73 citations · 135 across the 10 of their papers we have counts for
10 papers
Transmission Neural Networks: Approximate Receding Horizon Control for Virus Spread on Networks
Shuang Gao, Peter E. Caines
Transmission Neural Networks (TransNNs) proposed by Gao and Caines (2022) serve as both virus spread models over networks and neural network models with tuneable activation functio…
Transmission Neural Networks: Approximation and Optimal Control
Shuang Gao, Peter E. Caines
Transmission Neural Networks (TransNNs) introduced by Gao and Caines (2022) connect virus spread models over networks and neural networks with tuneable activation functions. This p…
Transmission Neural Networks: From Virus Spread Models to Neural Networks
Shuang Gao, Peter E. Caines
This work connects models for virus spread on networks with their equivalent neural network representations. Based on this connection, we propose a new neural network architecture,…
Stationary Cost Nodes in Infinite Horizon LQG-GMFGs
Rinel Foguen Tchuendom, Shuang Gao, Peter E. Caines
An analysis of infinite horizon linear quadratic Gaussian (LQG) Mean Field Games is given within the general framework of Graphon Mean Field Games (GMFG) on dense infinite graphs (…
Optimal control of network-coupled subsystems: Spectral decomposition and low-dimensional solutions
Shuang Gao, Aditya Mahajan
In this paper, we investigate optimal control of network-coupled subsystems where the dynamics and the cost couplings depend on an underlying undirected weighted graph. The graph c…
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…
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…
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…