Non-Linear Systems in Infinite Dimensional State Spaces.

Abstract

The research in this effort has been directed into two main research areas -- nonlinear distributed parameter control systems, and nonlinear continuum dynamics with an emphasis on phase transitions. In the first year, the investigator has formulated a theory of feedback stabilization of a one dimensional string using non-local 'pseudo-punctual' magnetic controls. In the second area, work has centered on materials exhibiting first order phase transitions. This should provide a unified theory of dynamic phase transitions and their numerical computation. Ten papers were prepared for presentation or publication during this period. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1984
Accession Number
ADA145828

Entities

People

  • M. Slemrod

Organizations

  • Rensselaer Polytechnic Institute

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Applied Mathematics
  • Computations
  • Continuum Mechanics
  • Control Systems
  • Digital Computers
  • Dynamics
  • Equations
  • Equations Of State
  • Feedback
  • Functional Analysis
  • Linear Systems
  • Materials
  • Mathematics
  • Mechanics
  • Phase Transformations
  • Transitions

Fields of Study

  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Clinical Trial Research.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers