Now showing items 1-4 of 4
Stability and Well-posedness of a Nonlinear Railway Track Model
(Institute of Electrical and Electronics Engineers, 2018-06-22)
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 ...
Optimal Actuator Location for Semi-Linear Systems
Actuator location and design are important choices in controller design for distributed parameter systems. Semi-linear partial differential equations model a wide spectrum of physical systems with distributed parameters. ...
A modified sliding-mode observer design with application to diffusion equation
(Taylor and Francis, 2018-02-27)
In many physical systems, the system's full state cannot be measured. An observer is designed to reconstruct the state from measurements. Disturbances often contribute to the dynamics of the system, and the designed observer ...
Linearized Stability of Partial Differential Equations with Application to Stabilization of the Kuramoto--Sivashinsky Equation
(Society for Industrial and Applied Mathematics, 2018-01-05)
Linearization is a useful tool for analyzing the stability of nonlinear differential equations. Unfortunately, the proof of the validity of this approach for ordinary differential equations does not generalize to all ...