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Publications of A. Zare
Theses
  1. A. Zare. Low-complexity stochastic modeling of wall-bounded shear flows. PhD thesis, University of Minnesota, 2016. Keyword(s): Alternating minimization algorithm, Colored noise, Convex optimization, Disturbance dynamics, Flow modeling and control, Low-complexity modeling, Low-rank approximation, Matrix completion problem, Nuclear norm regularization, Structured covariances, Turbulence modeling. [bibtex-entry]


Journal articles
  1. H. Mohammadi, A. Zare, M. Soltanolkotabi, and M. R. Jovanovic. Convergence and sample complexity of gradient methods for the model-free linear quadratic regulator problem. IEEE Trans. Automat. Control, 2021. Note: Doi:10.1109/TAC.2021.3087455; also arXiv:1912.11899. Keyword(s): Data-driven control, Gradient descent, Gradient-flow dynamics, Linear quadratic regulator, Model-free control, Nonconvex optimization, Optimization, Optimal control, Polyak-Lojasiewicz inequality, Random search method, Reinforcement learning, Sample complexity. [bibtex-entry]


  2. W. Ran, A. Zare, and M. R. Jovanovic. Model-based design of riblets for turbulent drag reduction. J. Fluid Mech., 906:A7 (38 pages), January 2021. Keyword(s): Drag reduction, Riblets, Sensor-free flow control, Spatially-periodic systems, Spatio-temporal frequency responses, Stochastically-forced Navier-Stokes equations, Turbulence modeling. [bibtex-entry]


  3. A. Zare, T. T. Georgiou, and M. R. Jovanovic. Stochastic dynamical modeling of turbulent flows. Annu. Rev. Control Robot. Auton. Syst., 3:195-219, May 2020. Keyword(s): Colored noise, Convex optimization, Disturbance dynamics, Flow modeling and control, Low-complexity modeling, Low-rank approximation, Matrix completion problems, Nuclear norm regularization, Structured covariances, Turbulence modeling. [bibtex-entry]


  4. A. Zare, H. Mohammadi, N. K. Dhingra, T. T. Georgiou, and M. R. Jovanovic. Proximal algorithms for large-scale statistical modeling and sensor/actuator selection. IEEE Trans. Automat. Control, 65(8):3441-3456, August 2020. Keyword(s): Actuator selection, Augmented Lagrangian, Convex optimization, Low-rank perturbation, Matrix completion problem, Method of multipliers, Non-smooth optimization, Proximal algorithms, Regularization for design, Sensor selection, Sparsity-promoting optimal control, Structured covariances. [bibtex-entry]


  5. W. Ran, A. Zare, M. J. P. Hack, and M. R. Jovanovic. Modeling mode interactions in boundary layer flows via Parabolized Floquet Equations. Phys. Rev. Fluids, 4(2):023901 (22 pages), February 2019. Keyword(s): Boundary layers, Control-oriented modeling, Distributed systems, Floquet theory, H-type transition, Laminar streaks, Parabolized Floquet equations, Parabolized stability equations, Periodic systems, Transition to turbulence. [bibtex-entry]


  6. W. Ran, A. Zare, M. J. P. Hack, and M. R. Jovanovic. Stochastic receptivity analysis of boundary layer flow. Phys. Rev. Fluids, 4(9):093901 (28 pages), September 2019. Keyword(s): Boundary layers, Boundary layer receptivity, Control-oriented modeling, Distributed systems, Energy amplification, Flow modeling and control, Free-stream turbulence, Low-complexity modeling, Navier-Stokes equations, Spatially-evolving flows, Transition to turbulence. [bibtex-entry]


  7. A. Zare, Y. Chen, M. R. Jovanovic, and T. T. Georgiou. Low-complexity modeling of partially available second-order statistics: theory and an efficient matrix completion algorithm. IEEE Trans. Automat. Control, 62(3):1368-1383, March 2017. Keyword(s): Alternating minimization algorithm, Convex optimization, Disturbance dynamics, Low-rank approximation, Matrix completion problems, Nuclear norm regularization, Structured covariances. [bibtex-entry]


  8. A. Zare, M. R. Jovanovic, and T. T. Georgiou. Colour of turbulence. J. Fluid Mech., 812:636-680, February 2017. Keyword(s): Colored noise, Convex optimization, Disturbance dynamics, Flow modeling and control, Low-complexity modeling, Low-rank approximation, Matrix completion problems, Nuclear norm regularization, Structured covariances, Turbulence modeling. [bibtex-entry]


