EXPONENTIAL DESCRIBING FUNCTIONS FOR THE ANALYSIS OF TRANSIENT PHENOMENA.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1965
- Accession Number
- AD0623488
Entities
People
- Theodore A. Bickart
Organizations
- Syracuse University