Uniform boundary stabilization of a thermoelastic bar with a nonlinear weak damping

Boundary Stabilization of Memory-type Thermoelastic Systems

In this article we consider an n-dimentional thermoelastic system with a viscoelastic damping localized on a part of the boundary. We establish an explicit and general decay rate result that allows a larger class of relaxation functions and generalizes previous results existing in the literature.

Existence and Uniform Decay of Weak Solutions for Nonlinear Thermoelastic System with Memory

Uniform Stabilization of the Higher Dimensional System of Thermoelasticity with a Nonlinear Boundary Feedback

Using multipler techniques and Lyapunov methods, we derive explicit decay rates for the energy in the higher-dimensional system of thermoelasticity with a nonlinear velocity feedback on part of the boundary of a thermoelastic body, which is clamped along the rest of its boundary.

Existence and Uniform Decay of Solutions of a Parabolic-Hyperbolic Equation with Nonlinear Boundary Damping and Boundary Source Term

Boundary Feedback Stabilization of a Nonlinear Flexible Gantry Manipulator Using Disturbance Observer

This paper aims to develop a boundary control solution for a single-link gantry robot manipulator with one axis of rotation. The control procedure is considered with link’s transverse vibrations while system undergoes rigid body nonlinear large rotation and translation. Initially, based on Hamilton principle, governing equations of hybrid motions as a set of partial differential equations...