Mezić Research Group

Dynamical Systems and Nonlinear Control Theory

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Dr. Igor Mezić

Principal Investigator

igormezic

Professor of Mechanical Engineering

 

Research Overview

General Research

Our research is centered around operator-theoretic approach to analysis of nonlinear dynamical systems, applications in microfluidics and (bio)-nanotechnology.

Research Interests:

  • Mixing and separation in fluids across the scales with applications ranging from microfluidic phenomena to oceanographic flows.
  • Nano and micro-scale particle dynamics induced by dielectrophoresis and other electrokinetic phenomena, with applications to biotechnology.
  • Multiscale dynamics of the Atomic Force Microscope, including interactions with biomolecules.
  • Dynamical systems theory of complex systems, including large-scale networked systems.
In each of these topics, the research is characterized by pursuit of the key physical phenomena in a device or system followed by the abstraction of the mathematical problem (or problems) associated with it. We close the loop by applying the solution of the mathematical problem to explain the physical phenomena or design new concepts based on which devices can be built or improved.
 

SIAM Snowbird 2009 Plenary

At SIAM Conference on Applications of Dynamical Systems, Snowbird, 2009, Dr. Igor Mezic presented a plenary talk on analysis of large-scale interconnected dynamical systems. For PDF download, please click on the "Scribd" logo and then on the Download button that appears [pdf]. Text of the talk is available at the following link [pdf].
 

CEED Presentation

Presentation of the Center for Energy Efficiency Design. Click on the left/right side of the slide to scroll the presentation, or select "Full Screen".