Accession Number : AD0690489

Title :   A STABILITY STUDY OF THE EQUILIBRIUM STATES OF A FEEDBACK SHIFT REGISTER OVER THE REAL FIELD.

Descriptive Note : Technical rept.,

Corporate Author : NOTRE DAME UNIV IND COLL OF ENGINEERING

Personal Author(s) : Weaver,H. Joseph , Jr

Report Date : JUN 1969

Pagination or Media Count : 125

Abstract : The work studies the stability behavior of a class of autonomous discrete time systems. It is concerned with two main problems. First is the resolution of stability of an equilibrium state in the sense of Liapunov. Several theorems are presented which make it possible to determine if the equilibrium state of an autonomous discrete time system is stable. Second is the study of the stability and boundedness domains of these discrete time systems. To date, it is not possible to determine the exact equation of these domains, but several theorems are presented which give topological properties they possess. A technique is also presented which allows the approximation of the stability domain by an iteration process. (Author)

Descriptors :   (*SHIFT REGISTERS, STABILITY), (*CONTROL SYSTEMS, STABILITY), TRANSFORMATIONS(MATHEMATICS), DIFFERENTIAL EQUATIONS, NUMERICAL ANALYSIS, TOPOLOGY, FEEDBACK, THEOREMS, THESES

Subject Categories : Theoretical Mathematics
      Computer Hardware

Distribution Statement : APPROVED FOR PUBLIC RELEASE