Discrete-Time Nonlinear Control Systems

Discrete-time nonlinear control systems arise in many fields of science and applications. This chapter provides the main tools to analyze the stability properties of fixed points using a Lyapunov function approach. In addition, dedicated techniques for stabilizing controller design are presented, in...

Full description

Saved in:
Bibliographic Details
Published inReference Module in Materials Science and Materials Engineering
Main Authors Jungers, Marc, van de Wouw, Nathan
Format Book Chapter
LanguageEnglish
Published Elsevier Inc 2015
Subjects
Control design
Convergent system
Discrete-time systems
Lur’e-type system
Lyapunov function
Nonlinear systems
Recurrence equation
Stability
Discrete-time systems
Control design
Stability
Lur’e-type system
Recurrence equation
Nonlinear systems
Convergent system
Lyapunov function
Online AccessGet full text
ISBN9780128035818
0128035811
DOI10.1016/B978-0-443-14081-5.00172-0

Cover

Abstract Discrete-time nonlinear control systems arise in many fields of science and applications. This chapter provides the main tools to analyze the stability properties of fixed points using a Lyapunov function approach. In addition, dedicated techniques for stabilizing controller design are presented, including constructive conditions for particular systems classes (such as Lur’e-type systems and switched systems). Finally, more advanced stability-related notions for systems with inputs, such as input-to-state stability, dissipativity and convergence, are discussed.
AbstractList Discrete-time nonlinear control systems arise in many fields of science and applications. This chapter provides the main tools to analyze the stability properties of fixed points using a Lyapunov function approach. In addition, dedicated techniques for stabilizing controller design are presented, including constructive conditions for particular systems classes (such as Lur’e-type systems and switched systems). Finally, more advanced stability-related notions for systems with inputs, such as input-to-state stability, dissipativity and convergence, are discussed.
Author Jungers, Marc
van de Wouw, Nathan
Author_xml – sequence: 1
  givenname: Marc
  surname: Jungers
  fullname: Jungers, Marc
  organization: Université de Lorraine, CNRS, CRAN, Nancy, France
– sequence: 2
  givenname: Nathan
  surname: van de Wouw
  fullname: van de Wouw, Nathan
  organization: Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, the Netherlands
BookMark eNotz81KxDAUBeCACurYdyhuXGW8Nz9tstSOo8KgC7sPbXILgU4KTRF8ezujq7M4cA7fLbtMUyLG7hG2CFg9PtvacOBKSY4KDHK9BcBacLhgxdoBCgNSGzTXrMg59iAkokJV37CHXcx-poV4G49UfkxpjIm6uWymtMzTWH795IWO-Y5dDd2YqfjPDWv3L23zxg-fr-_N04GT1etxZ6ivUFQDouggSCs9-koDYZChGiwobZTuyEPQqIzUKKVWRkhrjQq93LDd3yytH9-RZpd9pOQpxJn84sIUHYI7sd2J7cCtbHdmO-3ObAfyF88cTT8
ContentType Book Chapter
Copyright 2025 Elsevier Inc.
Copyright_xml – notice: 2025 Elsevier Inc.
DOI 10.1016/B978-0-443-14081-5.00172-0
DatabaseTitleList
DeliveryMethod fulltext_linktorsrc
ExternalDocumentID B9780443140815001720
GroupedDBID AAAAS
AALRI
AATLT
AAXUO
ABGWT
ABLXK
ABQQC
AGAMA
ALMA_UNASSIGNED_HOLDINGS
CAQRL
HGY
SRW
