76 citations · 299 across the 24 of their papers we have counts for
4 papers · 1 filter
On the Graphon Mean Field Game Equations: Individual Agent Affine Dynamics and Mean Field Dependent Performance Functions
Peter E. Caines, Daniel W. C. HO, Minyi Huang +2
This paper establishes unique solvability of a class of Graphon Mean Field Game equations. The special case of a constant graphon yields the result for the Mean Field Game equation…
Graphon Mean Field Games and the GMFG Equations
Peter E. Caines, Minyi Huang
The emergence of the graphon theory of large networks and their infinite limits has enabled the formulation of a theory of the centralized control of dynamical systems distributed…
Linear Quadratic Graphon Field Games
Shuang Gao, Rinel Foguen Tchuendom, Peter E. Caines
Linear quadratic graphon field games (LQ-GFGs) are defined to be LQ games which involve a large number of agents that are weakly coupled via a weighted undirected graph on which ea…
Subspace Decomposition for Graphon LQR: Applications to VLSNs of Harmonic Oscillators
Shuang Gao, Peter E. Caines
Graphon control has been proposed and developed in [1]-[3] to approximately solve control problems for very large-scale networks (VLSNs) of linear dynamical systems based on grapho…