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In this paper we study the stability properties of the equilibrium point for an age-structured chemostat model with renewal boundary condition and coupled substrate dynamics under constant dilution rate. This is a complex…

Dynamical Systems · Mathematics 2026-03-27 Iasson Karafyllis , Dionysios Theodosis , Miroslav Krstic

We present a computational study of a simple finite-dimensional feedback control algorithm for stabilizing solutions of infinite-dimensional dissipative evolution equations such as reaction-diffusion systems, the Navier-Stokes equations and…

Analysis of PDEs · Mathematics 2017-07-11 Evelyn Lunasin , Edriss S. Titi

In this paper, we prove the output feedback stabilization for the linearized Korteweg-de Vries (KdV) equation posed on a finite domain in the case the full state of the system cannot be measured. We assume that there is a sensor at the left…

Optimization and Control · Mathematics 2019-07-18 Ahmet Batal , Türker Özsarı

In this paper, we present output feedback boundary stabilization for a class of semilinear parabolic PDEs with a boundary measurement and an actuation located at the same place. The method uses backstepping transformations, where the state…

Analysis of PDEs · Mathematics 2016-12-13 Agus Hasan

This paper presents a global stabilization result of the viscous Burgers' equation with the memory term by applying Neumann boundary feedback control laws. We construct suitable feedback control inputs using the control Lyapunov functional…

Optimization and Control · Mathematics 2026-02-03 Shishu Pal Singh , Sudeep Kundu

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…

Optimization and Control · Mathematics 2020-12-29 Hugo Lhachemi , Christophe Prieur

We consider the problem of boundary feedback control of single-input-single-output (SISO) one-dimensional linear hyperbolic systems when sensing and actuation are anti-located. The main issue of the output feedback stabilization is that it…

Optimization and Control · Mathematics 2022-12-12 Georges Bastin , Jean-Michel Coron , Amaury Hayat

We study convergence and stability properties of control-affine systems. Our considerations are motivated by the problem of stabilizing a control-affine system by means of output feedback for states in which the output function attains an…

Dynamical Systems · Mathematics 2018-06-12 Raik Suttner

Robust stabilization conditions for uncertain switched affine systems subject to a unitary input delay are presented. They are obtained through the Lyapunov framework and a min-switching state-feedback predictive control law. The result…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Gerson Portilla , Carolina Albea , Alexandre Seuret

In this paper, the stabilization problem with closed-loop domain of attraction (DOA) enlargement for discrete-time general nonlinear plants is solved. First, a sufficient condition for asymptotic stabilization and estimation of the…

Systems and Control · Electrical Eng. & Systems 2021-03-16 Xiang Qiu , Zijun Feng , Chaolun Lu , Yongqiang Li

In this paper, we study the stabilization problem for a food extrusion process in the isothermal case. The model expresses the mass conservation in the extruder chamber and consists of a hyperbolic Partial Differential Equation (PDE) and a…

Analysis of PDEs · Mathematics 2015-02-03 Mamadou Diagne , Peipei Shang , Zhiqiang Wang

The present paper addresses the problem of existence of an (output) feedback law to the purposes of asymptotically steering to zero a given controlled variable, while keeping all state variables bounded, for any initial conditions in a…

Optimization and Control · Mathematics 2007-05-23 Lorenzo Marconi , Laurent Praly , Alberto Isidori

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…

Optimization and Control · Mathematics 2019-08-29 Hugo Lhachemi , Christophe Prieur , Robert Shorten

The present paper provides a sufficient condition to ensure output finite-time and fixed-time stability. Comparing with analogous researches the proposed result is less restrictive and obtained for a wider class of systems. The presented…

Optimization and Control · Mathematics 2021-05-18 Konstantin Zimenko , Denis Efimov , Andrey Polyakov

This paper develops systematically the output feedback exponential stabilization for a one-dimensional unstable/anti-stable wave equation where the control boundary suffers from both internal nonlinear uncertainty and external disturbance.…

Optimization and Control · Mathematics 2017-06-08 Hua-Cheng Zhou , George Weiss

This article provides a novel continuous-time state feedback control strategy to stabilize an eigenstate of the Hermitian measurement operator of a two-level quantum system. In open loop, such system converges stochastically to one of the…

Quantum Physics · Physics 2019-04-11 Gerardo Cardona , Alain Sarlette , Pierre Rouchon

In this study, we propose new global stabilization approaches for a class of polynomial systems in both model-based and data-driven settings. The existing model-based approach guarantees global asymptotic stability of the closed-loop system…

Optimization and Control · Mathematics 2025-05-21 Huayuan Huang , M. Kanat Camlibel , Raffaella Carloni , Henk J. van Waarde

In this paper, we consider boundary stabilization for a cascade of ODE-heat system with state delay under actuator saturation. To stabilize the system, we design a state feedback controller via the backstepping method and find a bound on…

Optimization and Control · Mathematics 2017-04-21 Wen Kang , Emilia Fridman

In this paper, we apply a Lyapunov functional approach to Lotka-Volterra systems with infinite delays and feedback controls and establish that the feedback controls have no influence on the attractivity properties of a saturated…

Dynamical Systems · Mathematics 2018-07-11 Yoshiaki Muroya , Teresa Faria

This paper addresses the design of robust dynamic output feedback control for highly uncertain systems in which the unknown disturbance might be excited by the derivative of the control input. This context appears in many industrial…

Systems and Control · Computer Science 2016-10-20 Mazen Alamir , Jean Dobrowolski , Amgad tarek Mohammed