Authors

M. Sassano, T. Mylvaganam, A. Astolfi

Abstract

It is shown that the state/costate dynamics arising in a certain class of linear quadratic differential games can be interpreted as the interconnection of (cyclo-passive) Port-Controlled Hamiltonian systems. This property relies on the fact that the (virtual) energy functions associated to each player depend only on the interplay between the inputs of the players, as opposed to the system’s matrix or the individual cost functionals. Finally, it is shown that an arbitrarily accurate approximation of an open-loop Nash equilibrium strategy, obtained from the trajectories of the state/costate system, can be robustified by externally stabilizing the stable eigenspace of the underlying state/costate system.

Citation

BibTeX

@inproceedings{Sassano_2021,
  title={{(Cyclo-Passive) Port-Controlled Hamiltonian dynamics in LQ differential games}},
  DOI={10.23919/acc50511.2021.9483326},
  booktitle={{2021 American Control Conference (ACC)}},
  publisher={IEEE},
  author={Sassano, M. and Mylvaganam, T. and Astolfi, A.},
  year={2021},
  pages={704--709}
}

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