Accession Number : AD0734281

Title :   Realization of Continuous-Time 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 ad-hoc assumptions or lacked rigor. As a result of the theory developed in this paper, precise conditions are now known for the applicability of module theoretic-methods to the theory of continuous-time 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