Degree Type

Dissertation

Date of Award

1986

Degree Name

Doctor of Philosophy

Department

Mathematics

Abstract

In this dissertation, we study the stability of hybrid composite dynamical systems. Such systems are composite systems consisting of a plant which is described by an input-output representation and a controller which is described by a state space representation;The plant is described by an operator (usually a differential equation or a partial differential equation). The controller may be a continuous time system or a discrete time system. In the continuous time case the controller is described by a set of ordinary differential equations, while in the discrete time case the controller is described by a set of difference equations. The latter case is of great importance since modern control systems are often computer controlled systems;We establish results for the well-posedness, attractivity, asymptotic stability in the large and exponential stability in the large for both continuous and discrete time cases. The applicability of our results is demonstrated by examples.

DOI

https://doi.org/10.31274/rtd-180813-7905

Publisher

Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/

Copyright Owner

Mohsen Salah Mousa

Language

en

Proquest ID

AAI8703735

File Format

application/pdf

File Size

154 pages

Included in

Mathematics Commons

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