Viable and Monotone Trajectories of Differential Inclusions.

Abstract

This paper begins with an exposition of results of Haddad on the solvability of differential inclusion (in which the rate of change x(dot) of the state variable x is restricted to lie in a specified at F(x) and is not given exactly) for a solution x with x(t) epsilon K for t greater than or = 0 and K a specified set of 'viable states'. Problems of this sort arise naturally in control theory and economics. A main point is the generality of the assumptions under which the theory is successful. Results on monotone trajectories and the convergence of a generalized Newton method to a rest state are also presented. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1980
Accession Number
ADA086382

Entities

People

  • Jean-pierre Aubin

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Classification
  • Convergence
  • Differential Equations
  • Equations
  • Functional Analysis
  • Heuristic Methods
  • Hilbert Space
  • Inclusions
  • Mathematical Analysis
  • Mathematics
  • North Carolina
  • Observation
  • Sequences
  • Stationary
  • Theorems
  • United States

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Linear Algebra
  • Theoretical Analysis.