Accession Number : ADA302586

Title :   State Controllability Techniques for Linear Time-Varying Discrete Systems.

Descriptive Note : Final rept. Jan 94-Jan 95,

Corporate Author : ARMY COMMUNICATIONS-ELECTRONICS COMMAND FORT BELVOIR VA

Personal Author(s) : Matthews, Mark G.

PDF Url : ADA302586

Report Date : MAR 1995

Pagination or Media Count : 117

Abstract : This report describes the results of original research in the control of linear systems. Contributions which advance control theory are made in the areas of discretization, controllability, canonical transformation, state feedback, and stabilization. A new approach to control linear time-varying continuous systems which do not satisfy the property of lexicografixed controllability is provided. It involves the discretization of the continuous system and the selection of a sampling period to make the resulting discrete system lexicografixedly controllable in discrete time. Methods are developed to control and stabilize the resulting linear time-varying discrete system. A controllability theorem is introduced and its associated matrix derived. Finally, a state feedback technique used to asymptotically stabilize a subclass of linear time-varying discrete systems is developed. (AN)

Descriptors :   *MATHEMATICAL MODELS, *LINEAR SYSTEMS, *CONTROL THEORY, STABILIZATION, ALGORITHMS, OPTIMIZATION, COMPUTATIONS, TIME DEPENDENCE, MULTIVARIATE ANALYSIS, MATRICES(MATHEMATICS), INPUT OUTPUT PROCESSING, EIGENVALUES, MATHEMATICAL PROGRAMMING, TRANSFORMATIONS(MATHEMATICS), FEEDBACK, SAMPLING, SYSTEMS ANALYSIS, APPLIED MATHEMATICS, CLOSED LOOP SYSTEMS, ASYMPTOTIC NORMALITY.

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE