Explicit condition for consensus of third-order discrete-time multi-agent systems without accelerated velocity measurements |
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Authors: | Yanfen Cao Yuangong Sun Xue-Jun Xie |
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Institution: | 1. School of Mathematical Sciences, University of Jinan, Jinan 250022, Shandong, China;2. Institute of Automation, Qufu Normal University, Qufu 273165, Shandong, China |
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Abstract: | This paper investigates the consensus problem for third-order discrete-time multi-agent systems in directed networks. For the case when each agent can only receive the information of position and velocity from its neighbors, necessary and sufficient conditions for consensus have been proposed. In contrast to the preceding work, we not only present the exact consensus value, but also illustrate the influence of scaling parameters and nonzero eigenvalues of the involved Laplacian matrix on consensus. Two numerical examples are given to demonstrate the effectiveness of the obtained results. |
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Keywords: | Corresponding author |
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