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We provide theoretical guarantees for recursive feasibility and practical exponential stability of the closed-loop system of a feedback linearizable nonlinear system when controlled by a robust data-driven nonlinear predictive control…

最优化与控制 · 数学 2023-03-28 Mohammad Alsalti , Victor G. Lopez , Julian Berberich , Frank Allgöwer , Matthias A. Müller

Hyperexponential stability is investigated for dynamical systems with the use of both, explicit and implicit, Lyapunov function methods. A nonlinear hyperexponential control is designed for stabilizing linear systems. The tuning procedure…

系统与控制 · 电气工程与系统科学 2022-07-19 Konstantin Zimenko , Denis Efimov , Andrey Polyakov

An explicit output-feedback boundary feedback law is introduced that stabilizes an unstable linear constant-coefficient reaction-diffusion equation on an $n$-ball (which in 2-D reduces to a disk and in 3-D reduces to a sphere) using only…

最优化与控制 · 数学 2015-11-23 Rafael Vazquez , Miroslav Krstic

This paper investigates the mean square exponential stabilization problem for a class of coupled PDE-ODE systems with Markov jump parameters. The considered system consists of multiple coupled hyperbolic PDEs and a finite-dimensional ODE,…

最优化与控制 · 数学 2025-08-06 Kaijing Lyu , Umberto Biccari , Junmin Wang

Robust output tracking is addressed in this paper for a heat equation with Neumann boundary conditions and anti-collocated boundary input and output. The desired reference tracking is solved using the well-known flatness and Lyapunov…

最优化与控制 · 数学 2022-04-27 Diego Gutiérrez-Oribio , Yury Orlov , Ioannis Stefanou , Franck Plestan

This paper studies the data-driven control of unknown linear-threshold network dynamics to stabilize the state to a reference value. We consider two types of controllers: (i) a state feedback controller with feed-forward reference input and…

系统与控制 · 电气工程与系统科学 2025-10-03 Xuan Wang , Duy Duong-Tran , Jorge Cortés

Motivated by recent applications in control theory, we study the feedback stabilizability of switched systems, where one is allowed to chose the switching signal as a function of $x(t)$ in order to stabilize the system. We propose new…

最优化与控制 · 数学 2016-08-30 Raphaël M. Jungers , Paolo Mason

This paper addresses the following question: "Suppose that a state-feedback controller stabilizes an infinite-dimensional linear continuous-time system. If we choose the parameters of an event/self-triggering mechanism appropriately, is the…

最优化与控制 · 数学 2022-07-05 Masashi Wakaiki , Hideki Sano

We consider a system of linear hyperbolic PDEs where the state at one of the boundary points is controlled using the measurements of another boundary point. Because of the disturbances in the measurement, the problem of designing dynamic…

系统与控制 · 计算机科学 2017-07-25 Aneel Tanwani , Christophe Prieur , Sophie Tarbouriech

Control using quantized feedback is a fundamental approach to system synthesis with limited communication capacity. In this paper, we address the stabilization problem for unknown linear systems with logarithmically quantized feedback, via…

最优化与控制 · 数学 2022-03-11 Feiran Zhao , Xingchen Li , Keyou You

Robustness is a basic property of any control system. In the context of linear output regulation, it was proved that embedding an internal model of the exogenous signals is necessary and sufficient to achieve tracking of the desired…

系统与控制 · 电气工程与系统科学 2021-04-23 Michelangelo Bin , Daniele Astolfi , Lorenzo Marconi

In this paper we propose dynamic output-feedback controller synthesis methods for discrete-time linear time-invariant systems. The synthesis goal is to achieve dissipativity with respect to a given quadratic supply rate or a given $H_2$…

最优化与控制 · 数学 2026-03-25 Pietro Kristović , Andrej Jokić , Mircea Lazar

In this article, we investigate the problem of exponential stabilization via output feedback for a cascaded system composed of an ordinary differential equation (ODE) and a wave partial differential equation (PDE) under boundary control.…

最优化与控制 · 数学 2026-05-12 Zhan-Dong Mei , Lan-Xi Tang

We consider the task of motion control for non-prehensile manipulation using parallel kinematics mechatronic setup, in particular, stabilization of a ball on a plate under unmeasured external harmonic disturbances. System parameters are…

系统与控制 · 电气工程与系统科学 2020-05-19 Dmitrii Dobriborsci , Sergey Kolyubin , Alexey Bobtsov

This paper presents a new robust data-driven predictive control scheme for unknown linear time-invariant systems by using input-state-output or input-output data based on whether the state is measurable. To remove the need for the…

系统与控制 · 电气工程与系统科学 2024-01-17 Kaijian Hu , Tao Liu

We are interested in the feedback stabilization of general linear multi-dimensional first order hyperbolic systems in $\mathbb{R}^d$. Using a Lyapunov function with a suited weight function depending on the system under consideration we…

最优化与控制 · 数学 2025-01-24 Michael Herty , Ferdinand Thein

We consider the output-feedback stabilization of a one-dimensional cascade coupling a reaction-diffusion equation and a wave equation through an internal term, with Neumann boundary control acting at the wave endpoint. Two measurements are…

最优化与控制 · 数学 2026-01-26 Hugo Lhachemi , Christophe Prieur , Emmanuel Trélat

This note proposes a data-driven output-feedback stabilizing policy iteration for unknown linear discrete-time systems with unmeasurable states. Existing policy iteration methods for optimal control must start from a stabilizing control…

系统与控制 · 电气工程与系统科学 2025-12-01 Dongdong Li , Jiuxiang Dong

This paper proposes a relaxed control regularization with general exploration rewards to design robust feedback controls for multi-dimensional continuous-time stochastic exit time problems. We establish that the regularized control problem…

最优化与控制 · 数学 2021-07-26 Christoph Reisinger , Yufei Zhang

This work primarily focuses on an operator inference methodology aimed at constructing low-dimensional dynamical models based on a priori hypotheses about their structure, often informed by established physics or expert insights. Stability…

机器学习 · 计算机科学 2024-03-04 Igor Pontes Duff , Pawan Goyal , Peter Benner