Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems.

Abstract

This paper develops a condition for stability of the solution set of a system of nonlinear inequalities over a closed convex set in a Banach space, when the functions defining the inequalities are subjected to small perturbations. The condition involves the linearization of the system about a point; it is shown to be sufficient and, under weak additional hypotheses, also necessary for stability. Quantitative estimates for the changes in the solution set are obtained. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 27, 1974
Accession Number
ADA000547

Entities

People

  • Stephen M. Robinson

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Convex Sets
  • Hypotheses
  • Inequalities
  • Mathematical Analysis
  • Mathematics
  • Nonlinear Systems
  • Perturbations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis

Technology Areas

  • Space