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.
Sassano, M., Mylvaganam, T., Astolfi, A. (2021). (Cyclo-Passive) Port-Controlled Hamiltonian dynamics in LQ differential games. ??????? it.cilea.surplus.oa.citation.tipologie.CitationProceedings.prensentedAt ??????? IEEE proceedings of the American Control Conference, New Orleans [10.23919/ACC50511.2021.9483326].
(Cyclo-Passive) Port-Controlled Hamiltonian dynamics in LQ differential games
Sassano M.
;Astolfi A.
2021-01-01
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
