarogonas and K. H. Johansson, "Bounded control of network connectivity in multi-agent systems," IET Control Theory Applicat., vol. 4, no. 8, pp. 1330-1338, 2010.
    • (2010) IET Control Theory Applicat. , vol.4 , Issue.8 , pp. 1330-1338
    • Dimarogonas, D.V.1    Johansson, K.H.2
  • 28
    • 74149084751 scopus 로고    scopus 로고
    • Decentralized estimation and control of graph connectivity for mobile sensor networks
    • P. Yang, R. Freeman, G. Gordon, K. Lynch, S. Srinivasa, and R. Sukthankar, "Decentralized estimation and control of graph connectivity for mobile sensor networks," Automatica, vol. 46, no. 2, pp. 390-396, 2010.
    • (2010) Automatica , vol.46 , Issue.2 , pp. 390-396
    • Yang, P.1    Freeman, R.2    Gordon, G.3    Lynch, K.4    Srinivasa, S.5    Sukthankar, R.6
  • 30
    • 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
  • 31
    • 33645395957 scopus 로고    scopus 로고
    • Sensor networks and cooperative control
    • C. G. Cassandras and W. Li, "Sensor networks and cooperative control," Eur. J. Control, vol. 11, no. 4-5, pp. 436-463, 2005.
    • (2005) Eur. J. Control , vol.11 , Issue.4-5 , pp. 436-463
    • Cassandras, C.G.1    Li, W.2
  • 33
    • 80053155591 scopus 로고    scopus 로고
    • Distributed positioning of autonomous mobile sensors with application to coverage control
    • H.-B. Dürr, M. S. Stanković, and K. H. Johansson, "Distributed positioning of autonomous mobile sensors with application to coverage control," in Proc. Amer. Control Conf., 2011, pp. 4822-4827.
    • (2011) Proc. Amer. Control Conf. , pp. 4822-4827
    • Dürr, H.-B.1    Stanković, M.S.2    Johansson, K.H.3
  • 34
    • 84859717717 scopus 로고    scopus 로고
    • Nash equilibrium seeking in multi-vehicle systems: A Lie bracket approximation-based approach
    • H.-B. Dürr, M. S. Stanković, and K. H. Johansson, "Nash equilibrium seeking in multi-vehicle systems: A Lie bracket approximation-based approach," arXiv:1109.6129v2, 2011.
    • ArXiv:1109.6129v2 , vol.2011
    • Dürr, H.-B.1    Stanković, M.S.2    Johansson, K.H.3
  • 35
    • 75449109787 scopus 로고    scopus 로고
    • Mobile sensor network control using mutual information methods and particle filters
    • Jan.
    • G. M. Hoffmann and C. J. Tomlin, "Mobile sensor network control using mutual information methods and particle filters," IEEE Trans. Autom. Control, vol. 55, no. 1, pp. 32-47, Jan. 2010.
    • (2010) IEEE Trans. Autom. Control , vol.55 , Issue.1 , pp. 32-47
    • Hoffmann, G.M.1    Tomlin, C.J.2
  • 36
    • 33847182418 scopus 로고    scopus 로고
    • On collective motion in sensor networks: Sample problems and distributed algorithms
    • Dec.
    • A. Ganguli, S. Susca, S. Martinez, F. Bullo, and J. Cortes, "On collective motion in sensor networks: Sample problems and distributed algorithms," in Proc. IEEE Conf. Decision Control, Dec. 2005, pp. 4239-4244.
    • (2005) Proc. IEEE Conf. Decision Control , pp. 4239-4244
    • Ganguli, A.1    Susca, S.2    Martinez, S.3    Bullo, F.4    Cortes, J.5
  • 37
    • 11144354539 scopus 로고    scopus 로고
    • Coverage control for mobile sensing networks
    • Apr.
    • J. Cortes, S. Martinez, T. Karatas, and F. Bullo, "Coverage control for mobile sensing networks," IEEE Trans. Robot. Autom., vol. 20, no. 2, pp. 243-255, Apr. 2004.
    • (2004) IEEE Trans. Robot. Autom. , vol.20 , Issue.2 , pp. 243-255
    • Cortes, J.1    Martinez, S.2    Karatas, T.3    Bullo, F.4
  • 38
    • 33747587663 scopus 로고    scopus 로고
    • Robust rendezvous for mobile autonomous agents via proximity graphs in arbitrary dimensions
    • Aug.
