Clustering-Based Model Order Reduction for Multi-Agent Systems with General Linear Time-Invariant Agents

نویسندگان

  • Petar Mlinarić
  • Sara Grundel
  • Peter Benner
چکیده

In this paper, we extend our clustering-based model order reduction method for multi-agent systems with single-integrator agents to the case where the agents have identical general linear time-invariant dynamics. The method consists of the Iterative Rational Krylov Algorithm, for finding a good reduced order model, and the QR decomposition-based clustering algorithm, to achieve structure preservation by clustering agents. Compared to the case of single-integrator agents, we modified the QR decomposition with column pivoting inside the clustering algorithm to take into account the block-column structure. We illustrate the method on small and large-scale examples.

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تاریخ انتشار 2016