In this paper, we further study the leader-following consensus problem for a class of linear discrete-time multi-agent systems subject to jointly connected switching digraphs. We first establish a stability result for a class of linear switched systems under a more relaxed assumption than those in the literature. Then, we apply this stability result to obtain the solution to our problem, which contains previous results as special cases. Finally, we apply our result to an example that cannot be handled by any existing result.
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Chen F, Ren W, Lin Z L. Multi-leader multi-follower coordination with cohesion, dispersion, and containment control via proximity graphs. Sci China Inf Sci, 2017, 60: 110204
Olfati-Saber R, Murray R M. Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans Autom Control, 2004, 49: 1520–1533
Qu Z H. Cooperative Control of Dynamical Systems: Applications to Autonomous Vehicles. Berlin: Springer, 2009
Ren W. Distributed attitude alignment in spacecraft formation flying. Int J Adapt Control Signal Process, 2007, 21: 95–113
Ren W, Beard R W. Distributed Consensus in Multi-vehicle Cooperative Control. Berlin: Springer, 2008
Lewis F L, Zhang H W, Hengster-Movric K, et al. Cooperative Control of Multi-Agent Systems: Optimal and Adaptive Design Approaches. Berlin: Springer, 2014
Zhu B, Xie L H, Han D, et al. A survey on recent progress in control of swarm systems. Sci China Inf Sci, 2017, 60: 070201
Tuna S E. Synchronizing linear systems via partial-state coupling. Automatica, 2008, 44: 2179–2184
You K Y, Xie L H. Network topology and communication data rate for consensusability of discrete-time multi-agent systems. IEEE Trans Autom Control, 2011, 56: 2262–2275
Hengster-Movric K, You K Y, Lewis F L, et al. Synchronization of discrete-time multi-agent systems on graphs using Riccati design. Automatica, 2013, 49: 414–423
Liu J W, Huang J. Leader-following consensus for linear discrete-time multi-agent systems subject to static networks. In: Proceedings of the 36th Chinese Control Conference (CCC), Dalian, 2017. 8684–8689
Huang J. The consensus for discrete-time linear multi-agent systems under directed switching networks. IEEE Trans Autom Control, 2017, 62: 4086–4092
Lee T, Xia W G, Su Y F, et al. New stability results for switched discrete-time systems with application to consensus problems. In: Proceedings of the 55th Conference on Decision and Control, Las Vegas, 2016. 5508–5514
Su Y F, Huang J. Two consensus problems for discrete-time multi-agent systems with switching network topology. Automatica, 2012, 48: 1988–1997
Jadbabaie A, Lin J, Morse A S. Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Trans Autom Control, 2003, 48: 988–1001
Ren W, Beard R W. Consensus seeking in multiagent systems under dynamically changing interaction topologies. IEEE Trans Autom Control, 2005, 50: 655–661
Cheng D Z, Wang J H, Hu X M. An extension of LaSalle’s invariance principle and its application to multi-agent consensus. IEEE Trans Autom Control, 2008, 53: 1765–1770
This work was supported by Research Grants Council of the Hong Kong Special Administration Region (Grant No. 14200617).
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Liu, J., Huang, J. Leader-following consensus of linear discrete-time multi-agent systems subject to jointly connected switching networks. Sci. China Inf. Sci. 61, 112208 (2018). https://doi.org/10.1007/s11432-018-9453-x
- multi-agent system
- discrete-time consensus
- jointly connected digraphs