Robust strategies for Nash linear quadratic games under uncertain dynamics

Differential Neural Networks for Identification and Filtering in Nonlinear Dynamic Games

“…According to the above, the aim of an identification process in terms of a dynamic game should be the modeling of such game and the obtaining of its information structure, that is, the guarantee that the control strategy of every player gives an equilibrium solution for a game despite its dynamic uncertainties. In this way, the works of [5,6] obtain feedback control strategies for differential games modeled through norm-bounded uncertainties; the studies of [7][8][9] achieve equilibrium solutions for several classes of differential games under a multimodel approach; the analyses of [10,11] present adaptive algorithms for determining equilibrium solutions without the complete knowledge of the game dynamics, and the work of [12] proposes the obtaining of a suboptimal equilibrium solution where a differential game is approximated by a fuzzy model.…”