    • J. Cortes, S. Martinez, and F. Bullo, "Robust rendezvous for mobile autonomous agents via proximity graphs in arbitrary dimensions," IEEE Trans. Autom. Control, vol. 51, no. 8, pp. 1289-1298, Aug. 2006.
    • (2006) IEEE Trans. Autom. Control , vol.51 , Issue.8 , pp. 1289-1298
    • Cortes, J.1    Martinez, S.2    Bullo, F.3
  • 39
    • 0346867085 scopus 로고
    • Pseudogradient algorithms of adaptation and learning
    • B. T. Polyak and Y. Z. Tsypkin, "Pseudogradient algorithms of adaptation and learning," Autom. Remote Control, no. 3, pp. 45-68, 1973.
    • (1973) Autom. Remote Control , Issue.3 , pp. 45-68
    • Polyak, B.T.1    Tsypkin, Y.Z.2
  • 42
    • 0017526570 scopus 로고
    • Analysis of recursive stochastic algorithms
    • Aug.
    • L. Ljung, "Analysis of recursive stochastic algorithms," IEEE Trans. Autom. Control, vol. AC-22, no. 4, pp. 551-575, Aug. 1977.
    • (1977) IEEE Trans. Autom. Control , vol.AC-22 , Issue.4 , pp. 551-575
    • Ljung, L.1
  • 43
    • 0000579136 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
  • 44
    • 70449676512 scopus 로고
    • Asymptotic properties of the stochastic approximation procedure with dependent noise
    • A. S. Poznyak and D. O. Chikin, "Asymptotic properties of the stochastic approximation procedure with dependent noise," Autom. Remote Control, no. 12, pp. 78-93, 1984.
    • (1984) Autom. Remote Control , Issue.12 , pp. 78-93
    • Poznyak, A.S.1    Chikin, D.O.2
  • 45
    • 0141545782 scopus 로고
    • Convergence and rate of convergence of iterative stochastic algorithms, II linear case
    • B. T. Polyak, "Convergence and rate of convergence of iterative stochastic algorithms, II linear case," Autom. Remote Control, no. 4, pp. 101-107, 1977.
    • (1977) Autom. Remote Control , Issue.4 , pp. 101-107
    • Polyak, B.T.1
  • 46
    • 0039592821 scopus 로고
    • Convergence and rate of convergence of iterative stochastic algorithms, I general case
    • B. T. Polyak, "Convergence and rate of convergence of iterative stochastic algorithms, I general case," Autom. Remote Control, no. 12, pp. 83-94, 1976.
    • (1976) Autom. Remote Control , Issue.12 , pp. 83-94
    • Polyak, B.T.1
  • 48
    • 33846301719 scopus 로고    scopus 로고
    • Source seeking with nonholonomic unicycle without position measurement and with tuning of forward velocity
    • C. Zhang, D. Arnold, N. Ghods, A. Siranosian, and M. Krstic, "Source seeking with nonholonomic unicycle without position measurement and with tuning of forward velocity," Syst. Control Lett., vol. 56, pp. 245-252, 2007.
    • (2007) Syst. Control Lett. , vol.56 , pp. 245-252
    • Zhang, C.1    Arnold, D.2    Ghods, N.3    Siranosian, A.4    Krstic, M.5
  • 49
    • 79952607553 scopus 로고    scopus 로고
    • Decentralized parameter estimation by consensus based stochastic approximation
    • Mar.
    • S. S. Stanković,M. S. Stanković, and D. M. Stipanović, "Decentralized parameter estimation by consensus based stochastic approximation," IEEE Trans. Autom. Control, vol. 56, no. 3, pp. 531-543, Mar. 2011.
    • (2011) IEEE Trans. Autom. Control , vol.56 , Issue.3 , pp. 531-543
    • Stanković, S.S.1    Stanković, M.S.2    Stipanović, D.M.3
  • 50
    • 75449105202 scopus 로고    scopus 로고
    • Stochastic consensus seeking with noisy and directed inter-agent communication: Fixed and randomly varying topologies
    • Jan.
    • M. Huang and J. Manton, "Stochastic consensus seeking with noisy and directed inter-agent communication: Fixed and randomly varying topologies," IEEE Trans. Autom. Control, vol. 55, no. 1, pp. 235-241, Jan. 2010.
    • (2010) IEEE Trans. Autom. Control , vol.55 , Issue.1 , pp. 235-241
    • Huang, M.1    Manton, J.2


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