
Accession Number : AD0734281
Title : Realization of ContinuousTime Linear Dynamical Systems: Rigorous Theory in the Style of Schwartz,
Corporate Author : STANFORD UNIV CALIF DEPT OF OPERATIONS RESEARCH
Personal Author(s) : Kalman,R. E. ; Hautus,M. L. J.
Report Date : DEC 1971
Pagination or Media Count : 20
Abstract : The paper gives a rigorous definition of the input/output map of a linear constant dynamical system using generalized functions in the style of Schwartz. It is proved, using only natural constructions, that the minimal realization of such a system is governed by linear differential equations with constant coefficients (in the sense of Kalman). This is the first time such a result has been obtained; previous work required adhoc assumptions or lacked rigor. As a result of the theory developed in this paper, precise conditions are now known for the applicability of module theoreticmethods to the theory of continuoustime linear systems. (Author)
Descriptors : (*ADAPTIVE CONTROL SYSTEMS, MATHEMATICAL MODELS), LINEAR SYSTEMS, DIFFERENTIAL EQUATIONS, ALGEBRAIC TOPOLOGY, MAPPING(TRANSFORMATIONS), FUNCTIONAL ANALYSIS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE