Accession Number : ADA556798


Title :   Inverse Problems for Nonlinear Delay Systems


Corporate Author : NORTH CAROLINA STATE UNIV AT RALEIGH CENTER FOR RESEARCH IN SCIENTIFIC COMPUTATION


Personal Author(s) : Banks, H T ; Rehm, Keri ; Sutton, Karyn


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a556798.pdf


Report Date : 15 Mar 2011


Pagination or Media Count : 32


Abstract : We consider inverse or parameter estimation problems for general nonlinear nonautonomous dynamical systems with delays. The parameters may be from a Euclidean set as usual, may be time dependent coefficients or may be probability distributions across a population as arise in aggregate data problems. Theoretical convergence results for finite dimensional approximations to the systems are given. Several examples are used to illustrate the ideas and computational results that demonstrate efficacy of the approximations are presented.


Descriptors :   *INVERSE PROBLEMS , AGGREGATES(MATERIALS) , APPROXIMATION(MATHEMATICS) , COEFFICIENTS , FINITE DIFFERENCE THEORY , NONLINEAR SYSTEMS , PROBABILITY DISTRIBUTION FUNCTIONS , SIZES(DIMENSIONS) , TIME DEPENDENCE , UNCERTAINTY


Subject Categories : Theoretical Mathematics


Distribution Statement : APPROVED FOR PUBLIC RELEASE