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In this paper, we consider a Timoshenko system with a thermo-viscoelastic damping and a delay term in the internal feedback together with initial datum and boundary conditions of Dirichlet type, where g is a positive non-increasing…

Analysis of PDEs · Mathematics 2015-05-11 Weican Zhou , Miaomiao Chen

Nonlinear contact dynamics are widely regarded as intrinsically nonlinear systems whose behaviour depends strongly on geometry and impact conditions. Here we show that any one-dimensional conservative contact system satisfying monotone…

Dynamical Systems · Mathematics 2026-04-06 Y. T. Feng

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…

Optimization and Control · Mathematics 2018-08-29 Hugo Lhachemi , David Saussié , Guchuan Zhu

We investigate the coherence and steady-state properties of the Jaynes-Cummings model subjected to time-delayed coherent feedback in the regime of multiple excitations. The introduced feedback qualitatively modifies the dynamical response…

Quantum Physics · Physics 2020-06-23 Nikolett Német , Scott Parkins , Victor Canela , Alexander Carmele

We study a dynamic mechanism to passively suppress the thermal noise of a micromechanical resonator through an intrinsic self-feedback that is genuinely non-Markovian. We use two coupled resonators, one as the target resonator and the other…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 H. Ian , Z. R. Gong , C. P. Sun

We study the well-posedness and stability of an impedance passive infinite-dimensional linear system under nonlinear feedback of the form $u(t)=\phi(v(t)-y(t))$, where $\phi$ is a monotone function. Our first main result introduces…

Optimization and Control · Mathematics 2025-06-19 Anthony Hastir , Lassi Paunonen

The paper deals with output feedback stabilization of exponentially stable systems by an integral controller. We propose appropriate Lyapunov functionals to prove exponential stability of the closed-loop system. An example of parabolic PDE…

Analysis of PDEs · Mathematics 2019-01-09 A Terrand-Jeanne , Vincent Andrieu , Valérie Dos Santos Martins , C. -Z Xu

We consider linear control systems of the form $\dot{y}(t)=Ay(t)-\mu B C y(t)$ where $\mu$ is a positive real parameter, $A$ is the state operator and generates a linear $C_0-$semigroup of contractions $S(t) $ on a Banach space $X$, $B$ and…

Dynamical Systems · Mathematics 2020-06-02 K. Ammari , S. El Alaoui , M. Ouzahra

A decentralized feedback controller for multi-agent systems, inspired by vehicle platooning, is proposed. The closed loop resulting from the decentralized control action has three distinctive features: the generation of collision-free…

Optimization and Control · Mathematics 2025-04-01 Young-Pil Choi , Dante Kalise , Andrés A. Peters

A systematic approach to design robust control protocols against the influence of different types of noise is introduced. We present control schemes which protect the decay of the populations avoiding dissipation in the adiabatic and…

Quantum Physics · Physics 2018-03-14 Amikam Levy , A. Kiely , J. G. Muga , R. Kosloff , E. Torrontegui

The dynamics of a platoon of adaptive cruise control vehicles is analyzed for a general mechanical response of the vehicle's power-train. Effects of acceleration-feedback control that were not previously studied are found. For small…

Adaptation and Self-Organizing Systems · Physics 2015-06-12 L. C. Davis

In a gas transport system, the customer behavior is uncertain. Motivated by this situation, we consider a boundary stabilization problem for the flow through a gas pipeline, where the outflow at one end of the pipe that is governed by the…

Analysis of PDEs · Mathematics 2017-11-13 Martin Gugat , Rüdiger Schultz

In this paper, we study the rapid stabilization of an unstable wave equation, in which an unknown disturbance is located at the boundary condition. We address two different boundary conditions: Dirichlet- Dirichlet and Dirichlet-Neumann. In…

Optimization and Control · Mathematics 2025-10-07 Patricio Guzmán , Agustín Huerta , Hugo Parada

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…

Optimization and Control · Mathematics 2021-08-18 Hugo Lhachemi , Christophe Prieur , Robert Shorten

We propose a new matrix pencil based approach for design of state-feedback and output-feedback stabilizing controllers for a general class of uncertain nonlinear strict-feedback-like systems. While the dynamic controller structure is based…

Optimization and Control · Mathematics 2022-06-08 Prashanth Krishnamurthy , Farshad Khorrami

We study the implementation of a weak multiple delayed feedback for controlling coherence of chaotic oscillations. The specific system we treat is the Lorenz system with classical set of parameters. There are two reasons behind the interest…

Statistical Mechanics · Physics 2009-12-03 Denis S. Goldobin , Elizaveta V. Shklyaeva

We propose and analyze a protocol for stabilizing a maximally entangled state of two noninteracting qubits using active state-dependent feedback from a continuous two-qubit half-parity measurement in coordination with a concurrent,…

This manuscript addresses the analysis and design of feedback laws for the stabilization of bilinear control systems in infinite-dimensional spaces. It first examines weak, strong, and polynomial stabilization within a Hilbert space…

Optimization and Control · Mathematics 2026-04-15 Mohamed Ouzahra

In this paper, we study the output feedback stabilization for a scalar conservation law with a nonlocal velocity, that models a highly re-entrant manufacturing system as encountered in semi-conductor production. By spectral analysis, we…

Optimization and Control · Mathematics 2015-03-11 Jean-Michel Coron , Zhiqiang Wang

In this paper, we consider a dissipative system of one-dimensional piezoelectric beam with magnetic effect and a tip load at the free end of the beam, which is modeled as a special form of double boundary dissipation. Our main aim is to…

Analysis of PDEs · Mathematics 2021-09-21 Yanning An , Wenjun Liu , Aowen Kong