Rest Point Theorems for Autonomous Control Systems.

Abstract

The classical Poincare-Bendixson theory in the plane is generalized to multivalued vector fields. For control systems x = f(x, u) where the state x is in R(n) subset and the control u is valued in a compact subset of R(m) we study the existence (and nonexistence) of rest states. Some special emphasis is focused on the case n = 2.

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1975
Accession Number
ADA020731

Entities

People

  • M. L. J. Hautus
  • Michael Heymann
  • Ronald J. Stern

Organizations

  • University of Florida

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Control Systems
  • Geometry
  • Point Theorem

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Graph Algorithms and Convex Optimization.