Abstract
The synchronization of time-delayed multi-agent networks with connected and directed topology is studied. Based on the correlative work about the agent synchronization, a modified model is presented, in which each communication receiver is distributed a delay τ. In addition, a proportional term k is introduced to modulate the delay range and to guarantee the synchronization of each agent. Two new parameters mentioned above are only correlative to the network topology, and a theorem about their connections is derived by both frequency domain method and geometric method. Finally, the theoretical result is illustrated by numerical simulations.
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Foundation item: the National Natural Science Foundation of China (No. 70571017) and the Research Foundation from Provincial Education Department of Zhejiang of China (No. 20070928)
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Liu, Yl., Zhu, J. & Ding, Dw. Synchronization research of a modified time-delayed multi-agent network model. J. Shanghai Jiaotong Univ. (Sci.) 14, 321–324 (2009). https://doi.org/10.1007/s12204-009-0321-y
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DOI: https://doi.org/10.1007/s12204-009-0321-y