Use this URL to cite or link to this record in EThOS: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.383399
Title: Robustness of infinite dimensional systems
Author: Townley, Stuart
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 1987
Availability of Full Text:
Access through EThOS:
Access through Institution:
Abstract:
The results contained within this thesis concern an abstract framework for a robustness analysis of exponential stability of infinite dimensional systems. The abstract analysis relies on the strong relationship between exponential stability and L2-stability which exists for many classes of linear systems. In Chapter 1a "stability radius", for systems governed by semigroups, is developed, for a class of "structured" perturbations of its generator. The abstract theory is illustrated by examples of perturbations of the boundary data for homogeneous boundary value problems and also perturbations arising due to neglected delay terms in differential delay equations. In Chapter 2a related problem of a non standard linear quadratic problem is studied, which leads to a stability analysis for certain nonlinear systems. In Chapter 3 an abstract L2-stability theory is developed and then applied to integrodifferential equations and time-varying systems, to investigate the robustness of exponential stability of such systems.
Supervisor: Not available Sponsor: Science and Engineering Research Council (Great Britain) (SERC)
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.383399  DOI: Not available
Keywords: QA Mathematics Automatic control Control theory Mathematics
Share: