In this article, we propose a trajectory planning approach to deal with various of the
noncollocated configurations of output tracking through a one-dimensional wave equation …

Classical wave and beam models cannot describe the arc-like planar configuration of a
continuum arm. Based on the Cosserat rod theory, a strain vector and the rotation matrix are …

In this article, the output regulation for a 1-D wave equation where the disturbances
generated from an unknown finite-dimensional exosystem appear in all possible channels is …

This paper proposes a fractional-order integral controller, FI, which is a simple, robust and
well-performing technique for vibration control in smart structures with collocated sensors …

This letter presents the design of an exponentially stabilizing controller for a one-
dimensional wave partial differential equation. The control is acting on a Robin's boundary …

In this paper, the robustness to model mismatch of a preexisting collocated boundary
adaptive feedback law is investigated. This control law was originally designed for an …

The input/output stability of an interconnected system composed of an ordinary differential
equation and a damped string equation is studied. Issued from the literature on time‐delay …

We present an analysis of regularity and stability of solutions corresponding to wave
equation with dynamic boundary conditions. It has been known since the pioneering work by …

The aim of this paper is to study the problem {utt− Δ u+ P (x, ut)= f (x, u) in (0,∞)× Ω, u= 0 on
(0,∞)× Γ 0, ut t+∂ ν u− Δ Γ u+ Q (x, ut)= g (x, u) on (0,∞)× Γ 1, u (0, x)= u 0 (x), ut (0, x)= u 1 …

Two recent results on earthquake control are summarized. A simplified model of an
earthquake phenomenon is addressed by means of a cascade system of a 1D wave …