Preprints

  1. Linear Quadratic Mean Field Games with Quantile-Dependent Cost Coefficients [PDF] [arXiv]
    S. Gao and R. P. Malhamé
    October 2024
  2. GMFG Critical Nodes for Control Affine Systems with Exponentiated Costs [PDF]
    P. Caines, M. Huang, R. Foguen-Tchuendom and S. Gao
    November 2024
  3. 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. Infinite Horizon LQG Graphon Mean Field Games: Explicit Nash Values and Local Minima [PDF] [SCL] [Bib]
    R. Foguen Tchuendom, S. Gao, P. E. Caines and M. Huang
    Systems & Control Letters, Volume 187, May 2024, 105780.
    DOI: 10.1016/j.sysconle.2024.105780
  2. 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, vol. 68, no. 12, pp. 7482 - 7497, December, 2023
    DOI: 10.1109/TAC.2023.3281493
  3. 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
  4. 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
  5. 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
  6. 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.

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