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This paper examines the impulse controllability of degenerate singular parabolic equations through a modern framework focused on finite-time stabilization. Furthermore, we provide an explicit estimate for the exponential decay of the…

偏微分方程分析 · 数学 2026-04-03 Walid Zouhair , Ghita El Guermai , Ilham Ouelddris

It is shown that an explicit oblique projection nonlinear feedback controller is able to stabilize semilinear parabolic equations, with time-dependent dynamics and with a polynomial nonlinearity. The actuators are typically modeled by a…

最优化与控制 · 数学 2019-03-20 Sérgio S. Rodrigues

To meet the demands of instantaneous control of instabilities over long time horizons in plasma fusion, we design a dynamic feedback control strategy for the Vlasov-Poisson system by constructing an operator that maps state perturbations to…

数值分析 · 数学 2026-01-01 Jingcheng Lu , Li Wang , Jeff Calder

A dynamic backstepping method is proposed to design controllers for nonlinear systems in the pure-feedback form, for which the traditional backstepping method suffers from solving the implicit nonlinear algebraic equation. The idea of this…

系统与控制 · 计算机科学 2017-06-28 Sheng Zhang , Wei-qi Qian

In this paper, we study the problem of stabilizing continuous-time switched linear systems with quantized output feedback. We assume that the observer and the control gain are given for each mode. Also, the plant mode is known to the…

系统与控制 · 计算机科学 2015-09-03 Masashi Wakaiki , Yutaka Yamamoto

We develop a switched predictor-feedback law, which achieves global asymptotic stabilization of linear systems with input delay and with the plant and actuator states available only in (almost) quantized form. The control design relies on a…

最优化与控制 · 数学 2024-09-06 Florent Koudohode , Nikolaos Bekiaris-Liberis

Designing accurate yet robust tracking controllers with tight performance guarantees for Lagrangian systems is challenging due to nonlinear modeling uncertainties and conservative stability criteria. This article proposes a…

系统与控制 · 电气工程与系统科学 2024-06-06 Giulio Evangelisti , Cosimo Della Santina , Sandra Hirche

Robust global stabilization of nonlinear systems by observer-based feedback controllers is a challenging task. This article investigates the problem of designing observer-based stabilizing controllers for incrementally quadratic nonlinear…

最优化与控制 · 数学 2020-07-17 Xiangru Xu , Behcet Acikmese , Martin J. Corless

This paper deals with the output feedback stabilization problem of nonlinear multi-input multi-output systems having an uncertain input gain matrix. It is assumed that the system has a well-defined vector relative degree and that the zero…

系统与控制 · 计算机科学 2019-03-19 Wonseok Ha , Juhoon Back

-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…

动力系统 · 数学 2016-05-25 Johan Peralez , Vincent Andrieu , Madiha Nadri , Ulysse Serres

The paper shows that positive linear systems can be stabilized using positive Luenberger-type observers. This is achieved by structuring the observer as monotonically converging upper and lower bounds on the state. Analysis of the…

最优化与控制 · 数学 2026-04-21 David Ohlin , Anders Rantzer , Emma Tegling

One approach to robust control for linear plants with structured uncertainty as well as for linear parameter-varying (LPV) plants (where the controller has on-line access to the varying plant parameters) is through…

最优化与控制 · 数学 2008-08-20 J. A. Ball , Q. Fang , G. J. Groenewald , S. ter Horst

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

A study of the linear quadratic (LQ) control problem on a finite time interval for a model equation in Hilbert spaces which comprehends the memory of the inputs was performed recently by the authors. The outcome included a closed-loop…

最优化与控制 · 数学 2025-03-19 Paolo Acquistapace , Francesca Bucci

This paper investigates the output feedback boundary control of reaction-diffusion equations with either distributed or boundary measurement by means of a finite-dimensional observer. A constructive method dealing with the design of…

最优化与控制 · 数学 2021-08-25 Hugo Lhachemi , Christophe Prieur

This paper addresses the problem of exponential practical stabilization of linear time-invariant systems with disturbances using event-triggered control and bounded communication bit rate. We consider both the case of instantaneous…

系统与控制 · 计算机科学 2015-10-16 Pavankumar Tallapragada , Jorge Cortes

The parameter convergence relies on a stringent persistent excitation (PE) condition in adaptive control. Several works have proposed a memory term in the last decade to translate the PE condition to a feasible finite excitation (FE)…

系统与控制 · 电气工程与系统科学 2025-06-26 Manish Patel , Arnab Maity

This paper studies the design of a finite-dimensional output feedback controller for the stabilization of a reaction-diffusion equation in the presence of a sector nonlinearity in the boundary input. Due to the input nonlinearity, classical…

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

This paper proposes a new framework and several results to quantify the performance of data-driven state-feedback controllers for linear systems against targeted perturbations of the training data. We focus on the case where subsets of the…

系统与控制 · 电气工程与系统科学 2019-12-24 Rajasekhar Anguluri , Abed AlRahman Al Makdah , Vaibhav Katewa , Fabio Pasqualetti

Robust imitation learning seeks to mimic expert controller behavior while ensuring stability, but current methods require accurate plant models. Here, robust imitation learning is addressed for stabilizing poorly modeled plants with linear…

系统与控制 · 电气工程与系统科学 2022-10-04 Amy K. Strong , Ethan J. LoCicero , Leila Bridgeman