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Vector Lyapunov Functions and Perturbations of Nonlinear Systems

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Vector Lyapunov Functions and Perturbations of Nonlinear Systems

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dc.contributor.author Moore, Marion E. en
dc.contributor.author Mitchell, Roger W. en
dc.date.accessioned 2010-05-26T18:28:38Z en
dc.date.available 2010-05-26T18:28:38Z en
dc.date.issued 1975-03 en
dc.identifier.uri http://hdl.handle.net/10106/2181 en
dc.description.abstract Two recent papers [2,3] have combined the techniques of the Lyapunov method and the nonlinear variation of parameters to study the effects of perturbations of nonlinear differential systems. In this paper, we generalize the results obtained in [2,3] by the use of several Lyapunov functions and the concept of a generalized norm. To convince ourselves that we do have more flexibility in working with the generalized norm and vector Lyapunov functions see [1,4]. en
dc.language.iso en_US en
dc.publisher University of Texas at Arlington en
dc.relation.ispartofseries Technical Report;23 en
dc.subject Nonlinear differential systems en
dc.subject Lyapunov method en
dc.subject Perturbations en
dc.subject Generalized norm en
dc.subject.lcsh Mathematics Research en
dc.title Vector Lyapunov Functions and Perturbations of Nonlinear Systems en
dc.type Technical Report en
dc.publisher.department Department of Mathematics en

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