Show simple item record

dc.contributor.authorEdalatzadeh, M. Sajjad
dc.contributor.authorMorris, Kirsten 20:31:40 (GMT) 20:31:40 (GMT)
dc.description© 2018 IEEE.Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes,creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.en
dc.description.abstractRailway tracks rest on a foundation known for exhibiting nonlinear viscoelastic behavior. Railway track deflections are modeled by a semilinear partial differential equation. This paper studies the stability of solutions to this equation in presence of an input. With the aid of a suitable Lyapunov function, existence and exponential stability of classical solutions is established for certain inputs. The Lyapunov function is further used to find an a-priori estimate of the solutions, and also to study the input-to-state stability (ISS) of mild solutions.en
dc.publisherInstitute of Electrical and Electronics Engineersen
dc.subjectAsymptotic stabilityen
dc.subjectDistributed parameter systemsen
dc.subjectflexible structuresen
dc.subjectLyapunov methodsen
dc.subjectinput-to-state stabilityen
dc.subjectMathematical modelen
dc.subjectnonlinear systemsen
dc.subjectpartial differential equationsen
dc.subjectRail transportationen
dc.subjectStability criteriaen
dc.titleStability and Well-posedness of a Nonlinear Railway Track Modelen
dcterms.bibliographicCitationEdalatzadeh, M. S., & Morris, K. A. (2018). Stability and Well-posedness of a Nonlinear Railway Track Model. IEEE Control Systems Letters, 1–1.
uws.contributor.affiliation1Faculty of Mathematicsen
uws.contributor.affiliation2Applied Mathematicsen

Files in this item


This item appears in the following Collection(s)

Show simple item record


University of Waterloo Library
200 University Avenue West
Waterloo, Ontario, Canada N2L 3G1
519 888 4883

All items in UWSpace are protected by copyright, with all rights reserved.

DSpace software

Service outages