Computation of invariant sets for discrete-time uncertain systems

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dc.contributor.authorKhalife, Elias
dc.contributor.authorAbou Jaoude, Dany
dc.contributor.authorFarhood, Mazen
dc.contributor.authorGaroche, Pierre Loïc
dc.contributor.departmentDepartment of Mechanical Engineering
dc.contributor.facultyMaroun Semaan Faculty of Engineering and Architecture (MSFEA)
dc.contributor.institutionAmerican University of Beirut
dc.date.accessioned2025-01-24T11:33:38Z
dc.date.available2025-01-24T11:33:38Z
dc.date.issued2023
dc.description.abstractThis article proposes novel methods for the computation of state and output bounding sets for discrete-time uncertain systems. The systems under consideration are formed from the interconnection of a nominal linear time-invariant system and an uncertainty operator that is known to lie within a prespecified set. The set of allowable uncertainties is described by a pointwise integral quadratic constraint (IQC), that is, a quadratic constraint that holds for all time-steps. Examples of pointwise IQCs characterizing common uncertainty sets are provided. The exogenous input to the system is assumed to lie in a given polytope or ellipsoid for all time-steps. The proposed methods are illustrated via an example. © 2023 John Wiley & Sons Ltd.
dc.identifier.doihttps://doi.org/10.1002/rnc.6834
dc.identifier.eid2-s2.0-85162904422
dc.identifier.urihttp://hdl.handle.net/10938/28012
dc.language.isoen
dc.publisherJohn Wiley and Sons Ltd
dc.relation.ispartofInternational Journal of Robust and Nonlinear Control
dc.sourceScopus
dc.subjectDiscrete-time uncertain systems
dc.subjectEllipsoidal invariants
dc.subjectIntegral quadratic constraints
dc.subjectS-procedure
dc.subjectInvariance
dc.subjectTime varying control systems
dc.subjectUncertain systems
dc.subjectEllipsoidal invariant
dc.subjectIntegral-quadratic constraints
dc.subjectInvariant set
dc.subjectLinear time-invariant system
dc.subjectNovel methods
dc.subjectPoint wise
dc.subjectS-procedures
dc.subjectTime step
dc.subjectUncertainty
dc.titleComputation of invariant sets for discrete-time uncertain systems
dc.typeArticle

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