On the stability analysis of hybrid composite dynamical systems

dc.contributor.author Mousa, Mohsen
dc.contributor.department Mathematics
dc.date 2018-08-15T06:54:43.000
dc.date.accessioned 2020-07-02T06:05:51Z
dc.date.available 2020-07-02T06:05:51Z
dc.date.copyright Wed Jan 01 00:00:00 UTC 1986
dc.date.issued 1986
dc.description.abstract <p>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.</p>
dc.format.mimetype application/pdf
dc.identifier archive/lib.dr.iastate.edu/rtd/8276/
dc.identifier.articleid 9275
dc.identifier.contextkey 6331113
dc.identifier.doi https://doi.org/10.31274/rtd-180813-7905
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath rtd/8276
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/81246
dc.language.iso en
dc.source.bitstream archive/lib.dr.iastate.edu/rtd/8276/r_8703735.pdf|||Sat Jan 15 02:09:00 UTC 2022
dc.subject.disciplines Mathematics
dc.subject.keywords Mathematics
dc.title On the stability analysis of hybrid composite dynamical systems
dc.type article
dc.type.genre dissertation
dspace.entity.type Publication
relation.isOrgUnitOfPublication 82295b2b-0f85-4929-9659-075c93e82c48
thesis.degree.level dissertation
thesis.degree.name Doctor of Philosophy
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