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A class of input/output random systems
Descriptive
TitleInfo
Title
A class of input/output random systems
SubTitle
monotonicity and a small-gain theorem
Name
(type = personal)
NamePart
(type = family)
Marcondes de Freitas
NamePart
(type = given)
Michael
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Michael Marcondes de Freitas
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author
Name
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Sontag
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Eduardo D
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Eduardo D Sontag
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Advisory Committee
Role
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chair
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Ocone
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(type = given)
Daniel L
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Daniel L Ocone
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Advisory Committee
Role
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internal member
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Mischaikow
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Konstantin
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Konstantin Mischaikow
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Advisory Committee
Role
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internal member
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Wang
NamePart
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Yuan
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Yuan Wang
Affiliation
Advisory Committee
Role
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outside member
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Rutgers University
Role
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degree grantor
Name
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Graduate School - New Brunswick
Role
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school
TypeOfResource
Text
Genre
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theses
OriginInfo
DateCreated
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2014
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2014-10
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2014
Place
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xx
Language
LanguageTerm
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(type = code)
eng
Abstract
(type = abstract)
We expand upon the theory of random dynamical systems (RDS) of L. Arnold, developing a theory of random dynamical systems with inputs and outputs (RDSIO)—an abstract framework for the treatment of noise-driven systems subject to stochastic inputs and yielding random outputs. This development allows for one to study both autonomous RDS and proper RDSIO as the feedback interconnection of smaller random input/output modules. As “proof of concept,” we prove a small-gain theorem for autonomous RDS which can be realized as the feedback interconnection of monotone RDSI with monotone or anti-monotone outputs. This result gives sufficient conditions for autonomous RDS to possess unique, globally attracting equilibria—the RDS in question need not be itself monotone.
Subject
(authority = RUETD)
Topic
Mathematics
Subject
(authority = ETD-LCSH)
Topic
Random dynamical systems
Subject
(authority = ETD-LCSH)
Topic
Monotonic functions
RelatedItem
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TitleInfo
Title
Rutgers University Electronic Theses and Dissertations
Identifier
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ETD
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ETD_5795
PhysicalDescription
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electronic resource
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application/pdf
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text/xml
Extent
1 online resource (ix, 208 p. : ill.)
Note
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Ph.D.
Note
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Includes bibliographical references
Note
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by Michael Marcondes de Freitas
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TitleInfo
Title
Graduate School - New Brunswick Electronic Theses and Dissertations
Identifier
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rucore19991600001
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NjNbRU
Identifier
(type = doi)
doi:10.7282/T36W98RH
Genre
(authority = ExL-Esploro)
ETD doctoral
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Rights
RightsDeclaration
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The author owns the copyright to this work.
RightsHolder
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Name
FamilyName
Marcondes de Freitas
GivenName
Michael
Role
Copyright Holder
RightsEvent
Type
Permission or license
DateTime
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(qualifier = exact);
(point = start)
2014-08-25 12:28:52
AssociatedEntity
Name
Michael Marcondes de Freitas
Role
Copyright holder
Affiliation
Rutgers University. Graduate School - New Brunswick
AssociatedObject
Type
License
Name
Author Agreement License
Detail
I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
RightsEvent
DateTime
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(qualifier = exact);
(point = start)
2014-10-31
DateTime
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2016-10-30
Type
Embargo
Detail
Access to this PDF has been restricted at the author's request. It will be publicly available after October 30th, 2016.
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
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Technical
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windows xp
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