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Induced Convolution Operator Norms of Linear Dynamical Systems

dc.contributor.authorWilson, David A.en_US
dc.contributor.authorHaddad, Wassim M.en_US
dc.contributor.authorChellaboina, Vijay Sekharen_US
dc.contributor.authorBernstein, Dennis S.en_US
dc.date.accessioned2006-09-08T19:43:13Z
dc.date.available2006-09-08T19:43:13Z
dc.date.issued2000-09en_US
dc.identifier.citationChellaboina, VijaySekhar; Haddad, Wassim M.; Bernstein, Dennis S.; Wilson, David A.; (2000). "Induced Convolution Operator Norms of Linear Dynamical Systems." Mathematics of Control, Signals, and Systems 13(3): 216-239. <http://hdl.handle.net/2027.42/41865>en_US
dc.identifier.issn0932-4194en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/41865
dc.description.abstractIn this paper we develop explicit formulas for induced convolution operator norms and their bounds. These results generalize established induced operator norms for linear dynamical systems with various classes of input–output signal pairs.en_US
dc.format.extent247065 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherSpringer-Verlag London Limiteden_US
dc.subject.otherKey Words. Convolution Operators, Hankel Operators, Induced Norms, Mixed-induced Norms, Bounded Energy Signals, Bounded Amplitude Signals, H∞ Norm, L1 Norm.en_US
dc.subject.otherLegacyen_US
dc.titleInduced Convolution Operator Norms of Linear Dynamical Systemsen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Aerospace Engineering, The University of Michigan, Ann Arbor, Michigan 48109-2140, U.S.A. dsbaero@umich.edu., USen_US
dc.contributor.affiliationotherDepartment of Electronic and Electrical Engineering, The University of Leeds, Leeds LS2 9JT, England. daw@elec-eng.leeds.ac.uk., GBen_US
dc.contributor.affiliationotherMechanical and Aerospace Engineering, University of Missouri–Columbia, Columbia, Missouri 65211-2200, U.S.A. ChellaboinaV@missouri.edu., USen_US
dc.contributor.affiliationotherSchool of Aerospace Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0150, U.S.A. wm.haddad@aerospace.gatech.edu., USen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/41865/1/498-13-3-216_00130216.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/PL00009868en_US
dc.identifier.sourceMathematics of Control, Signals, and Systemsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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