Robustness to in-domain viscous damping of a collocated boundary adaptive feedback law for an anti-damped boundary wave PDE

[41] , Exponential stability of second-order evolution equations with structural damping and dynamic boundary delay feedback, IMA J. Valein, Stabilization of second order

Abstract: This extended abstract presents some backstepping control designs for a one- dimensional wave equation with an anti-damped boundary dynamics in presence of in-domain

In this paper, we have outlined an approach to specify views on feature diagrams in or- der to facilitate feature-based configuration, one of the main techniques to define prod-

Chapter 7: This chapter presents the design of a backstepping control feedback in order to exponentially sta- bilize the same wave equation considered in Part I, but assuming that

The numerical values corresponding to the dynamic of the torsional variable were taken from the work of [4,18]. In practice to optimize drilling operations, the driller

that convergence of error estimators and adaptive algorithms for Finite Element Methods can be proven under the assumption that D¨orfler marking (see Definition 6.1) is used.

For example, we refer the reader to [14] for a treatment of a wave PDE with space-dependent in-domain velocity and position source terms (λ (x), β (x)) associated with Dirich-

This leads to satisfactory results in the blue case, even though the stability certificate is weaker in the sense that the non-linear closed loop trajectory x cl (t) is only