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) : Youla,Donte C.

Report Date : FEB 1967

Pagination or Media Count : 29

Abstract : The paper is addressed to several problems of synthesis associated with a linear system possessing the dynamical description: (1) X(t) = F(t)x(t) + G(t)u(t), (2) y(t) = H(t)x(t), where x(t) is a state-vector (real n-vector), y(t) is the output (real r-vector), u(t) is the input (real p-vector), F(t) is an n X n real matrix, G(t) is a real n X p matrix, and H(t) 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 u(t). In the model the output y(t) is a function of the 'present' state x(t). To avoid unessential complications it is assumed from the outset that all entries in the three matrices F(t), G(t) and H(t) are square-integrable (and hence integrable) over any finite interval of time. (Author)

Descriptors :   (*CONTROL SYSTEMS, THEORY), (*LINEAR SYSTEMS, SYNTHESIS), MATRICES(MATHEMATICS), NETWORKS, INTEGRAL TRANSFORMS, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE