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This paper discusses the boundary feedback stabilization of a reaction-diffusion equation with Robin boundary conditions and in the presence of a time-varying state-delay. The proposed control design strategy is based on a…

最优化与控制 · 数学 2020-03-17 Hugo Lhachemi , Robert Shorten

This paper deals with the exponential input-to-state stabilization with respect to boundary disturbances of a class of diagonal infinite-dimensional systems via delay boundary control. The considered input delays are uncertain and…

最优化与控制 · 数学 2020-03-13 Hugo Lhachemi , Robert Shorten , Christophe Prieur

This paper studies the boundary output feedback stabilization of general 1-D reaction-diffusion PDEs in the presence of a state delay in the reaction term. The control input applies through a Robin boundary condition while the system output…

最优化与控制 · 数学 2021-06-01 Hugo Lhachemi , Robert Shorten

The problem of stabilization of a system of coupled PDEs of the forth-order by means of boundary control is investigated. The considered setup arises from the classical Euler-Bernoulli beam model, and constitutes a generalization of…

系统与控制 · 电气工程与系统科学 2020-01-17 Andrea Cristofaro , Francesco Ferrante

This paper studies the boundary feedback stabilization of a class of diagonal infinite-dimensional boundary control systems. In the studied setting, the boundary control input is subject to a constant delay while the open loop system might…

最优化与控制 · 数学 2020-12-29 Hugo Lhachemi , Christophe Prieur

This paper addresses the boundary output feedback stabilization of general 1-D reaction-diffusion PDEs with delayed boundary measurement. The output takes the form of a either Dirichlet or Neumann trace. The output delay can be arbitrarily…

最优化与控制 · 数学 2021-06-28 Hugo Lhachemi , Christophe Prieur

This work investigates the global exponential stabilization of a degenerate Euler-Bernoulli beam subjected to a non uniform axial force and a delayed feedback control. First, we address the well-posedness of the system by constructing an…

偏微分方程分析 · 数学 2026-02-23 Ben Bakary Junior Siriki , Adama Coulibaly

This paper discusses the robustness of the constant-delay predictor feedback in the case of an uncertain time-varying input delay. Specifically, we study the stability of the closed-loop system when the predictor feedback is designed based…

最优化与控制 · 数学 2019-08-29 Hugo Lhachemi , Christophe Prieur , Robert Shorten

Boundary feedback stabilisation of linear port-Hamiltonian systems on an interval is considered. Generation and stability results already known for linear feedback are extended to nonlinear dissipative feedback, both to static feedback…

偏微分方程分析 · 数学 2019-05-30 Björn Augner

This paper discusses the in-domain feedback stabilization of reaction-diffusion PDEs with Robin boundary conditions in the presence of an uncertain time- and spatially-varying delay in the distributed actuation. The proposed control design…

最优化与控制 · 数学 2021-08-18 Hugo Lhachemi , Christophe Prieur , Robert Shorten

This paper is concerned with the stability analysis of a lossless Euler-Bernoulli beam that carries a tip payload which is coupled to a nonlinear dynamic feedback system. This setup comprises nonlinear dynamic boundary controllers…

偏微分方程分析 · 数学 2015-10-21 Maja Miletić , Dominik Stürzer , Anton Arnold , Andreas Kugi

This paper investigates the boundary stabilization of an Euler-Bernoulli beam under constant axial tension and subject to an internal time-delay. First, the well-posedness of the system is established using semigroup of linear operators…

偏微分方程分析 · 数学 2026-05-26 Ben Bakary Junior Siriki , Adama Coulibaly

This paper addresses the problem of input-to-state stabilization for a class of parabolic equations with time-varying coefficients, as well as Dirichlet and Robin boundary disturbances. By using time-invariant kernel functions, which can…

最优化与控制 · 数学 2024-06-18 Yongchun Bi , Jun Zheng , Guchuan Zhu

This paper is concerned with the output feedback boundary stabilization of general 1-D reaction diffusion PDEs in the presence of an arbitrarily large input delay. We consider the cases of Dirichlet/Neumann/Robin boundary conditions for the…

最优化与控制 · 数学 2022-07-13 Hugo Lhachemi , Christophe Prieur

Late-lumping feedback design for infinite-dimensional linear systems with unbounded input operators is considered. The proposed scheme is suitable for the approximation of backstepping and flatness-based designs and relies on a…

最优化与控制 · 数学 2022-11-03 Marcus Riesmeier , Frank Woittennek

We complete the first step towards the resolution of several decades-old challenges in disturbance-robust adaptive control. For a scalar linear system with an unknown parameter for which no a priori bound is given, with a disturbance that…

最优化与控制 · 数学 2023-04-07 Iasson Karafyllis , Miroslav Krstic , Alexandros Aslanidis

We consider a simply-supported Euler-Bernoulli beam with viscous and Kelvin--Voigt damping. Our objective is to attenuate the effect of an unknown distributed disturbance using one piezoelectric actuator. We show how to design a suitable…

最优化与控制 · 数学 2025-02-20 Anton Selivanov , Emilia Fridman

This paper addresses the boundary stabilization of a flexible wing model, both in bending and twisting displacements, under unsteady aerodynamic loads, and in presence of a store. The wing dynamics is captured by a distributed parameter…

最优化与控制 · 数学 2018-08-29 Hugo Lhachemi , David Saussié , Guchuan Zhu

Stability and stabilization of linear port-Hamiltonian systems on infinite-dimensional spaces are investigated. This class is general enough to include models of beams and waves as well as transport and Schr\"odinger equations with boundary…

偏微分方程分析 · 数学 2016-04-26 Björn Augner , Birgit Jacob

This paper addresses the analysis of a boundary feedback system involving a non-homogeneous Euler-Bernoulli beam governed by the equation $m(x)u_{tt}+\mu(x)u_{t}$$+\left(r(x)u_{xx}\right)_{xx}=0$, subject to the initial $u(x,0)=u_0(x)$,…

最优化与控制 · 数学 2023-07-06 Alemdar Hasanov
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