Conference articles
  1. W. Ran, A. Zare, M. J. P. Hack, and M. R. Jovanovic. Boundary layer receptivity analysis via the algebraic Lyapunov equation. In Proceedings of the 2020 AIAA SciTech Forum and Exposition, Orlando, FL, pages 0109 (15 pages), 2020. Keyword(s): Boundary layers, Boundary layer receptivity, Control-oriented modeling, Distributed systems, Energy amplification, Flow modeling and control, Free-stream turbulence, Low-complexity modeling, Navier-Stokes equations, Spatially-evolving flows, Transition to turbulence. [bibtex-entry]


  2. W. Ran, A. Zare, and M. R. Jovanovic. Frequency-response analysis of riblets for turbulent drag reduction. In Proceedings of the 24th International Symposium on Mathematical Theory of Network and Systems, Cambridge, UK, 2020. Note: Submitted. Keyword(s): Drag reduction, Riblets, Sensor-free flow control, Spatially-periodic systems, Spatio-temporal frequency responses, Stochastically-forced Navier-Stokes equations, Turbulence modeling. [bibtex-entry]


  3. H. Mohammadi, A. Zare, M. Soltanolkotabi, and M. R. Jovanovic. Global exponential convergence of gradient methods over the nonconvex landscape of the linear quadratic regulator. In Proceedings of the 58th IEEE Conference on Decision and Control, Nice, France, pages 7474-7479, 2019. Keyword(s): Data-driven control, Global exponential stability, Gradient descent, Gradient-flow dynamics, Model-free control, Nonconvex optimization, Optimization, Optimal control, Reinforcement learning. [bibtex-entry]


  4. W. Ran, A. Zare, M. J. P. Hack, and M. R. Jovanovic. Relating global and local stochastic receptivity analysis of boundary layer flows. In Proceedings of the 2019 American Control Conference, Philadelphia, PA, pages 3212-3217, 2019. Note: (Invited paper). Keyword(s): Boundary layers, Boundary layer receptivity, Control-oriented modeling, Distributed systems, Energy amplification, Flow modeling and control, Free-stream turbulence, Low-complexity modeling, Navier-Stokes equations, Spatially-evolving flows, Transition to turbulence. [bibtex-entry]


  5. W. Ran, A. Zare, and M. R. Jovanovic. Drag reduction in turbulent channel flow over spatially periodic surfaces. In Proceedings of the 58th IEEE Conference on Decision and Control, Nice, France, pages 5918-5923, 2019. Keyword(s): Drag reduction, Riblets, Sensor-free flow control, Spatially-periodic systems, Spatio-temporal frequency responses, Stochastically-forced Navier-Stokes equations, Turbulence modeling. [bibtex-entry]


  6. W. Ran, A. Zare, M. J. P. Hack, and M. R. Jovanovic. Low-complexity modeling of mode interactions in boundary layer flows. In Proceedings of the 2018 American Control Conference, Milwaukee, WI, pages 134-139, 2018. Note: (Invited paper). Keyword(s): Boundary layers, Control-oriented modeling, Distributed systems, Floquet theory, Parabolized stability equations, Spatially-periodic systems, Transition to turbulence. [bibtex-entry]


  7. A. Zare and M. R. Jovanovic. Optimal sensor selection via proximal optimization algorithms. In Proceedings of the 57th IEEE Conference on Decision and Control, Miami, FL, pages 6514-6519, 2018. Keyword(s): Convex optimization, Proximal algorithms, Sensor selection, Semidefinite programming, Sparsity-promoting estimation and control, Quasi-Newton methods. [bibtex-entry]


  8. D. Deka, A. Zare, A. Lokhov, M. R. Jovanovic, and M. Chertkov. State and noise covariance estimation in power grids using limited nodal PMUs. In Proceedings of the 5th IEEE Global Conference on Signal and Information Processing, Montreal, Canada, 2017. Keyword(s): Covariance completion, Delayed covariance, Power systems, Synchronization. [bibtex-entry]


  9. W. Ran, A. Zare, M. J. P. Hack, and M. R. Jovanovic. Low-complexity stochastic modeling of spatially-evolving flows. In Proceedings of the 2017 American Control Conference, Seattle, WA, pages 3815-3820, 2017. Note: (Invited paper). Keyword(s): Flow modeling and control, Low-complexity modeling, Parabolized stability equations, Spatially-evolving flows, Transition to turbulence, Turbulence modeling. [bibtex-entry]


