Controllability and Observability for Bilinear Systems,

Abstract

Controllability and observability are discussed for control systems of the form (*)dx/dt = (u(t)A + v(t)B)x, where u, v are piecewise constant controls. Let L be the Lie algebra generated by matrices A, B; let G be the connected matrix Lie groups determined by L; it is proved that G is the set of fundamental matrix solutions of (*), so that controllability of (*) is equivalent to the transitivity of G on the appropriate state space (n-space punctured at the origin). A list of such transitive groups is conjectured. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 15, 1971
Accession Number
AD0736808

Entities

People

  • David L. Elliott
  • Tzyh-jong Tarn

Organizations

  • University of Washington

Tags

DTIC Thesaurus Topics

  • Control Systems
  • Differential Geometry
  • Lie Groups

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Graph Algorithms and Convex Optimization.
  • Linear Algebra

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers