References

• 1. 1)
     • 31. Bhat, P.S., Bernstein, S.D.: ‘Finite-time stability of continuous autonomous systems’, SIAM J. Control Optim., 2000, 38, (3), pp. 751–766.
  2. 2)
     • 27. Hutagalung, M., Hayakawa, T., Urakubo, T.: ‘Configuration consensus of two underactuated planar rigid bodies’. Proc. IEEE Conf. on Decision and Control, 2008, pp. 5016–5021.
  3. 3)
     • 19. Chwa, D.: ‘Nonlinear tracking control of underactuate ships based on a unified kinematic and dynamic model’. Proc. Mediterranean Conf. on Control and Automation, 2007, pp. 1–6.
  4. 4)
     • 21. Xiang, X., Lapierre, L., Jouvencel, B.: ‘Smooth transition of AUV motion control: from fully-actuated to under-actuated configuration’, Robot. Auton. Syst., 2015, 67, pp. 14–22.
  5. 5)
     • 23. Yang, E., Gu, D.: ‘Nonlinear formation-keeping and mooring control of multiple autonomous underwater vehicles’, IEEE/ASME Trans. Mech., 2007, 12, (2), pp. 164–178.
  6. 6)
     • 32. Qian, C., Lin, W.: ‘A continuous feedback approach to global strong stabilization of nonlinear systems’, IEEE Trans. Autom. Control, 2001, 46, (7), pp. 1061–1079.
  7. 7)
     • 4. Jadbabaie, A., Jie, L., Stephan, M.: ‘Coordination of groups of mobile autonomous agents using nearest neighbor rules’, IEEE Trans. Autom. Control, 2003, 48, (6), pp. 988–1001.
  8. 8)
     • 18. Fossen, I.T., Pettersen, Y.K.: ‘On uniform semiglobal exponential stability (USGES) of proportional line-of-sight guidance laws’, Automatica, 2014, 50, (11), pp. 2912–2917.
  9. 9)
     • 30. Li, S., Dua, H., Lin, X.: ‘Finite-time consensus algorithm for multi-agent systems with double-integrator dynamics’, Automatica, 2011, 47, (8), pp. 1706–1712.
  10. 10)
      • 10. Cao, K.C., Jiangb, B., Yue, D.: ‘Consensus of multiple nonholonomic chained form systems’, Systems Control Lett., 2014, 72, pp. 61–70.
  11. 11)
      • 1. Agogino, A., Tumer, K.: ‘A multi-agent approach to managing air traffic flow’, Auton . Agent. Multi Agent Syst., 2012, 24, (1), pp. 1–25.
  12. 12)
      • 20. Do, D.K., Jiang, P.Z., Pan, J.: ‘Underactuated ship global tracking under relaxed conditions’, IEEE Trans. Autom. Control, 2002, 47, (9), pp. 1529–1536.
  13. 13)
      • 17. Ghommam, J., Mnif, F., Derbel, N.: ‘Global stabilisation and tracking control of underactuated surface vessels’, IET Control Theory Appl., 2010, 4, (1), pp. 71–88.
  14. 14)
      • 34. Reyhanoglu, M.: ‘Exponential stabilization of an underactuated autonomous surface vessel’, Automatica, 1997, 32, (12), pp. 2249–2254.
  15. 15)
      • 6. Jiahu, Q., Wei, X.Z., Huijun, G.: ‘Coordination of multiple agents with double-integrator dynamics under generalized interaction topologies’, IEEE Trans. Syst. Man Cybernet. B Cybernet., 2012, 42, (1), pp. 44–57.
  16. 16)
      • 2. Khan, M., Chan, B., Khan, A., et al: ‘Optimized dynamic task allocation and priority assignments in an immunized autonomous multi-robot search and rescue operation’, Sci. Technol., 2012, 15, (2), pp. 129–145.
  17. 17)
      • 3. Ren, W., Beard, R.: ‘Distributed consensus in multi-vehicle cooperative control’ (Springer, 2008).
  18. 18)
      • 12. Xin, X., Liu, Y.: ‘Control design and analysis for underactuated robotic systems’ (Springer Press, 2014).
  19. 19)
      • 14. Fossen, T.I.: ‘Guidanace and control of ocean vehicles’ (John Wiley & Sons, 1999).
  20. 20)
      • 5. Olfati-Saber, R., Muray, R.: ‘Consensus problems in networks of agents with switching topology and time-delays’, IEEE Trans. Autom. Control, 2004, 49, (9), pp. 1520–1533.
  21. 21)
      • 33. Hardy, H.G., Littlewood, E.J., Polya, G.: ‘Inequalities’ (Cambridge University Press, 1952).
  22. 22)
      • 25. Cui, R., Ge, S.S., How, B.E., et al: ‘Leader-follower formation control of underactuated autonomous underwater vehicles’, Ocean Eng., 2010, 37, (17–18), pp. 1491–1502.
  23. 23)
      • 29. Khalil, K.H.: ‘Nonlinear systems’ (Prentice Hall Press, 2002).
  24. 24)
      • 24. Shojaei, K.: ‘Leader–follower formation control of underactuated autonomous marine surface vehicles with limited torque’, Ocean Eng., 2015, 105, pp. 196–205.
  25. 25)
      • 26. Park, S.B.: ‘Adaptive formation control of underactuated autonomous underwater vehicles’, Ocean Eng., 2015, 96, pp. 1–7.
  26. 26)
      • 9. Tuna, E.S.: ‘Conditions for synchronizability in arrays of coupled linear systems’, IEEE Trans. Autom. Control, 2009, 54, (10), pp. 2416–2420.
  27. 27)
      • 7. Jiandong, Z., Yu, P.T., Jing, K.: ‘On the general consensus protocol of multi-agent systems with double-integrator dynamics’, Linear Algebra Appl., 2009, 431, (5–7), pp. 701–715.
  28. 28)
      • 13. Olfati-Saber, R.: ‘Nonlinear control of underactuated mechanical systems with application to robotics and aerospace vehicles’. PhD thesis, Massachusetts Institute of Technology, 2001.
  29. 29)
      • 22. Li, S., Wang, X.: ‘Finite-time consensus and collision avoidance control algorithms for multiple AUVs’, Automatica, 2013, 49, (11), pp. 3359–3367.
  30. 30)
      • 11. Qina, M., Liua, Z., Chen, Z.: ‘Observer-based consensus for nonlinear multi-agent systems with intermittent communication’, Neurocomputing, 2015, 154, pp. 230–238.
  31. 31)
      • 28. Hutagalung, M., Hayakawa, T., Urakubo, T.: ‘Consensus control for underactuated vehicles’. Proc. 18th IFAC World Congress, 2011, pp. 6721–6726.
  32. 32)
      • 16. Brockett, W.R.: ‘Asymptotic stability and feedback stabilization’, in Differential Geometric Control Theory, 1983, pp. 183–191.
  33. 33)
      • 15. Do, D.K., Pan, J.: ‘Control of ships and underwater vehicles’ (Springer, 2009).
  34. 34)
      • 8. Zhongkui, L., Zhisheng, D., Guanrong, C., et al: ‘Consensus of multiagent systems and synchronization of complex networks: a unified viewpoint’, IEEE Trans Circuits Syst .I: Reg. Pap., 2010, 57, (1), pp. 213–224.