The Numerical and Analytic Analysis of Implicit Differential Equations and Their Application to Control and Circuit Problems.

Abstract

Results on the numerical and analytic solution of implicit systems of differential equations and their application to circuit and control problems were developed. In particular, the first general algorithm for the linear time varying case was developed along with an analysis of how to apply it to certain control problems. New structure theorems provide insight on the convergence of backward formulas and guidelines for their use.

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Document Details

Document Type
Technical Report
Publication Date
Jan 15, 1987
Accession Number
ADA185531

Entities

People

  • Stephen L. Campbell

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Algebra
  • Applied Mathematics
  • Chemical Kinetics
  • Classification
  • Control Theory
  • Corporations
  • Differential Equations
  • Engineering
  • Equations
  • Linear Algebra
  • Linear Systems
  • Mathematics
  • Nonlinear Differential Equations
  • North Carolina
  • Numerical Analysis
  • Partial Differential Equations
  • Security

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Calculus or Mathematical Analysis