- Title
- Consensusability of linear multi-agent systems with time delay
- Creator
- Hou, Wenying; Fu, Min Yue; Zhang, Huanshui
- Relation
- International Journal of Robust and Nonlinear Control Vol. 26, Issue 12, p. 2529-2541
- Publisher Link
- http://dx.doi.org/10.1002/rnc.3458
- Publisher
- John Wiley & Sons
- Resource Type
- journal article
- Date
- 2016
- Description
- This paper studies the consensusability of a continuous-time linear time-invariant multi-agent system (MAS) with time delay in an undirected network with N nodes. We show that the MAS can achieve consensus if and only if N - 1 time-delay subsystems associated with the eigenvalues of the Laplacian matrix of the network are simultaneously asymptotically stable. By employing a linear matrix inequality (LMI) method, we present a controller design method for a MAS to reach consensus. We also obtain a bound on the maximum time delay for consensusability for a MAS with first-order integrator dynamics by using frequency-domain analysis.
- Subject
- multi-agent systems; consensusability; time-delay systems; frequency domain; linear matrix inequality
- Identifier
- http://hdl.handle.net/1959.13/1320251
- Identifier
- uon:24105
- Identifier
- ISSN:1049-8923
- Language
- eng
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