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Randomized system trajectories

dc.contributor.authorRoot, William L.en_US
dc.date.accessioned2006-09-11T19:45:50Z
dc.date.available2006-09-11T19:45:50Z
dc.date.issued1982-01en_US
dc.identifier.citationRoot, William L.; (1982). "Randomized system trajectories." Applied Mathematics & Optimization 8(1): 293-307. <http://hdl.handle.net/2027.42/48095>en_US
dc.identifier.issn1432-0606en_US
dc.identifier.issn0095-4616en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/48095
dc.description.abstractThe notion of system trajectory of a time-varying input-output, dynamical system is reviewed. By introducing a probability measure on a class of such systems a stochastic system, the randomized system, is defined. The randomized system has a trajectory induced by the trajectories of the original systems. A theorem is proved giving fairly general conditions under which the randomized system trajectory is generated by a strongly continuous semigroup of bounded linear operators in a Banach space. An example is presented for a system represented by a quadratic integral operator.en_US
dc.format.extent917243 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherSpringer-Verlag; Springer-Verlag New York Inc.en_US
dc.subject.otherMathematical and Computational Physicsen_US
dc.subject.otherMathematical Methods in Physicsen_US
dc.subject.otherNumerical and Computational Methodsen_US
dc.subject.otherCalculus of Variations and Optimal Controlen_US
dc.subject.otherSystems Theory, Controlen_US
dc.subject.otherMathematicsen_US
dc.subject.otherOptimizationen_US
dc.titleRandomized system trajectoriesen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumAerospace Engineering Department and Computer, Information, and Control Engineering Program, The University of Michigan, 48109, Ann Arbor, MI, USAen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/48095/1/245_2005_Article_BF01447765.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/BF01447765en_US
dc.identifier.sourceApplied Mathematics & Optimizationen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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