EXISTENCE OF NASH EQUILIBRIUM IN DIFFERENTIAL GAME APPROACH TO FORMATION CONTROL

Hossein B. Jond, Vasif V. Nabiyev, Nurhan G. Ozmen, and Dalibor Lukas

References

  1. [1] T. Balch and R. Arkin, Behavior-based formation controlfor multirobot systems, IEEE Transactions on Robotics andAutomation, 14(2), 1998, 926–939.
  2. [2] T.E. Massey and Y.B. Shtessel, Continuous traditional andhigh-order sliding modes for satellite formation control, Journalof Guidance, Control, and Dynamics, 28(4), 2005, 826–831.
  3. [3] M. Fu, L. Yu, and Y. Tuo, Extended state observer-baseddistributed formation control for autonomous surface vesselswith uncertain disturbances, International Journal of Roboticsand Automation, 2018, DOI: 10.2316/Journal.206.2018.1.206-4953.
  4. [4] J. Wang and M. Xin, Integrated optimal formation controlof multiple unmanned aerial vehicles, IEEE Transactions onControl Systems Technology, 21(5), 2013, 1731–1744.
  5. [5] A. Abbaspour, S.A.A. Moosavian, and K. Alipour, Formationcontrol and obstacle avoidance of cooperative wheeled mobilerobots, International Journal of Robotics and Automation,2015, DOI: 10.2316/Journal.206.2015.5.206-4109.
  6. [6] J. Ni, X. Yang, J. Chen, and S.X. Yang, Dynamic bioinspiredneural network for multi-robot formation control in unknownenvironments, International Journal of Robotics and Automation, 2015, DOI: 10.2316/Journal.206.2015.3.206-4217.
  7. [7] D. Atta and B. Subudhi, Decentralized formation control of multiple autonomous underwater vehicles, International Journal of Robotics and Automation, 2013, DOI:10.2316/Journal.206.2013.4.206-3613.
  8. [8] W. Ren, Consensus strategies for cooperative control of vehicleformations, IET Control Theory & Applications, 1(2), 2007,505–512.
  9. [9] D. Gu, A differential game approach to formation control,IEEE Transactions on Control Systems Technology, 16(1),2008, 85–93.
  10. [10] T. Broek, N. Wouw, and H. Nijmeijer, Formation control ofunicycle mobile robots: a virtual structure approach, Joint48th IEEE Conf. on Decision and Control and 28th ChineseControl Conf., Shanghai, 2009, 8328–8333.
  11. [11] G.M. Anderson, Comparison of optimal control and differentialgame intercept missile guidance laws, Journal of Guidance,Control, and Dynamics, 4, 1981, 109–115.
  12. [12] W. Lin, Distributed UAV formation control using differentialgame approach, Aerospace Science and Technology, 35, 2014,54–62.
  13. [13] T. Mylvaganam and A. Astolfi, A differential game approachto formation control for a team of agents with one leader,American Control Conference, Chicago, IL, 2015, 1469–1474.
  14. [14] J.C. Engwerda, LQ dynamic optimization and differentialgames (Chichester: John Wiley & Sons, 2005).
  15. [15] A.J. Laub, Matrix analysis for scientists & engineers (Philadelphia: SIAM, 2004).
  16. [16] J.C. Engwerda, On the open-loop Nash equilibrium in LQ-games, Journal of Economic Dynamics and Control, 22, 1998,729–762.
  17. [17] J.R. Silvester, Determinants of block matrices, MathematicalGazette, 84, 2000, 460–467.

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