Integral Manifolds of Slow Adaptation (Adaptive Control, Method of Averaging)

A three-step procedure for the analysis of slowly adapting systems is presented. First, conditions are given for the existence of an integral manifold upon which the slow adaptation occurs in either continuous or discrete time. Second, conditions are derived under which this integral manifold is exponentially attractive. Third, the behavior on the manifold is analyzed via the method of averaging. In the process of developing the discrete-time part of these results, the relationship between the method of averaging for deterministic signals and the ordinary differential equation approach to the study of stochastic adaptive systems is clarified.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Electrical Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2014

Author dc:creator

• Riedle, Bradley Dean

• Engineering, Electronics and Electrical

Identifier

(UMI)AAI8701598

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/69348