Theory and Application of Homotopy Techniques in Nonlinear Programming and Control Systems.

Abstract

The objective of this project was to derive global convergence theorems and practical numerical algorithms for probability-one homotopies in the area of constrained optimization, large sparse unstructured systems of nonlinear equations, H2 control design and analysis, and H^2/H infinity disturbance and rejection controls. The emphasis was on useful convergence theorems expressed in terms of conditions on the original problem rather than conditions on the derived problem. Important applications were considered as a guide to what theoretical questions should be asked.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Apr 28, 1995
Accession Number
ADA294934

Entities

People

  • Layne T. Watson

Organizations

  • Virginia Tech

Tags

Communities of Interest

  • Autonomy

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Composite Materials
  • Computer Science
  • Computer Vision
  • Computers
  • Control Systems
  • Convergence
  • Equations
  • Genetic Algorithms
  • Laminates
  • Mathematical Programming
  • Numerical Analysis
  • Optimization
  • Parallel Computing
  • Parallel Processing
  • Riccati Equation

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Oncology (Cancer Research).