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

Sept 2019: New paper with colleagues from MERL and Univ. Cambridge on optimal control of airflow in buildings. See Preprint.

August 2019: DSL is established. We are looking for undergraduate and graduate students to join the lab.

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