1 citations · 2 across the 3 of their papers we have counts for
5 papers
Optimal and Approximate Solutions to Linear Quadratic Regulation of a Class of Graphon Dynamical Systems
Shuang Gao, Peter E. Caines
In this paper we study the linear quadratic regulation (LQR) problem for dynamical systems coupled over large-scale networks and obtain locally computable low-complexity solutions.…
Spectral Representations of Graphons in Very Large Network Systems Control
Shuang Gao, Peter E. Caines
Graphon-based control has recently been proposed and developed to solve control problems for dynamical systems on networks which are very large or growing without bound (see Gao an…
The density evolution of the killed Mckean-Vlasov process
Peter E. Caines, Daniel Ho, Qingshuo Song
The study of the density evolution naturally arises in Mean Field Game theory for the estimation of the density of the large population dynamics. In this paper, we study the densit…
Mean Field Stochastic Adaptive Control
Arman C. Kizilkale, Peter E. Caines
For noncooperative games the mean field (MF) methodology provides decentralized strategies which yield Nash equilibria for large population systems in the asymptotic limit of an in…
On the Optimal Control of Impulsive Hybrid Systems On Riemannian Manifolds
Farzin Taringoo, Peter E. Caines
This paper provides a geometrical derivation of the Hybrid Minimum Principle (HMP) for autonomous impulsive hybrid systems on Riemannian manifolds, i.e. systems where the manifold…