Shuang Gao

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Publications

Cahiers du GERAD

Nov 2019

G-2019-83
Spectral representations of graphons in very large network systems control

Shuang Gao and 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 w...

BibTeX reference

Nov 2019

G-2019-82
Optimal and approximate solutions to linear quadratic regulation of a class of graphon dynamical systems

Shuang Gao and 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 l...

BibTeX reference

Articles

May 2024

Infinite horizon LQG Graphon Mean Field Games: Explicit Nash values and local minima

Rinel Foguen Tchuendom, Shuang Gao, Peter E. Caines, and Minyi Huang

Systems & Control Letters, 187, Paper no: 105780, 2024 BibTeX reference

Dec 2023

LQG Graphon Mean Field Games: Analysis via Graphon Invariant Subspaces

Shuang Gao, Peter E. Caines, and Minyi Huang

IEEE Transactions on Automatic Control, 68(12), 7482–7497, 2023 BibTeX reference

Jun 2022

Optimal control of network-coupled subsystems: Spectral decomposition and low-dimensional solutions

Shuang Gao and Aditya Mahajan

IEEE Transactions on Control of Network Systems, 9(2), 657–669, 2022 BibTeX reference

Sep 2021

Linear quadratic graphon field games

Shuang Gao, Rinel Foguen Tchuendom, and Peter E. Caines

Communications in Information and Systems (CIS), 21(3), 341–369, 2021 BibTeX reference

Jun 2021

Subspace decomposition for graphon LQR: Applications to VLSNs of harmonic oscillators

Shuang Gao and Peter E. Caines

IEEE Transactions on Control of Network Systems, 8(2), 576–586, 2021 BibTeX reference

Oct 2020

Graphon control of large-scale networks of linear systems

Shuang Gao and Peter E. Caines

IEEE Transactions on Automatic Control, 65(10), 4090–4105, 2020 BibTeX reference

Proceedings

Jul 2023

Critical Nash Value Nodes for Control Affine Embedded Graphon Mean Field Games

Peter E. Caines, Rinel Foguen Tchuendom, Minyi Huang, and Shuang Gao

Proc. IFACWorld Congress, Yokohama, Japan, 942–947, 2023 BibTeX reference

Dec 2022

Optimal Network Location in Infinite Horizon LQG Graphon Mean Field Games

Rinel Foguen Tchuendom, Shuang Gao, Minyi Huang, and Peter E. Caines

2022 IEEE 61st Conference on Decision and Control (CDC), Cancun, Mexico, 5558–5565, 2022 BibTeX reference

Dec 2022

Fixed-Point Centrality for Networks

Shuang Gao

2022 IEEE 61st Conference on Decision and Control (CDC), Cancun, Mexico, 1628–1635, 2022 BibTeX reference

Nov 2022

Stationary Cost Nodes in Infinite Horizon LQG-GMFGs

Rinel Foguen Tchuendom, Shuang Gao, and Peter E. Caines

IFAC-PapersOnLine, 25th IFAC Symposium on Mathematical Theory of Networks and Systems MTNS 2022, 55(30), 284–289, 2022 BibTeX reference

Dec 2021

LQG graphon mean field games: Graphon invariant subspaces

Shuang Gao, Peter E. Caines, and Minyi Huang

2021 60th IEEE Conference on Decision and Control (CDC), Austin, TX, United States, 5253–5260, 2021 BibTeX reference

Dec 2021

Centrality-Weighted Opinion Dynamics: Disagreement and Social Network Partition

Shuang Gao

2021 60th IEEE Conference on Decision and Control (CDC), 5496–5501, 2021 BibTeX reference

Dec 2019

Networked control of coupled subsystems: Spectral decomposition and low-dimensional solutions

Shuang Gao and Aditya Mahajan

58th IEEE Conference on Decision and Control, Nice, France, 4514–4520, 2019 BibTeX reference

Dec 2019

Optimal and approximate solutions to linear quadratic regulation of a class of graphon dynamical systems

Shuang Gao and Peter E. Caines

Proceedings of the 58th IEEE Conference on Decision and Control (CDC), Nice, France, 8359–8365, 2019 BibTeX reference

Dec 2019

Spectral representations of graphons in very large network systems control

Shuang Gao and Peter E. Caines

Proceedings of the 58th IEEE Conference on Decision and Control (CDC), Nice, France, 5068–5075, 2019 BibTeX reference

Dec 2018

Graphon linear quadratic regulation of large-scale networks of linear systems

Shuang Gao and Peter E. Caines

57th IEEE Conference on Decision and Control, Miami Beach, FL, USA, 5892–5897, 2018 BibTeX reference

Jul 2018

Consensus-induced centrality for networks of dynamical systems

Shuang Gao and Peter E. Caines

23rd International Symposium on Mathematical Theory of Networks and Systems, Hong Kong, China, 769–775, 2018 BibTeX reference

Jul 2018

Graphon-LQR control of arbitrary size networks of linear systems

Shuang Gao and Peter E. Caines

23rd International Symposium on Mathematical Theory of Networks and Systems, Hong Kong, China, 120–127, 2018 BibTeX reference

Dec 2017

The control of arbitrary size networks of linear systems via graphon limits: An initial investigation

Shuang Gao and Peter E. Caines

56th IEEE Conference on Decision and Control, Melbourne, Australia, 1052–1057, 2017 BibTeX reference

Jul 2017

Minimum energy control of arbitrary size networks of linear systems via graphon limits

Shuang Gao and Peter E. Caines

SIAM Workshop on Network Science, Pittsburgh, USA, 2017 BibTeX reference

Jun 2017

The control of arbitrary size networks of linear systems via graphon limits

Shuang Gao and Peter E. Caines

Symposium of Controlling Complex Networks, Indianapolis, USA, 2017 BibTeX reference