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arXiv · 1803.02938

Stability and Well-posedness of a Nonlinear Railway Track Model

M. Sajjad Edalatzadeh·Kirsten A. Morris
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Abstract

Railway 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.

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M. Sajjad Edalatzadeh, Kirsten A. Morris. 2018-07-03. Stability and Well-posedness of a Nonlinear Railway Track Model. https://doi.org/10.1109/lcsys.2018.2849831

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