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

    • Jan 2020: Paper accepted at American Control Conference (ACC 2020) with colleagues from MERL and Univ. Minnesota on robust estimation of airflow in buildings. Preprint forthcoming.

      • Nov 2019: Conference APS Division of Fluid Dynamics Meeting Nov 2019: 2 Talks with collaborators from MERL and Univ. Cambridge.
      • Oct 2019: New poster on LiDAR based data assimilimation.
      • 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.