English
Related papers

Related papers: Output feedback stabilization for heat equations w…

200 papers

We study the exponential stabilization problem for a nonlinear Korteweg-de Vries equa- tion on bounded interval in cases where the linearized control system is not controllable. The system has Dirichlet boundary conditions at the end-points…

Analysis of PDEs · Mathematics 2018-02-28 Jean-Michel Coron , Ivonne Rivas , Shengquan Xiang

Sampling arises simultaneously with input and output delays in networked control systems. When the delay is left uncompensated, the sampling period is generally required to be sufficiently small, the delay sufficiently short, and, for…

Optimization and Control · Mathematics 2010-12-13 Iasson Karafyllis , Miroslav Krstic

We design a new feedback law to stabilize a linear infinite-dimensional control system, where the state operator generates a C0-group and the control operator is unbounded. Our feedback law is based on the integration of a mutated Gramian…

Optimization and Control · Mathematics 2022-05-19 Yaxing Ma , Gengsheng Wang , Huaiqiang Yu

For nonlinear systems that are known to be globally asymptotically stabilizable, control over networks introduces a major challenge because of the asynchrony in the transmission schedule. Maintaining global asymptotic stabilization in…

Optimization and Control · Mathematics 2011-08-16 Iasson Karafyllis , Miroslav Krstic

The event-triggered control with intermittent output can reduce the communication burden between the controller and plant side over the network. It has been exploited for adaptive output feedback control of uncertain nonlinear systems in…

Systems and Control · Electrical Eng. & Systems 2026-03-26 Gewei Zuo , Lijun Zhu

This paper presents a framework to perform bifurcation analysis in laboratory experiments or simulations. We employ control-based continuation to study the dynamics of a macroscopic variable of a microscopically defined model, exploring the…

Dynamical Systems · Mathematics 2022-08-02 Ilias Panagiotopoulos , Jens Starke , Jan Sieber , Wolfram Just

Almost sure asymptotic stabilization of a discrete-time switched stochastic system is investigated. Information on the active operation mode of the switched system is assumed to be available for control purposes only at random time…

Systems and Control · Computer Science 2014-09-10 Ahmet Cetinkaya , Tomohisa Hayakawa

We consider output tracking and disturbance rejection for abstract infinite-dimensional systems with input saturation. We solve the control problem using a control law which consists of a stabilising error feedback term and a feedforward…

Optimization and Control · Mathematics 2025-06-23 Thavamani Govindaraj , Lassi Paunonen

Feedback control mechanisms are ubiquitous in science and technology, and play an essential role in regulating physical, biological and engineering systems. The standard second law of thermodynamics does not hold in the presence of…

Quantum Physics · Physics 2020-04-20 Maxime Debiossac , David Grass , Jose Joaquin Alonso , Eric Lutz , Nikolai Kiesel

In this paper, a backstepping observer and an output feedback control law are designed for the stabilization of the one-phase Stefan problem. The present result is an improvement of the recent full state feedback backstepping controller…

Optimization and Control · Mathematics 2016-09-28 Shumon Koga , Mamadou Diagne , Miroslav Krstic

We consider a heat equation with memory which is defined on a bounded domain in $\mathbb{R}^d$ and is driven by $m$ control inputs acting on the interior of the domain. Our objective is to numerically construct a state feedback controller…

Systems and Control · Electrical Eng. & Systems 2025-04-03 Bhargav Pavan Kumar Sistla , Wasim Akram , Debanjana Mitra , Vivek Natarajan

We develop an input delay-compensating feedback law for linear switched systems with time-dependent switching. Because the future values of the switching signal, which are needed for constructing an exact predictor-feedback law, may be…

Systems and Control · Electrical Eng. & Systems 2025-03-19 Andreas Katsanikakis , Nikolaos Bekiaris-Liberis , Delphine Bresch-Pietri

We propose a new method for pure-state and subspace preparation in quantum systems, which employs the output of a continuous measurement process and switching dissipative control to improve convergence speed, as well as robustness with…

Quantum Physics · Physics 2024-06-24 Tommaso Grigoletto , Francesco Ticozzi

This note studies the robust output feedback stabilization problem of multi-input multi-output invertible nonlinear systems with output-dependent multipliers. An "ideal" state feedback is first designed under certain mild assumptions. Then,…

Systems and Control · Electrical Eng. & Systems 2021-03-02 Lei Wang , Christopher M. Kellett

We consider the optimal control problem of minimizing some quadratic functional over all possible solutions of an internally controlled multi-dimensional heat equation with a periodic terminal state constraint. This problem has a unique…

Optimization and Control · Mathematics 2015-09-22 Emmanuel Trélat , Lijuan Wang , Yubiao Zhang

We consider a system that is exactly controllable. For given initial state, terminal state and objective function, an optimal control is often well-defined. Such an optimal control has the disadvantage that although it works perfectly well…

Optimization and Control · Mathematics 2013-07-08 Martin Gugat

In this paper, we study the long-time behavior of a stochastic heat equation with multiplicative noise and localized control. We begin by analyzing the uncontrolled dynamics and derive explicit decay rates for both mean-square and almost…

Optimization and Control · Mathematics 2026-04-13 Víctor Hernández-Santamaría , Kévin Le Balc'h , Liliana Peralta

A feedback controller is proposed to perform output reference tracking with prescribed performance for nonlinear continuous-time systems of relative degree two. The controller is of sampled-data type, i.e., measurements are available only…

Optimization and Control · Mathematics 2024-07-30 Lukas Lanza

An age-structured Susceptible-Infected-Recovered-Deceased (SIRD) epidemic model is considered. The aim of this paper is to design an observer-based output feedback control law, representing an immunization process, typically vaccination,…

Optimization and Control · Mathematics 2024-10-28 Candy Sonveaux , Christophe Prieur , Gildas Besançon , Joseph J. Winkin

-This work addresses output feedback stabilization via event triggered output feedback. In the first part of the paper, linear systems are considered, whereas the second part shows that a dynamic event triggered output feedback control law…

Dynamical Systems · Mathematics 2016-05-25 Johan Peralez , Vincent Andrieu , Madiha Nadri , Ulysse Serres