Accession Number : ADA294934

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

Descriptive Note : Final rept. 1 May 94-30 Apr 95,

Corporate Author : VIRGINIA POLYTECHNIC INST AND STATE UNIV BLACKSBURG

Personal Author(s) : Watson, Layne T.

PDF Url : ADA294934

Report Date : 28 APR 1995

Pagination or Media Count : 8

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.

Descriptors :   *CONTROL SYSTEMS, *ALGEBRAIC TOPOLOGY, *NONLINEAR PROGRAMMING, ALGORITHMS, GLOBAL, OPTIMIZATION, CONVERGENCE, NONLINEAR ALGEBRAIC EQUATIONS, REJECTION, THEOREMS.

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE