Linear Algebra Methods for the Control of Multidimensional Systems

Mohamed, Fatma H Sh

Mohamed F 2018.pdf (1016.Kb)

Access Status

Open access

Authors

Mohamed, Fatma H Sh

Date

2018

Supervisor

Lorenzo Ntogramatzidis

Type

Thesis

Award

PhD

Metadata

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Faculty

Science and Engineering

School

School of Electrical Engineering, Computing and Mathematical Sciences

URI

http://hdl.handle.net/20.500.11937/76047

Collection

Curtin Theses

Abstract

The purpose of the thesis is to develop a comprehensive theory of the geometric control for N-dimensional systems. Two possible representations and their structural invariance properties of 2-D systems will be considered and generalised to the N-dimensional case: the Fornasini-Marchesini first order model and Fornasini-Marchesini second order model. In addition, necessary and sufficient conditions for the existence of solutions for the implicit 2-D Fornasini-Marchesini models will be provided, and generalised to the N-dimensional case.