1 citations · 2 across the 3 of their papers we have counts for
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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.…
Graphon Control of Large-scale Networks of Linear Systems
Shuang Gao, Peter E. Caines
To achieve control objectives for extremely large-scale complex networks using standard methods is essentially intractable. In this work a theory of the approximate control of comp…
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…