Accession Number : AD0600056

Title :   A FUNCTIONAL DECOMPOSITION FOR LINEAR DISCRETE SYSTEMS,

Corporate Author : MICHIGAN UNIV ANN ARBOR INST OF SCIENCE AND TECHNOLOGY

Personal Author(s) : PORTER,W. A.

Report Date : MAY 1964

Pagination or Media Count : 13

Abstract : The linear difference equation delta sub k y(t sub k) = A(t sub k)y(t sub k) + B(t sub k) u(t sub k) y(t sub o) = y (o) is reduced to a canonical operator theoretic form. This representation consists of a parameterized family of bounded linear transformations into a cartesian product of the underlying scalar field. It gives immediate results for the minimum energy control problem.

Descriptors :   (*FUNCTIONAL ANALYSIS, LINEAR SYSTEMS), (*DIFFERENCE EQUATIONS, MATHEMATICAL MODELS), NAVIGATION, CONTROL SYSTEMS, DIFFERENTIAL EQUATIONS, TOPOLOGY, THEORY

Distribution Statement : APPROVED FOR PUBLIC RELEASE