Dynamical Systems Lab

Dynamical Systems Lab


Areas of Research

Dynamical Systems theory, control and optimization:

  • Geometric and topological methods in dynamical systems
  • Operator theoretic methods (Perron-Frobenius/Koopman) for analysis and control
  • Continuum approach to multi-agent system control and decision making (Mean-field control and mean-field games, Optimal Transport)

Applications to:

  • Large-scale multi-agent systems (swarm robotics, traffic)
  • Microfluidics and active fluids (chaotic mixing, topological chaos, flow control)
  • Metamaterial design (Energy transfers in nonlinear media)
  • Atmospheric Flows (Reduced-order modeling , LiDAR data-assimilation)
  • Astrodynamics (Low-energy space mission design)
  • Buoyancy driven flow in built environment (control of HVAC)

Dynamical Systems Lab (DSL), led by Prof. Piyush Grover in Mechanical and Materials Engineering (MME) at University of Nebraska-Lincoln, focusses on developing analysis, control and optimization methods for nonlinear dynamical systems, and their application to several areas including large-scale multi-agent robotics, fluid mechanics, structural mechanics/nonlinear vibration and astrodynamics. Dynamical systems and control theory provides a strong foundation for tackling problems in (solid/fluid/bio) mechanics, and robotics, among other areas.

Updates

    • Oct 2019: A new postdoctoral position is available. See ad here.

      • Sept 2019: New paper with colleagues from MERL and Univ. Cambridge on optimal control of airflow in buildings. See Preprint.
      • Workshop July 8-10, 2019: Particulate and Granular Networks, Max Planck Institute for Physics of Complex Systems, Dresden, Germany
      • Workshop June 3-7, 2019: Crowds: Models and Control workshop, CIRM, Marseille, France
      • Conference May 19-23, 2019: SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah                                                                                                       Presented a talk on MFG based flocking models and their stability analysis.
      • Conference Nov 18-20, 2018: APS Division of Fluids Dynamics Annual Meeting, Atlanta, GA