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AUTHOR(S): 

M. Isabel García-Planas

 

TITLE

Exact Consensus Controllability of Multi-Agent Linear Systems

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ABSTRACT

In this paper we study the exact controllability of multi-agent linear systems, in which all agents have an identical linear dynamic mode that can be in any order.

KEYWORDS

Multi-agent systems, consensus, controllability, exact consensus controllability

REFERENCES

[1] C.T. Chen, “Introduction to Linear System Theory”. Holt, Rinehart and Winston Inc, New York, (1970). [1] C.T. Chen, “Introduction to Linear System Theory”. Holt, Rinehart and Winston Inc, New York, (1970). 

[2] A. Fax, R. Murray, Information flow and cooperative control of vehicle formations, IEEE Trans. Automat. Control. 49, (9), pp. 1453-1464, (2004). 

[3] M.I. Garc´ıa-Planas, Sensivity and stability of singular systems under proportional and derivative feedback, Wseas Transactions on Mathematics, 8, (11), pp 635-644, (2009). 

[4] M.I. Garc´ıa-Planas, Obtaining Consensus of Multi-agent Linear Dynamic Systems, Advances in Applied and Pure Mathematics, pp. 91-95, (2014) 

[5] M.I. Garc´ıa-Planas, J.L. Dom´ınguez, “Introduccion a la teor ´ ´ıa de matrices positivas. Aplicaciones”. Ed. Iniciativa Digital Politecnica, ` Barcelona, 2013. 

[6] M.I. Garc´ıa-Planas, M.D. Magret, Miniversal deformations of linear systems under the full group action. Systems and control letters, 35, pp. 279–286, (1998). 

[7] M.I. Garc´ıa-Planas, S. Tarragona, A. Diaz, Controllability of time-invariant singular linear systems. From physics to control through an emergent view. pp. 112 -117. World Scientific, 2010. 

[8] A. Jadbabaie, J. Lin, A.S. Morse, Coordination of groups of mobile autonomous agents using nearest neighbor rules, IEEE Transaction on Automatic Control. 48 (6), pp. 943-948, (2007). 

[9] P. Lancaster, M. Tismenetsky, “The Thoery of Matrices”. Academic Press. San Diego (1985). 

[10] R.O. Saber, R.M. Murray, Consensus Protocols for Networks of Dynamic Agents, Report. 

[11] R.O. Saber, R.M. Murray, Consensus problems in networks of agents with switching topology and time-delays, IEEE Trans. Automat. Control. 49, (9), pp. 1520-1533, (2004). 

[12] J. Wang, D. Cheng, X. Hu, Consensus of multiagent linear dynamics systems, Asian Journal of Control 10, (2), pp. 144-155, (2008). 

[13] D. West “Introduction to Graph Theory” Prentice Hall (3rd Edition), (2007). 

[14] G. Xie, L. Wang, Consensus control for a class of networks of dynamic agents: switching topology, Proc. 2006 Amer. Contro. Conf., pp. 1382- 1387, (2007). 

[15] Z.Z. Yuan, C. Zhao, W.X.Wang, Z.R. Di, Y.C. Lai, Exact controllability of multiplex networks, New Journal of Physics, 16, pp. 1-24, (2014). 

[16] Z.Z. Yuan, C. Zhao, W.X.Wang, Z.R. Di, Y.C. Lai, Exact controllability of complex networks Nature Communications. 4, pp. 1-12, (2013).

Cite this paper

M. Isabel García-Planas. (2016) Exact Consensus Controllability of Multi-Agent Linear Systems. Mathematical and Computational Methods, 1, 300-304

 

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