Accession Number:

AD0649128

Title:

THE SYNTHESIS OF LINEAR DYNAMICAL SYSTEMS FROM PRESCRIBED WEIGHTING PATTERNS.

Descriptive Note:

Special paper,

Corporate Author:

POLYTECHNIC INST OF BROOKLYN N Y

Personal Author(s):

Report Date:

1967-02-01

Pagination or Media Count:

29.0

Abstract:

The paper is addressed to several problems of synthesis associated with a linear system possessing the dynamical description 1 Xt Ftxt Gtut, 2 yt Htxt, where xt is a state-vector real n-vector, yt is the output real r-vector, ut is the input real p-vector, Ft is an n X n real matrix, Gt is a real n X p matrix, and Ht is a real r X n matrix. The state summarizes the evolution of the system in time. This evolution is affected by past history and the input stimulus ut. In the model the output yt is a function of the present state xt. To avoid unessential complications it is assumed from the outset that all entries in the three matrices Ft, Gt and Ht are square-integrable and hence integrable over any finite interval of time. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE