Abstract
In this chapter, we address the consensus problem of double integrators over switching network topology. Both continuous- and discrete-time (sampled data) system dynamics are taken into account.
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Notes
- 1.
An edge contraction is an operation which removes an edge from a graph while simultaneously merging together the two nodes that the edge connected. All other edges incident to either of the two nodes become incident to the single merged node.
- 2.
Note that \(\bar{\mathbf {L}}(k)\) is different from the Laplacian matrix of the communication graph G(k).
- 3.
The readers are referred to [55] for the relevant concepts on metric space.
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Qin, J., Ma, Q., Gao, H., Zheng, W.X., Kang, Y. (2022). Consensus of Double-Integrators over Switching Network Topology. In: Consensus Over Switching Network Topology: Characterizing System Parameters and Joint Connectivity. Studies in Systems, Decision and Control, vol 393. Springer, Cham. https://doi.org/10.1007/978-3-030-85657-1_2
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DOI: https://doi.org/10.1007/978-3-030-85657-1_2
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Publisher Name: Springer, Cham
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Online ISBN: 978-3-030-85657-1
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