ID FETCH-LOGICAL-e951-5a8eb6126f112a0d393c1c650e1d3d6f9045845aec0d514835133548239984db3
IEDL.DBID HGY
ISBN 9780128035818
0128035811
IngestDate Sat Jul 05 17:11:29 EDT 2025
IsPeerReviewed false
IsScholarly false
Keywords Discrete-time systems
Control design
Stability
Lur’e-type system
Recurrence equation
Nonlinear systems
Convergent system
Lyapunov function
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-e951-5a8eb6126f112a0d393c1c650e1d3d6f9045845aec0d514835133548239984db3
ParticipantIDs elsevier_sciencedirect_doi_10_1016_B978_0_443_14081_5_00172_0
PublicationCentury 2000
PublicationDate 2015
PublicationDateYYYYMMDD 2015-01-01
PublicationDate_xml – year: 2015
  text: 2015
PublicationDecade 2010
PublicationTitle Reference Module in Materials Science and Materials Engineering
PublicationYear 2015
Publisher Elsevier Inc
Publisher_xml – name: Elsevier Inc
SSID ssib023114147
Score 1.7497089
Snippet Discrete-time nonlinear control systems arise in many fields of science and applications. This chapter provides the main tools to analyze the stability...
SourceID elsevier
SourceType Publisher
SubjectTerms Control design
Convergent system
Discrete-time systems
Lur’e-type system
Lyapunov function
Nonlinear systems
Recurrence equation
Stability
Title Discrete-Time Nonlinear Control Systems
URI https://dx.doi.org/10.1016/B978-0-443-14081-5.00172-0
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV09T8MwELWqsiAWECA-CsqAxGTFbux8DCwUQsTQqUhlshLbkbIEVJX_zzsnkcrMmEhxlIt99559946xB3Ce1nlhQUt0xtXS17wQFnMZWMImy6xRbcjyXafVh3rf6u2MlVMtDKVVjr5_8OnBW4934tGa8XfXxc9BOwfxTyGq6cBlQN2PsHZT6mRQvX1O8wqvlUqqLCjqUDcmnUs5iu9M1_kkSCrTMDIXXJF4Jw3OadsFw3NxELEOolB5yk6oMiGikgFY44zNfH_OHl86rHxAX07VHNF6kL6od9FqSEKPRk3yC7YpXzerio_dD7gH6uG6zn0D-JG2QES1cEmRWGmBp7x0iUvbIpxw6tpb4QB6AKTANkE_qFY1V65JLtm8_-r9FYtaoZq89Y7aFygPikOHLSCGti5E6nJ1zZ6mrzJ_bG_gVs2UBkZWMcLAKiZYxWgTrGLEzT-fv2XHgCF62NhYsPl-9-PvEOr3zX34j7-uRJro
linkProvider Elsevier
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV09T8MwFLSqMoBYQID4JgMSk1W7sdNkYKFQApRMQSqTldiO1KWgqvx_7jmJVGbGRIqjXJz37uL3zozdQvM0zgsLWaInXI19xTNhMZfBJWw8ntSqCVW-RZJ_qNeFXgzYrO-FobLKLva3MT1E6-7MqENz9L1cjh6Cdw7yn0JW00HLQLrvKORH8tDPnz_7eYXbSiXVJDjq0G5MOpWyM9_pj9PekFQmYWQuuCLzThqc028XDM_FVsbaykKzA7ZPnQkRtQwAjUM28Ksjdve4xJcP6supmyMqWuuLah1N2yL0qPMkP2bl7Kmc5rzb_YB7sB6uq9TXoB9JA0ZUCRdnsZUWfMpLF7ukycIKp668FQ6kB0QKahPyg3pVU-Xq-IQNV18rf8qiRqg6bbyj7QuUh8ShxRYIQ1tlInGpOmP3_VOZP9gbhFXTl4ERKkYYoGICKkabgIoR5_-8_obt5uX73MxfircLtgdKotufHJdsuFn_-Cuk_U19Hd7pLyatnd0
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.title=Reference+Module+in+Materials+Science+and+Materials+Engineering&rft.au=Jungers%2C+Marc&rft.au=van+de+Wouw%2C+Nathan&rft.atitle=Discrete-Time+Nonlinear+Control+Systems&rft.date=2015-01-01&rft.pub=Elsevier+Inc&rft.isbn=9780128035818&rft_id=info:doi/10.1016%2FB978-0-443-14081-5.00172-0&rft.externalDocID=B9780443140815001720
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=9780128035818/lc.gif&client=summon&freeimage=true
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=9780128035818/mc.gif&client=summon&freeimage=true
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=9780128035818/sc.gif&client=summon&freeimage=true