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Accession Number ADA586605
Title Fixed-Point Theory of Strictly Causal Functions.
Publication Date Jun 2013
Media Count 68p
Personal Author E. Matsikoudis E. A. Lee
Abstract We ask whether strictly causal components form well defined systems when arranged in feedback configurations. The standard interpretation for such configurations induces a xed-point constraint on the function modelling the component involved. We define strictly causal functions formally, and show that the corresponding xed-point problem does not always have a well defined solution. We examine the relationship between these functions and the functions that are strictly contracting with respect to a generalized distance function on signals, and argue that these strictly contracting functions are actually the functions that one ought to be interested in. We prove a constructive xed- point theorem for these functions, introduce a corresponding induction principle, and study the related convergence process.
Keywords Configurations
Functions(Mathematics)


 
Source Agency Non Paid ADAS
NTIS Subject Category 72B - Algebra, Analysis, Geometry, & Mathematical Logic
Corporate Author California Univ., Berkeley. Dept. of Electrical Engineering and Computer Science.
Document Type Technical report
Title Note Technical rept.
NTIS Issue Number 1405
Contract Number N0013-12-1-G015

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