  10. W. Ran, A. Zare, J. W. Nichols, and M. R. Jovanovic. The effect of sponge layers on global stability analysis of Blasius boundary layer flow. In Proceedings of the 47th AIAA Fluid Dynamics Conference, Denver, CO, pages 3456 (12 pages), 2017. Keyword(s): Global stability analysis, Sponge layer, Boundary layer flow. [bibtex-entry]


  11. A. Zare, N. K. Dhingra, M. R. Jovanovic, and T. T. Georgiou. Structured covariance completion via proximal algorithms. In Proceedings of the 56th IEEE Conference on Decision and Control, Melbourne, Australia, pages 3775-3780, 2017. Keyword(s): Augmented Lagrangian, Convex optimization, Low-rank perturbation, Matrix completion problem, Method of multipliers, Non-smooth optimization, Proximal methods, Regularization, Sparsity-promoting optimal control, Structured covariances. [bibtex-entry]


  12. C. Grussler, A. Zare, M. R. Jovanovic, and A. Rantzer. The use of the $r*$ heuristic in covariance completion problems. In Proceedings of the 55th IEEE Conference on Decision and Control, Las Vegas, NV, pages 1978-1983, 2016. Keyword(s): Convex optimization, $k$-support-norm, Low-rank approximation, Matrix completion problems, Nuclear norm regularization, Structured covariances. [bibtex-entry]


  13. W. Ran, A. Zare, M. J. P. Hack, and M. R. Jovanovic. Low-complexity stochastic modeling of spatially-evolving flows. In Proceedings of the 2016 Summer Program, Center for Turbulence Research, Stanford University/NASA, pages 285-294, 2016. Keyword(s): Flow modeling and control, Low-complexity modeling, Parabolized stability equations, Spatially-evolving flows, Transition to turbulence, Turbulence modeling. [bibtex-entry]


  14. A. Zare, Y. Chen, M. R. Jovanovic, and T. T. Georgiou. An alternating minimization algorithm for structured covariance completion problems. In Proceedings of the 22nd International Symposium on Mathematical Theory of Network and Systems, Minneapolis, MN, pages 117-119, 2016. Keyword(s): Alternating minimization algorithm, Convex optimization, Disturbance dynamics, Low-rank approximation, Matrix completion problems, Nuclear norm regularization, Structured covariances. [bibtex-entry]


  15. A. Zare, M. R. Jovanovic, and T. T. Georgiou. Perturbation of system dynamics and the covariance completion problem. In Proceedings of the 55th IEEE Conference on Decision and Control, Las Vegas, NV, pages 7036-7041, 2016. Keyword(s): Convex optimization, Low-rank perturbation, Matrix completion problems, Sparsity-promoting optimal control, Structured covariances. [bibtex-entry]


  16. A. Zare, M. R. Jovanovic, and T. T. Georgiou. Alternating direction optimization algorithms for covariance completion problems. In Proceedings of the 2015 American Control Conference, Chicago, IL, pages 515-520, 2015. Keyword(s): Alternating direction method of multipliers, Alternating minimization algorithm, Convex optimization, Low-rank approximation, Matrix completion problems, Nuclear norm regularization, Structured covariances. [bibtex-entry]


  17. A. Zare, M. R. Jovanovic, and T. T. Georgiou. Completion of partially known turbulent flow statistics. In Proceedings of the 2014 American Control Conference, Portland, OR, pages 1680-1685, 2014. Note: (Invited paper; Finalist, Best Student Paper Award). Keyword(s): Alternating direction method of multipliers, Convex optimization, Flow modeling and control, Low-rank approximation, Matrix completion problems, Nuclear norm regularization, Structured covariances. [bibtex-entry]


  18. A. Zare, M. R. Jovanovic, and T. T. Georgiou. Completion of partially known turbulent flow statistics via convex optimization. In Proceedings of the 2014 Summer Program, Center for Turbulence Research, Stanford University/NASA, pages 345-354, 2014. Keyword(s): Convex optimization, Flow modeling and control, Low-rank approximation, Matrix completion problems, Nuclear norm regularization, Structured covariances. [bibtex-entry]


  19. A. Zare, B. K. Lieu, and M. R. Jovanovic. Turbulent drag reduction by streamwise traveling waves. In Proceedings of the 51th IEEE Conference on Decision and Control, Maui, HI, pages 3122-3126, 2012. Keyword(s): Drag reduction, Control of turbulent flows, Flow modeling and control, Input-output analysis, Navier-Stokes equations, Parametric resonance, Perturbation analysis, Simulation-free design, Streamwise traveling waves, Spatially-periodic systems, Vibrational control. [bibtex-entry]



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Last modified: Mon Jun 7 10:25:01 2021
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