
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 statevector (real nvector), y(t) is the output (real rvector), u(t) is the input (real pvector), 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 squareintegrable (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