Algebraic criteria for consensus problems of continuous-time networked systems

International Journal of Control

Volumn 82, Issue 4, 2009, Pages 643-658

  Li, Zonggang ^a   Jia, Yingmin ^a  

^a BEIHANG UNIVERSITY   (China)

Author keywords

Algebraic criteria; Consensus problem; Continuous time networked systems; Cooperative control; Digraph theory; Laplacian matrix; Multi agent systems

Indexed keywords

ALGEBRAIC CRITERIA; CONSENSUS PROBLEM; CONTINUOUS-TIME NETWORKED SYSTEMS; COOPERATIVE CONTROL; DIGRAPH THEORY; LAPLACIAN MATRIX;

ALGEBRA; LAPLACE TRANSFORMS; MATRIX ALGEBRA; MULTI AGENT SYSTEMS; TOPOLOGY;

CONTINUOUS TIME SYSTEMS;

EID: 67651211992     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207170802123895     Document Type: Article

References (10)

1. Cortés, J. (2006), 'Finite-time Convergent Gradient Flows with Applications to Network Consensus', Automatica, 42, 1993-2000.
2. Godsil, C., and Royle, G. (2001), Algebraic Graph Theory, New York: Springer Graduate Texts in Mathematics.
3. Horn, R.A., and Johnson, C.R. (1985), Matrix Analysis, Cambridge, UK: Cambridge University Press.
4. Jadbabaie, A., Lin, J., and Morse, A.S. (2003), 'Coordination of Groups of Mobile Autonomous Agents Using Nearest Neighbour Rules', IEEE Transactions on Automatic Control, 48, 988-1001.
5. Liu, Y., Jia, Y.M., Du, J.P., and Yu, F.S. (2007), 'Average Consensus Problem in Multi-agent Systems', in Proceedings of the European Control Conference, Kos, Greece, pp. 889-895.
6. Moreau, L. (2005), 'Stability of Multi-agent Systems with Time-dependent Communication Links', IEEE Transactions on Automatic Control, 50, 169-182.
7. Olfati-Saber, R., and Murray, R.M. (2004), 'Consensus Problem in Networks of Agents with Switching Topology and Time-delays', IEEE Transactions on Automatic Control, 49, 1520-1533.
8. Ren, W., and Beard, R.W. (2005), 'Consensus Seeking in Multi-agent Systems Under Dynamically Changing Interaction Topologies', IEEE Transactions on Automatic Control, 50, 655-660.
9. Wolfowitz, J. (1963), 'Products of Indecomposable, Aperiodic, Stochastic Matrices', Proceedings of the American Mathematical Society, 15, 733-736.
10. Wu, C.W. (2005), 'Agreement and Consensus Problems in Groups of Autonomous Agents with Linear Dynamics', IEEE International Symposium on Circuits and Systems, 1, 292-295.