1 paper published in TAC

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Our paper on the role of interconnection directionality in the quadratic performance of double-integrator networks [1] has been published in the IEEE Transactions on Automatic Control.

[1] [doi] G. H. Oral, E. Mallada, and D. Gayme, “On the Role of Interconnection Directionality in the Quadratic Performance of Double-Integrator Networks,” IEEE Transactions on Automatic Control, vol. 67, iss. 11, pp. 6211-6218, 2022.
[Bibtex] [Abstract] [Download PDF]

This note provides a quantitative and qualitative eval- uation of the role of interconnection directionality in a general class of quadratic performance metrics for double-integrator net- works. We first develop an analysis framework that can be used to evaluate the quadratic performance metrics of networks defined over a general class of directed graphs. A comparison between systems whose directed graph Laplacians are normal and their undirected counterparts unveils an interplay between the inter- connection directionality and the control strategy that determines network performance. We show that directionality can significantly degrade performance; however well-designed feedback can exploit directionality to mitigate this degradation or even improve perfor- mance.

@article{omg2022tac,
  abstract = {This note provides a quantitative and qualitative eval- uation of the role of interconnection directionality in a general class of quadratic performance metrics for double-integrator net- works. We first develop an analysis framework that can be used to evaluate the quadratic performance metrics of networks defined over a general class of directed graphs. A comparison between systems whose directed graph Laplacians are normal and their undirected counterparts unveils an interplay between the inter- connection directionality and the control strategy that determines network performance. We show that directionality can significantly degrade performance; however well-designed feedback can exploit directionality to mitigate this degradation or even improve perfor- mance.},
  author = {Oral, H. Giray and Mallada, Enrique and Gayme, Dennice},
  bdsk-url-3 = {https://doi.org/10.1109/TAC.2021.3135358},
  doi = {10.1109/TAC.2021.3135358},
  grants = {ENERGISE-DE-EE0008006, EPCN-1711188,AMPS-1736448, CPS-1544771, CAREER-1752362, AMPS-1736448, ARO-W911NF-17-1-0092},
  journal = {IEEE Transactions on Automatic Control},
  month = {11},
  number = {11},
  pages = {6211-6218},
  record = {published, online Dec. 2021, accepted Nov. 2021, conditionally accepted Apr 2021, revised Nov. 2020, submitted Nov. 2019},
  title = {On the Role of Interconnection Directionality in the Quadratic Performance of Double-Integrator Networks},
  url = {https://mallada.ece.jhu.edu/pubs/2022-TAC-OMG.pdf},
  volume = {67},
  year = {2022}
}