Nonlinear Dynamics and Ergodic Theory Methods in Control

Abstract

We have continued to work on control of complex nonlinear systems and pursued applications to control of mixing, control of nanoscale processes and control of microscale mixing. At the Pi's group, 1 graduate student (Umesh Vaidya) was working on the problem of control of discrete-time, conservative systems and quantum control. Another student (Zoran Levnajic%) worked on problems in visualization of dynamical systems. A postdoctoral student (Dmitri Vainchtein) continued working on the problem of flow control using tools from dynamical systems theory and vortex dynamics and pursued a problem in control of nanopartical separation. The PI worked on ergodic theory methods for control of systems with drift and optimization of mixing in a paper appeared in the journal Nature. The PI also worked extending the framework for model validation of Random Dynamical Systems in the framework of the Koopman operator developed into dynamical systems treatment of uncertainty analysis.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2003
Accession Number
ADA418975

Entities

People

  • Igor Mezić

Organizations

  • Harvard University

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Applied Mathematics
  • Combustion
  • Combustion Chambers
  • Computational Fluid Dynamics
  • Control Theory
  • Dynamics
  • Equations
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Hypervelocity Flow
  • Incompressible Flow
  • Laser Induced Fluorescence
  • Nonlinear Dynamics
  • Nonlinear Systems
  • Three Dimensional
  • Two Dimensional

Readers

  • Mathematical Modeling and Probability Theory.
  • Research Science/Academic Research
  • Robotics and Automation.

Technology Areas

  • Quantum Computing