Accession Number:

AD0736808

Title:

Controllability and Observability for Bilinear Systems,

Descriptive Note:

Corporate Author:

WASHINGTON UNIV ST LOUIS MO CONTROL SYSTEMS SCIENCE AND ENGINEERING

Personal Author(s):

Report Date:

1971-07-15

Pagination or Media Count:

10.0

Abstract:

Controllability and observability are discussed for control systems of the form dxdt utA vtBx, 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

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE