The Numerical and Analytic 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 differentiation formulas and guidelines for their use. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1987
Accession Number
ADA185404

Entities

People

  • Stephen L. Campbell

Organizations

  • North Carolina State University

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Algebra
  • Algorithms
  • Applied Mathematics
  • Chemical Kinetics
  • Coefficients
  • Control Theory
  • Convergence
  • Differential Equations
  • Engineering
  • Equations
  • Linear Algebra
  • Linear Systems
  • Mathematics
  • Nonlinear Differential Equations
  • North Carolina
  • Numerical Analysis
  • Partial Differential Equations

Readers

  • Calculus or Mathematical Analysis
  • Systems Analysis and Design