Accession Number : AD0623488

Title :   EXPONENTIAL DESCRIBING FUNCTIONS FOR THE ANALYSIS OF TRANSIENT PHENOMENA.

Descriptive Note : Technical rept.,

Corporate Author : SYRACUSE UNIV N Y DEPT OF ELECTRICAL ENGINEERING

Personal Author(s) : Bickart,Theodore A.

Report Date : OCT 1965

Pagination or Media Count : 36

Abstract : Essentially bounded, square integrable functions over the infinite past are represented by growing exponentials. The memory of a system is associated with the signal representation. The system operation is then characterized by an algebraic input-output relationship. A generic feedback system is treated in detail. The contraction-mapping fixed-point theorem is used to develop conditions for the existence of a solution prior to establishing the approximating system. The concept of practical ultimate boundedness is given as a tool to enlarge the class of systems open to analysis. (Author)

Descriptors :   (*TRANSIENTS, MATHEMATICAL ANALYSIS), (*FUNCTIONAL ANALYSIS, MAPPING(TRANSFORMATIONS)), NETWORKS, CIRCUITS, FEEDBACK, ALGEBRA, SPECIAL FUNCTIONS(MATHEMATICAL)

Distribution Statement : APPROVED FOR PUBLIC RELEASE