Townley, Stuart (1987) Robustness of infinite dimensional systems. PhD thesis, University of Warwick.

Preview	PDF WRAP_THESIS_Townley_1987.pdf - Requires a PDF viewer. Download (4Mb)
	Other (Permission e-mail) FW__Digitsiation_of_your_PhD_Thesis.msg Embargoed item. Restricted access to Repository staff only Download (24Kb)

Request Changes to record.

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.

Item Type:	Thesis (PhD)
Subjects:	Q Science > QA Mathematics
Library of Congress Subject Headings (LCSH):	Robust control, Linear systems, Stability, Perturbation (Mathematics)
Official Date:	February 1987
Dates:	Date Event February 1987 Submitted
Institution:	University of Warwick
Theses Department:	Mathematics Institute
Thesis Type:	PhD
Publication Status:	Unpublished
Supervisor(s)/Advisor:	Pritchard, A. J.
Sponsors:	Science and Engineering Research Council (Great Britain) (SERC)
Extent:	164 leaves
Language:	eng

Request changes or add full text files to a record

Repository staff actions (login required)

View Item