Consensus of Singular Multi-Agent Systems with Continuous-Time Dynamics

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Abstract:

Consensus of singular multi-agent systems is studied, where the dynamics of each agent is described by a continuous-time singular system. Based on the controllability theory of singular systems, the consensus problem under consideration is transformed into the stability problem of a low-order normal system. Moreover, a sufficient and necessary condition for consensus is obtained by applying the stability theory. Finally, simulation examples are provided to validate the theoretical results.

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Advanced Materials Research (Volumes 591-593)

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1506-1510

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November 2012

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] T. Vicsek, A. Czirok: Novel type of phase transitions in a system of self-driven particles. Physical Review Letter, Vol.75(1995),No.6,P1226.

Google Scholar

[2] A. Jadbabaie, J. Lin, A.S. Morse: Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Transations on Automatic Control, Vol.48(2003),No.9, P988.

DOI: 10.1109/tac.2003.812781

Google Scholar

[3] R. Olfati-Saber, R.M. Murray: Consensus problem in networks of agents with switching topology and time-delays. IEEE Transacions on Automatic Control, Vol.49, (2004), No.(9), P1520.

DOI: 10.1109/tac.2004.834113

Google Scholar

[4] Q.J. Zhang, H.Y. Zhu, L.C. Shen: Average consensus of a class of second order multi-agent systems with multiple communication delays. Control and Decision.Vol.26, (2011), No.10, P1485 (In Chinese).

Google Scholar

[5] Y. Jia, Y.M. Jia: Consensus Analysis of Second-Order Multi-Agent Systems With Time-Delay. Computer Simulation. 2011. 28(7), P26 (In Chinese).

Google Scholar

[6] F. Jiang, L. Wang: Consensus seeking of high-order dynamic multi-agent systems with fixed and switching topologies, International Journal of Control, Vol.83(2010),No.2,P404.

DOI: 10.1080/00207170903177774

Google Scholar

[7] Q.L. Zhang, D.M. Yang: Analysis and Synthesis for Uncertain Descriptor Systems(Shenyang: Northeastern University Press.2003)(In Chinese).

Google Scholar

[8] Yonghong Wu, Zhi-Hong Guan: Robust consensus control in networks of agents with singular systems. IEEE international conference on control and automation(xiamen, China, June9-11, 2010), P2115.

Google Scholar

[9] W. Ren, R.W. Beard: Consensus seeking in multiagent systems under dynamically changing interaction topologies. IEEE Transactions on Automatic Control, Vol. 50,(2005), No. 5, P655.

DOI: 10.1109/tac.2005.846556

Google Scholar

[10] P.C. Parks, V. Hahn: Stability theory(Prentice Hall,1993).

Google Scholar