• Optimization with affine homogeneous quadratic integral inequality constraints
    G. Fantuzzi, A. Wynn, P. J. Goulart and A. Papachristodoulou
    IEEE Transactions on Automatic Control, 2017. To appear.
    BibTeX  URL  Preprint  Code 

    @article{FWGP:2017,
      author = {G. Fantuzzi and A. Wynn and P. J. Goulart and A. Papachristodoulou},
      title = {Optimization with affine homogeneous quadratic integral inequality constraints},
      journal = {IEEE Transactions on Automatic Control},
      year = {2017},
      note = {To appear},
      url = {http://dx.doi.org/10.1109/TAC.2017.2703927},
      doi = {10.1109/TAC.2017.2703927}
    }
    

  • Global stability analysis of periodic rotating Couette flow using Sum-of-Squares of Polynomials
    D. Huang, S. Chernyshenko, P. J. Goulart, D. Lasagna, O. Tutty and F. Fuentes
    April 2015.
    BibTeX 

    @article{HCGetal:2015,
      author = {D. Huang and S. Chernyshenko and P. J. Goulart and D. Lasagna and O. Tutty and F. Fuentes},
      title = {Global stability analysis of periodic rotating Couette flow using Sum-of-Squares of Polynomials},
      year = {2015}
    }
    

  • Polynomial SOS in fluid dynamics: a review with a look ahead
    S. Chernyshenko, P. J. Goulart, D. Huang and A. Papachristodoulou
    Philisophical Transactions of the Royal Society A, vol. 372, no. 2020, June 2014.
    BibTeX  URL 

    @article{CGHP:2014,
      author = {S. Chernyshenko and P. J. Goulart and D. Huang and A. Papachristodoulou},
      title = {Polynomial SOS in fluid dynamics: a review with a look ahead},
      journal = {Philisophical Transactions of the Royal Society A},
      year = {2014},
      volume = {372},
      number = {2020},
      url = {http://dx.doi.org/10.1098/rsta.2013.0350},
      doi = {10.1098/rsta.2013.0350}
    }
    

  • Turbulent separation upstream of a forward-facing step
    D. Pearson, P. J. Goulart and B. Ganapathisubramani
    Journal of Fluid Mechanics, vol. 724, pp. 284-304, June 2013.
    BibTeX  URL  Preprint 

    @article{PGG:2013,
      author = {D. Pearson and P. J. Goulart and B. Ganapathisubramani},
      title = {Turbulent separation upstream of a forward-facing step},
      journal = {Journal of Fluid Mechanics},
      year = {2013},
      volume = {724},
      pages = {284-304},
      url = {http://dx.doi.org/10.1017/jfm.2013.113},
      doi = {10.1017/jfm.2013.113}
    }
    

  • Optimal mode decomposition for unsteady flows
    A. Wynn, D. Pearson, B. Ganapathisubramani and P. J. Goulart
    Journal of Fluid Mechanics, vol. 733, pp. 473-503, October 2013.
    BibTeX  URL  Preprint  Code 

    @article{WPGG:2013,
      author = {A. Wynn and D. Pearson and B. Ganapathisubramani and P. J. Goulart},
      title = {Optimal mode decomposition for unsteady flows},
      journal = {Journal of Fluid Mechanics},
      publisher = {Cambridge Univ Press},
      year = {2013},
      volume = {733},
      pages = {473-503},
      url = {http://dx.doi.org/10.1017/jfm.2013.426},
      doi = {10.1017/jfm.2013.426}
    }
    

  • Global stability analysis of fluid flows using sum-of-squares
    P. J. Goulart and S. Chernyshenko
    Physica D, vol. 241, no. 6, pp. 692-704, March 2012.
    BibTeX  URL  Preprint 

    @article{GC:2012,
      author = {P. J. Goulart and S. Chernyshenko},
      title = {Global stability analysis of fluid flows using sum-of-squares},
      journal = {Physica D},
      year = {2012},
      volume = {241},
      number = {6},
      pages = {692-704},
      url = {http://dx.doi.org/10.1016/j.physd.2011.12.008},
      doi = {10.1016/j.physd.2011.12.008}
    }
    

  • Optimal mode decomposition for high dimensional systems
    P. J. Goulart, A. Wynn and D. Pearson
    in IEEE Conference on Decision and Control, Maui, HI, USA, pp. 4965-4970, December 2012.
    BibTeX  URL  Preprint  Code 

    @inproceedings{GWP:2012,
      author = {P. J. Goulart and A. Wynn and D. Pearson},
      title = {Optimal mode decomposition for high dimensional systems},
      booktitle = {IEEE Conference on Decision and Control},
      year = {2012},
      pages = {4965-4970},
      url = {http://dx.doi.org/10.1109/CDC.2012.6426995},
      doi = {10.1109/CDC.2012.6426995}
    }
    

  • Investigation of Turbulent Separation in a Forward-Facing Step Flow
    D. S. Pearson, P. J. Goulart and B. Ganapthisubramani
    in 13th European Turbulence Conference, Warsaw, Poland, September 2011.
    BibTeX  URL 

    @inproceedings{PGG:2011,
      author = {D. S. Pearson and P. J. Goulart and B. Ganapthisubramani},
      title = {Investigation of Turbulent Separation in a Forward-Facing Step Flow},
      booktitle = {13th European Turbulence Conference},
      year = {2011},
      url = {http://dx.doi.org/10.1088/1742-6596/318/2/022031},
      doi = {10.1088/1742-6596/318/2/022031}
    }
    

  • Observer Design for Systems with an Energy Preserving Nonlinearity, with Application to Fluid Flow
    A. Wynn and P. J. Goulart
    in IEEE Conference on Decision and Control, Orlando, FL, USA, pp. 7524-7529, December 2011.
    BibTeX  URL  Preprint 

    @inproceedings{WG:2011,
      author = {A. Wynn and P. J. Goulart},
      title = {Observer Design for Systems with an Energy Preserving Nonlinearity, with Application to Fluid Flow},
      booktitle = {IEEE Conference on Decision and Control},
      year = {2011},
      pages = {7524-7529},
      url = {http://dx.doi.org/10.1109/CDC.2011.6160445},
      doi = {10.1109/CDC.2011.6160445}
    }
    

  • Stability Analysis of Fluid Flows Using Sum-of-Squares
    P. J. Goulart and S. I. Chernyshenko
    in American Control Conference, Baltimore, MD, USA, pp. 2971-2976, July 2010.
    BibTeX  URL 

    @inproceedings{GC:2010,
      author = {P. J. Goulart and S. I. Chernyshenko},
      title = {Stability Analysis of Fluid Flows Using Sum-of-Squares},
      booktitle = {American Control Conference},
      year = {2010},
      pages = {2971-2976},
      url = {http://dx.doi.org/10.1109/ACC.2010.5531305},
      doi = {10.1109/ACC.2010.5531305}
    }
    

  • Characterisation of a boundary layer flow past a forward-facing step
    D. S. Pearson, P. J. Goulart and B. Ganapathisubramani
    in 8th ERCOFTAC Symposium on Engineering Turbulence, Modelling and Measurements, Marseille, France, June 2010.
    BibTeX 

    @inproceedings{PGG:2010,
      author = {D. S. Pearson and P. J. Goulart and B. Ganapathisubramani},
      title = {Characterisation of a boundary layer flow past a forward-facing step},
      booktitle = {8th ERCOFTAC Symposium on Engineering Turbulence, Modelling and Measurements},
      year = {2010}
    }