Consensus of Heterogeneous Multi-agent Systems with Time Delays
Chapter
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Abstract
Subjected to various restrictions or to reach the goals with lowest costs, agents’ dynamics in real engineering applications are sometimes distinct, so consensus problem of heterogeneous multi-agent systems composed of agents with different dynamics, has interested many researchers in recent years.
References
- 1.Y. Cao, W. Ren, M. Egerstedt, Distributed containment control with multiple stationary or dynamic leaders in fixed and switching directed networks. Automatica 48(8), 1586–1597 (2012)MathSciNetCrossRefMATHGoogle Scholar
- 2.Z. Ding, Consensus output regulation of a class of heterogeneous nonlinear systems. IEEE Trans. Autom. Control 58(10), 2648–2653 (2013)MathSciNetCrossRefGoogle Scholar
- 3.W. Dong, D.L.T. Felipe, Y. Xing, Distributed output tracking control of heterogeneous linear agents, in 2014 American Control Conference, Portland, OR, pp. 4677–4682, June 2014Google Scholar
- 4.T. Hayakawa, T. Matsuzawa, S. Hara, Formation control of multi-agent systems with sampled information-relationship between information exchange structure and control performance, in 45th IEEE Conference on Decision and Control, San Diego, CA, USA, pp. 4333–4338 (2006)Google Scholar
- 5.Y. Hong, J. Hu, L. Gao, Tracking control for multi-agent consensus with an active leader and variable topology. Automatica 42(7), 1177–1182 (2006)MathSciNetCrossRefMATHGoogle Scholar
- 6.H. Hu, W. Yu, Q. Xuan, C. Zhang, G. Xie, Group consensus for heterogeneous multi-agent systems with parametric uncertainties. Neurocomputing 142(s1), 383–392 (2014)CrossRefGoogle Scholar
- 7.A. Jadbabaie, J. Lin, A.S. Morse, Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Trans. Autom. Control 48(6), 988–1001 (2003)MathSciNetCrossRefGoogle Scholar
- 8.U.T. Jonsson, C.Y. Kao, Consensus of heterogeneous LTI agents. IEEE Trans. Autom. Control 57(8), 2133–2139 (2012)MathSciNetCrossRefGoogle Scholar
- 9.J. Kim, J. Yang, J. Kim, H. Shim, Practical consensus for heterogeneous linear time-varying multi-agent systems, in 12th International Conference on Control, Automation and Systems, Jeju Island, Korea, pp. 23–28, October 2012Google Scholar
- 10.H. Kim, Output consensus of heterogeneous uncertain linear multi-agent systems. IEEE Trans. Autom. Control 56(1), 200–206 (2011)MathSciNetCrossRefGoogle Scholar
- 11.H. Kim, H. Shim, J. Seo, Output consensus of heterogeneous uncertain linear multi-agent systems. IEEE Trans. Autom. Control 56(1), 200–206 (2011)MathSciNetCrossRefGoogle Scholar
- 12.D.J. Lee, M.K. Spong, Agreement with non-uniform information delays, in 2006 American Control Conference, Minneapolis, MN, USA, pp. 756–761, June 2006Google Scholar
- 13.S. Li, G. Feng, X. Luo, X. Guan, Output consensus of heterogeneous linear discrete-time multiagent systems with structural uncertainties. IEEE Trans. Cybern. 45(12), 2868–2879 (2015)CrossRefGoogle Scholar
- 14.C.L. Liu, F. Liu, Stationary consensus of heterogeneous multi-agent systems with bounded communication delays. Automatica 47(9), 2130–2133 (2011)MathSciNetCrossRefMATHGoogle Scholar
- 15.C.L. Liu, F. Liu, Dynamical consensus seeking of heterogeneous multi-agent systems under input delays. Int. J. Commun. Syst. 26(10), 1243–1258 (2013)Google Scholar
- 16.C.L. Liu, F. Liu, Collective behavior of mixed-order linear multi-agent systems under output-coupled consensus algorithm. J. Franklin Inst. 352(9), 3585–3599 (2015)MathSciNetCrossRefGoogle Scholar
- 17.U. Munz, A. Papachristodoulou, F. Allgower, Delay robustness in non-identical multi-agent systems. IEEE Trans. Autom. Control 57(6), 1597–1603 (2012)MathSciNetCrossRefGoogle Scholar
- 18.W. Ren, R.W. Beard, Consensus seeking in multiagent systems under dynamically changing interaction topologies. IEEE Trans. Autom. Control 50(5), 655–661 (2005)MathSciNetCrossRefGoogle Scholar
- 19.Y.P. Tian, Stability analysis and design of the second-order congestion control for networks with heterogeneous delays. IEEE/ACM Trans. Netw. 13(5), 1082–1093 (2005)CrossRefGoogle Scholar
- 20.Y.P. Tian, C.L. Liu, Robust consensus of multi-agent systems with diverse input delays and asymmetric interconnection perturbations. Automatica 45(5), 1347–1353 (2009)MathSciNetCrossRefMATHGoogle Scholar
- 21.Y.P. Tian, Y. Zhang, High-order consensus of heterogeneous multi-agent systems with unknown communication delays. Automatica 48(6), 1205–1212 (2012)MathSciNetCrossRefMATHGoogle Scholar
- 22.J. Wang, N. Elia, Consensus over network with dynamic channels, in 2008 American Control Conference, Seattle, USA, pp. 2637-2642, June 2008Google Scholar
- 23.J. Wolfowitz, Products of indecomposable, aperiodic, stochastic matrices. Proc. Am. Math. Soc. 14, 733–736 (1963)MathSciNetCrossRefMATHGoogle Scholar
- 24.F. Xiao, L. Wang, State consensus for multi-agent systems with switching topologies and time-varying delays. Int. J. Control 79(10), 1277–1284 (2006)MathSciNetCrossRefMATHGoogle Scholar
- 25.Y. Zheng, L. Wang, Distributed consensus of heterogeneous multi-agent systems with fixed and switching topologies. Int. J. Control 85(12), 1967–1976 (2012)MathSciNetCrossRefMATHGoogle Scholar
- 26.J. Zhu, Stabilization and synchronization for a heterogeneous multi-agent system via harmonic control. Syst. Control Lett. 66, 1–7 (2014)MathSciNetCrossRefMATHGoogle Scholar
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