Controllability improvement for linear time-invariant dynamical multi-agent systems

International Journal of Innovative Computing, Information and Control

Volumn 8, Issue 5 A, 2012, Pages 3315-3328

  Cai, Ning ^a,b   Xi, Jian Xiang ^b   Zhong, Yi Sheng ^b   Ma, Hai Ying ^a  

^a NORTH MINZU UNIVERSITY   (China)

^b TSINGHUA UNIVERSITY   (China)

Author keywords

Controllability; Graph; Multi agent systems

Indexed keywords

CANONICAL FORM; COMMUNICATION ARCHITECTURES; CONTROLLABILITY INDICES; GRAPH; GRAPH TOPOLOGY; LEADER-FOLLOWER; LINEAR TIME-INVARIANT; MULTI AGENT SYSTEM (MAS); SINGLE-INPUT SYSTEMS; SQUARE MATRICES; THEORETICAL FOUNDATIONS;

CONTROLLABILITY; MULTI AGENT SYSTEMS; TOPOLOGY;

LINEAR CONTROL SYSTEMS;

EID: 84860818469     PISSN: 13494198     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (29)

1. E. G. Gilbert, Controllability and observability in multivariable control systems, SIAM J. Control, vol.2, pp.128-151, 1963.
2. E. J. Davison and S. H. Wang, New results on the controllability and observability of composite systems, IEEE Trans. Autom. Control, vol.20, pp.123-128, 1975.
3. B. Porter, Necessary and sufficient conditions for the controllability and observability of general composite systems, Proc. of IFAC Symposium on Large Scale Systems, Udine, Italy, pp.265-269, 1976.
4. E. J. Davison, Connectability and structural controllability of composite systems, Automatica, vol.13, pp.109-123, 1977.
5. C.-T. Lin, Structural controllability, IEEE Trans. Autom. Control, vol.19, pp.201-208, 1974.
6. R. M. Zazworsky and H. K. Knudsen, Controllability and observability of linear time-invariant compartmental models, IEEE Trans. Autom. Control, vol.23, pp.872-877, 1978.
7. H. Kobayashi, H. Hanafusa and T. Yoshikawa, Controllability under decentralized information structure, IEEE Trans. Autom. Control, vol.23, pp.182-188, 1978.
8. H. Kobayashi and T. Yoshikawa, Graph-theoretical approach to controllability and localizability of decentralized control systems, IEEE Trans. Autom. Control, vol.27, pp.1096-1108, 1982.
9. C.-L. Liu and F. Liu, Asynchronously-coupled consensus of second-order dynamic agents with communication delay, International Journal of Innovative Computing, Information and Control, vol.6, no.11, pp.5035-5046, 2010.
10. H. Huang and Q. Wu, Distributed H-infinity cooperative control of multiple agents to make formations, International Journal of Innovative Computing, Information and Control, vol.6, no.11, pp.5221-5236, 2010.
11. X. Wang, L. Cheng, Z.-Q. Cao, C. Zhou, M. Tan and Z.-G. Hou, Output-feedback consensus control of linear multi-agent systems: A fixed topology, International Journal of Innovative Computing, Information and Control, vol.7, no.5(A), pp.2063-2074, 2011.
12. M. Mesbahi, On state-dependent dynamic graphs and their controllability properties, Proc. of the 43rd IEEE Conf. Decision and Control, pp.2473-2478, 2004.
13. H. G. Tanner, On the controllability of nearest neighbor interconnections, Proc. of the 43rd IEEE Conf. Decision and Control, vol.3, pp.2467-2472, 2004.
14. M. Ji, A. Muhammad and M. Egerstedt, Leader-based multi-agent coordination: Controllability and optimal control, Proc. of Amer. Control Conf., 2006.
15. A. Rahmani, M. Ji, M. Mesbahi et al., Controllability of multi-agent systems from a graph-theoretic perspective, SIAM J. Contr. Optim., vol.48, pp.162-186, 2009.
16. N. Cai and Y.-S. Zhong, Formation controllability of high order linear time-invariant swarm systems, IET Control Theory Appl., vol.4, pp.646-654, 2010.
17. N. Cai, J.-X. Xi and Y.-S. Zhong, Swarm stability of high order linear time-invariant swarm systems, IET Control Theory Appl., vol.5, pp.402-408, 2011.
18. N. Cai, J.-X. Xi and Y.-S. Zhong, Controllability improvement of LTI systems, Proc. of China Control Conf., pp.127-132, 2010.
19. N. Cai, A.-L. Wang and Y.-S. Zhong, Controllability improvement of high-order compartmental systems with single leader, Proc. of China Control Conf., pp.4895-4899, 2011.
20. B. Liu, T.-G. Chu, L. Wang et al., Controllability of a leader-follower dynamic network with switching topology, IEEE Trans. Autom. Control, vol.53, pp.1009-1013, 2008.
21. Z.-J. Ji, Z. Wang and H. Lin et al., Interconnection topologies for multi-agent coordination under leader-follower framework, Automatica, vol.45, pp.2857-2863, 2009.
22. Y.-Y. Liu, J.-J. Slotine and A.-L. Barabasi, Controllability of complex networks, Nature, vol.473, pp.167-173, 2011.
23. T. Kalaith, Linear Systems, Prentice-Hall, Upper Saddle River, New Jersey, 1980.
24. L. Wang, F.-C. Jiang, G.-M. Xie et al., Controllability of multi-agent systems based on agreement protocols, Sci. China Ser. F-Inf. Sci., vol.52, pp.2074-2088, 2009.
25. R. Olfati-Saber and R. M. Murray, Consensus problems in networks of agents with switching topology and time-delays, IEEE Trans. Autom. Control, vol.49, pp.1520-1533, 2004.
26. W. Ren and R. W. Beard, Consensus seeking in multiagent systems under dynamically changing interaction topologies, IEEE Trans. Autom. Control, vol.50, pp.655-661, 2005.
27. C. Godsil and G. Royle, Algebraic Graph Theory, Springer, New York, 2000.
28. C. Cobelli and G. Romanin-Jacur, Controllability, observability, and structural identifiability of multi input and multi output biological compartmental systems, IEEE Trans. Biomed. Eng., vol.23, pp.93-100, 1976.
29. R. A. Horn and C. R. Johnson, Matrix Analysis, Cambridge University Press, Cambridge, 1985.