Accession Number : ADA185531

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

Descriptive Note : Final rept. 16 Jul 84-15 Jan 87,

Corporate Author : NORTH CAROLINA UNIV AT CHAPEL HILL DEPT OF MATHEMATICS

Personal Author(s) : Campbell, Stephen L

PDF Url : ADA185531

Report Date : 15 Jan 1987

Pagination or Media Count : 15

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.

Descriptors :   *DIFFERENTIAL EQUATIONS, *NUMERICAL ANALYSIS, ALGORITHMS, CIRCUITS, CONTROL, SOLUTIONS(GENERAL), THEOREMS, TIME, APPLIED MATHEMATICS, PROBLEM SOLVING, LINEARITY

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE