Preprints

  1. Infinite Horizon LQG Graphon Mean Field Games: Explicit Nash Values and Local Minima [PDF]
    R. Foguen Tchuendom, S. Gao, P. E. Caines and M. Huang
    September 2023
  2. Transmission Neural Networks: From Virus Spread Models to Neural Networks [arXiv] [Video][Slides] [Bib]
    S. Gao and P. E. Caines
    August 2022

Journal Publications

  1. LQG Graphon Mean Field Games: Analysis via Graphon Invariant Subspaces [PDF] [IEEE] [arXiv] [Bib]
    S. Gao, P. E. Caines and M. Huang
    IEEE Transactions on Automatic Control (early access) May, 2023
    DOI: 10.1109/TAC.2023.3281493
  2. Optimal Control of Network-coupled Subsystems: Spectral Decomposition and Low-dimensional Solutions [PDF] [IEEE] [arXiv] [Bib]
    S. Gao and A. Mahajan
    IEEE Transactions on Control of Network Systems, vol. 9, no. 2, pp. 657-669, June 2022
    DOI: 10.1109/TCNS.2021.3124259
  3. Subspace Decomposition for Graphon LQR: Applications to VLSNs of Harmonic Oscillators [IEEE] [aXiv] [Bib]
    S. Gao and P. E. Caines
    IEEE Transactions on Control of Network Systems, vol. 8, no. 2, pp. 576-586, June 2021
    DOI: 10.1109/TCNS.2021.3058923
  4. Linear Quadratic Graphon Field Games [CIS] [aXiv] [Bib]
    S. Gao, R. Foguen Tchuendom, and P. E. Caines
    Communications in Information and Systems (CIS), vol. 21, no. 3, pp. 341-369, June 2021
    DOI: 10.4310/CIS.2021.v21.n3.a2
  5. Graphon Control of Large-Scale Networks of Linear Systems [IEEE] [arXiv] [Bib]
    S. Gao and P. E. Caines
    IEEE Transactions on Automatic Control, vol. 65, no. 10, pp. 4090-4105, October 2020
    DOI: 10.1109/TAC.2019.2955976

Peer-reviewed Conference Publications

  1. Critical Nash Value Nodes for Control Affine Embedded Graphon Mean Field Games [PDF] [IFAC] [Bib]
    P. E. Caines, R. Foguen Tchuendom, M. Huang and S. Gao
    22nd World Congress of the International Federation of Automatic Control (IFAC), Yokohama, Japan, July, 2023, pp. 882-887.
    DOI: 10.1016/j.ifacol.2023.10.1676
  2. Fixed-Point Centrality for Networks [PDF] [IEEE] [arXiv] [Bib] [Slides]
    S. Gao
    IEEE Conference on Decision and Control (CDC), Cancun, Mexico, December, 2022, pp. 1628-1635.
    DOI: 10.1109/CDC51059.2022.9993307
  3. Optimal Network Location in Infinite Horizon LQG Graphon Mean Field Games [PDF] [IEEE] [Bib] [Slides]
    R. Foguen Tchuendom, S. Gao, M. Huang and P. E. Caines
    IEEE Conference on Decision and Control (CDC), Cancun, Mexico, December, 2022, pp.5558-5565.
    DOI: 10.1109/CDC51059.2022.9993231
  4. Stationary Cost Nodes in Infinite Horizon LQG-GMFGs [PDF] [IFAC] [arXiv] [Bib]
    R. Foguen Tchuendom, S. Gao, and P. E. Caines
    25th International Symposium on Mathematical Theory of Networks and Systems (MTNS), Bayreuth, Germany, September 12-16, 2022, pp. 284-289
    DOI: 10.1016/j.ifacol.2022.11.066
  5. Centrality-Weighted Opinion Dynamics: Disagreement and Social Network Partition [PDF] [IEEE] [arXiv] [Bib] [Slides]
    S. Gao
    IEEE Conference on Decision and Control (CDC), Austin, Texas, USA, December 14-17, 2021, pp. 5496-5501
    DOI: 10.1109/CDC45484.2021.9683067
  6. LQG Graphon Mean Field Games: Graphon Invariant Subspaces [PDF] [Corr] [IEEE][Bib] [Slides]
    S. Gao, P. E. Caines and M. Huang
    IEEE Conference on Decision and Control (CDC), Austin, Texas, USA, December 14-17, 2021, pp. 5253-5260
    DOI: 10.1109/CDC45484.2021.9683037
  7. Optimal and Approximate Solutions to Linear Quadratic Regulation of a Class of Graphon Dynamical Systems [PDF] [IEEE] [arXiv] [Bib] [Slides]
    S. Gao and P. E. Caines
    IEEE Conference on Decision and Control (CDC), Nice, France, December 11-13, 2019, pp. 8359-8365
    DOI: 10.1109/CDC40024.2019.9030095
  8. Networked Control of Coupled Subsystems: Spectral Decomposition and Low-dimensional Solutions [PDF] [IEEE] [Bib] [Slides]
    S. Gao and A. Mahajan
    IEEE Conference on Decision and Control (CDC), Nice, France, December 11-13, 2019, pp. 4514-4520
    DOI: 10.1109/CDC40024.2019.9029266
  9. Spectral Representations of Graphons in Very Large Network Systems Control [PDF] [IEEE] [arXiv] [Bib] [Slides]
    S. Gao and P. E. Caines
    IEEE Conference on Decision and Control (CDC), Nice, France, December 11-13, 2019, pp. 5068-5075
    DOI: 10.1109/CDC40024.2019.9030220
  10. Graphon Linear Quadratic Regulation of Large-scale Networks of Linear Systems [PDF] [IEEE] [Bib]
    S. Gao and P. E. Caines
    IEEE Conference on Decision and Control (CDC), Miami Beach, FL, USA, December 17-19, 2018, pp. 5892-5897
    DOI: 10.1109/CDC.2018.8619758
  11. Consensus-induced Centrality for Networks of Dynamical Systems [PDF] [Bib]
    S. Gao and P. E. Caines
    International Symposium on Mathematical Theory of Networks and Systems (MTNS), Hong Kong, China, July 16-20, 2018, pp. 769-775
  12. Graphon-LQR Control of Arbitrary Size Networks of Linear Systems [PDF] [Bib]
    S. Gao and P. E. Caines
    International Symposium on Mathematical Theory of Networks and Systems (MTNS), Hong Kong, China, July 16-20, 2018, pp. 120-127
  13. The Control of Arbitrary Size Networks of Linear Systems via Graphon Limits: An Initial Investigation [PDF] [IEEE] [Bib]
    S. Gao and P. E. Caines
    IEEE Conference on Decision and Control (CDC), Melbourne, Australia, December 12-15, 2017, pp. 1052–1057
    DOI: 10.1109/CDC.2017.8263796

Thesis

  • Graphon Control Theory for Linear Systems on Complex Networks and Related Topics [PDF] [Bib]
    S. Gao
    Ph.D. Thesis, McGill University, 2019

My Erdös number is 3.


Disclaimer
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors and other copyright holders. All individuals, organizations, and third parties copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.