# 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

# Descriptors:

# Subject Categories:

- Theoretical Mathematics