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math.OC2019★ 9 cited
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.…
math.OC2018★ 73 cited
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…