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Original Articles

Robust scalable stabilisability conditions for large-scale heterogeneous multi-agent systems with uncertain nonlinear interactions: towards a distributed computing architecture

Pages 1203-1213 | Received 15 May 2015, Accepted 22 Nov 2015, Published online: 04 Jan 2016

References

  • Blondel, V., Hendrickx, J.M., Olshevsky, A., & Tsitsiklis, J.N. (2005). Convergence in multiagent coordination, consensus, and flocking. In 44th IEEE Conference on Decision and Control and European Control Conference, December 12–15 (pp. 2996–3000), Seville, Spain.
  • Boyd, S., El Ghaoui, L., Feron, E., & Balakrishnan, V. (1994). Linear matrix inequalities in system and control theory. In SIAM Studies in Applied Mathematics. Philadelphia, PA: SIAM.
  • Cheaha, C.C., Houa, S.P., & Slotine, J.J.E. (2009). Region-based shape control for a swarm of robots. Automatica, 45(10), 2406–2411.
  • Datla, D., Chen, X., Tsou, T., Raghunandan, S., Shajedul H.S.M., Reed, J.H., ...Kim, J.-H. (2012). Wireless distributed computing: A survey of research challenges. IEEE Communications Magazine. Blacksburg, VA: IEEE.
  • Del Genio, Charo I., Gross, Thilo, & Bassler, Kevin E. (2011). All scale-free networks are sparse. Physics Physical Review Letters, 107, 178701.
  • Gao, H., Meng, X., Chen, T., & Lam, J. (2010). Stabilization of networked control systems via dynamic output-feedback controllers. SIAM Journal on Control and Optimization, 48(5), 3643–3658.
  • Guo, Y., Hill, D.J., & Wang, Y. (2000). Nonlinear decentralized control of large-scale power systems. Automatica, 36, 1275–1289.
  • Horn, R.A., & Johnson, C.R. (1985). Matrix analysis. New York, NY: Cambridge University Press.
  • Khalil, H.K. (2002). Nonlinear systems (3rd ed.). Upper Saddle River, NJ: Prentice Hall.
  • Kshemkalyani, A.D., & Singhal, M. (2009). Distributed computing: Principles, algorithms, and systems. Cambridge, UK: Cambridge University Press.
  • Labibi, B., Marquez, H.J., & Chen, T. (2011). LMI optimization approach to robust decentralized controller design. International Journal of Robust and Nonlinear Control, 21(8), 904–924.
  • Langbort, C., Chandra R.S., & D’Andrea, R. (2004). Distributed control design for systems interconnected over an arbitrary graph. IEEE Transactions on Automatic Control, 49, 1502–1519.
  • Li, H., Liao, X., Li, C., Huang, H., & Li, C. (2011). Edge detection of noisy images based on cellular neural networks. Communications in Nonlinear Science and Numerical Simulation, 16, 3746–3759.
  • Li, Z., Duan, Z., Xie, L., & Liu, X. (2012). Distributed robust control of linear multi-agent systems with parameter uncertainties. International Journal of Control, 85(8), 1039–1050.
  • Limebeer, D., & Hung, Y.S. (1983). Robust stability of interconnected systems. IEEE Transactions on Automatic Control, 8, 710–716.
  • Lin, Z., Brouke, M., & Francis, B. (2004). Local control strategies for groups of mobile autonomous agents. Transactions on Automatic Control, 49(4), 622–629.
  • Liu, Xian, Wang, Jinzhi, & Huang, Lin (2007). Stabilization of a class of dynamical complex networks based on decentralized control. Physica A: Statistical Mechanics and its Applications, 383(2), 733–744.
  • Manfredi, S. (2013). On global and local consensusability of multi-agent systems with input constraint and uncertain initial conditions. In American Control Conference (ACC) (pp. 6102–6107, 8), San Francisco, CA.
  • Menon, P.P., & Edwards, C. (2009). Decentralised static output feedback stabilisation and synchronisation of networks. Automatica, 45(12), 2910–2916.
  • Peng, C., Tian, Y.-C., & Yue, D. (2010). Output feedback control of discrete-time systems in networked environments. IEEE Transactions on Man and Cybernetics, Part A: Systems and Humans, 41(1), 185–190.
  • Priscoli, F.D., Isidori, A., & Marconi, L. (2015). Leader following coordination of nonlinear agents under time-varying communication topologies. IEEE Transactions on Control of Network Systems, 2(4), 393–405.
  • Ren, W. (2009). Collective motion from consensus with cartesian coordinate coupling. IEEE Transactions on Automatic Control, 54(6), 1330–1335.
  • Saber, R.O., & Murray, R.M. (2004). Consensus problems in networks of agents with switching topology and time-delays. IEEE Transactions on Automatic Control, 49, 1520–1533.
  • Savkin, A.V. (2004). Coordinated collective motion of groups of autonomous mobile robots: Analysis of Vicsek's model. Transactions on Automatic Control, 49(6), 981–982.
  • Siljak, D. (1978). Large-scale dynamic systems: Stability and structures (North-Holland series in system science and engineering). New York, NY: Elsevier Science Ltd.
  • Susca, S., Agharkar, P., Martínez, S., & Bullo, F. (2014). Synchronization of beads on a ring by feedback control. SIAM Journal on Control and Optimization, 52(2), 914–938.
  • Vidyasagar, M. (1977). L2 stability of interconnected systems using a reformulation of the passivity theorem. IEEE Transactions on Circuits and Systems, 24, 637–645.
  • Willems, J.C. (1976). Stability of large-scale interconnected systems. New York, NY: Springer.
  • Yang, Renming, & Wang, Yuzhen (2010). Finite-time stability and stabilization of a class of nonlinear time-delay systems. SIAM Journal on Control and Optimization, 50(5), 3113–3131.

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