Invariance of the Approximately Reachable Set under Nonlinear Perturbations

Abstract

Consider a linear control system of the form: first derivative of x with respect to time = Ax + B(u). The approximately reachable set is the closure (in the state space X) of K(sub o) := {x(T) : u is a member of the set U (sub ad)}. The authors consider perturbation by a nonlinearity giving: first derivative of x with respect to time = Ax + F(x) + B(u) and ask when the corresponding K-bar(sub F) is the same as K-bar(sub o). The concern is to reduce this to an analysis of the relation to K(sub o) of K(sub g), obtained from an affine perturbation: first derivative of x with respect to time = Ax + g + B(u), for g is a member of the set G.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1986
Accession Number
ADA444379

Entities

People

  • Koichiro Naito
  • Thomas I. Seidman

Organizations

  • University of Maryland

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Control Systems
  • Information Operations
  • Information Science
  • Invariance
  • Maryland
  • Mathematical Analysis
  • Mathematics
  • Numerical Analysis
  • Perturbations
  • Standards
  • Universities

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Fluid Dynamics.

Technology Areas

  • Space