Accession Number:

AD0673959

Title:

CONTROLLED AND CONDITIONED INVARIANT SUBSPACES IN LINEAR SYSTEM THEORY.

Descriptive Note:

Technical rept. Jun-Jul 68,

Corporate Author:

CALIFORNIA UNIV BERKELEY DIV OF APPLIED MECHANICS

Personal Author(s):

Report Date:

1968-07-01

Pagination or Media Count:

21.0

Abstract:

The concept of invariance of a subspace under a linear transformation is strongly connected with controllability and observability problems of linear dynamical systems. In this paper we define controlled and conditioned invariant subspaces as a generalization of the simple invariants, for the purpose of investigating some further structural properties of linear systems. Moreover, we prove some fundamental theorems on which the computation of the above mentioned subspaces is based. Then we give two examples of practical application of the previously defined concepts concerning the determination of the constant output and perfect output controllability subspaces. Author

Subject Categories:

  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE