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This paper studies the existence of solutions and, in particular, the well-posedness of a class of boundary control systems. Our main result provides explicit and verifiable conditions on the system data that guarantee continuous dependence…

最优化与控制 · 数学 2026-03-13 Yassine El Gantouh , Jun Zheng , Guchuan Zhu

This paper deals with the stabilization of a coupled system composed by an infinite-dimensional system and an ODE. Moreover, the control, which appears in the dynamics of the ODE, is subject to a general class of nonlinearities. Such a…

偏微分方程分析 · 数学 2021-04-09 Swann Marx , Lucas Brivadis , Daniele Astolfi

We present a linear model, which mimics the response of a spatially extended dissipative medium to a distant perturbation, and investigate its dynamics under delayed feedback control. The time a perturbation needs to propagate to a…

适应与自组织系统 · 物理学 2018-11-08 Josua Grawitter , Reinier van Buel , Christian Schaaf , Holger Stark

There exist many ways to stabilize an infinite-dimensional linear autonomous control systems when it is possible. Anyway, finding an exponentially stabilizing feedback control that is as simple as possible may be a challenge. The Riccati…

最优化与控制 · 数学 2019-06-26 Emmanuel Trélat , Gengsheng Wang , Yashan Xu

This paper addresses the problem of robust control of a linear discrete-time system subject to bounded disturbances and to measurement and control budget constraints. Using Q-parameterization and a polytope containment method, we prove that…

最优化与控制 · 数学 2021-09-23 Antoine Aspeel , Kwesi Rutledge , Raphaël M. Jungers , Benoit Macq , Necmiye Özay

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…

最优化与控制 · 数学 2022-12-12 Georges Bastin , Jean-Michel Coron , Amaury Hayat

In this article, we consider a fundamental decentralized optimal control problem, which we call the two-player problem. Two subsystems are interconnected in a nested information pattern, and output feedback controllers must be designed for…

系统与控制 · 计算机科学 2015-07-10 Laurent Lessard , Sanjay Lall

It is a well known fact that finite time optimal controllers, such as MPC does not necessarily result in closed loop stable systems. Within the MPC community it is common practice to add a final state constraint and/or a final state penalty…

最优化与控制 · 数学 2016-04-05 Daniel Simon , Johan Löfberg

This paper addresses the problem of designing an optimal output feedback controller with a specified controller structure for linear time-invariant (LTI) systems to maximize the passivity level for the closed-loop system, in both…

系统与控制 · 电气工程与系统科学 2019-07-31 Lanlan Su , Vijay Gupta , Panos Antsaklis

The stability analysis of a class of discontinuous discrete-time systems is studied in this paper. The system under study is modeled as a feedback interconnection of a linear system and a set-valued nonlinearity. An equivalent…

系统与控制 · 电气工程与系统科学 2022-08-12 Francesco Ferrante , Giorgio Valmorbida

We study the output feedback exponential stabilization of a one-dimensional unstable wave equation, where the boundary input, given by the Neumann trace at one end of the domain, is the sum of the control input and the total disturbance.…

最优化与控制 · 数学 2017-06-08 Hua-Cheng Zhou , George Weiss

Recently, [2] proved that the closed-loop system resulting from the output proportional feedback stabilization of a class of delayed neural fields is input-to-state stable (ISS) for sufficiently high gain, subject to the existence of an…

最优化与控制 · 数学 2023-01-09 Lucas Brivadis , Cyprien Tamekue , Antoine Chaillet , Jean Auriol

This paper considers the problem of regulating a dynamical system to equilibria that are defined as solutions of an input- and state-constrained optimization problem. To solve this regulation task, we design a state feedback controller…

系统与控制 · 电气工程与系统科学 2023-12-14 Yiting Chen , Liliaokeawawa Cothren , Jorge Cortes , Emiliano Dall'Anese

This paper studies static output feedback stabilization of continuous-time (incrementally) passive nonlinear systems where the control actions can only be chosen from a discrete (and possibly finite) set of points. For this purpose, we are…

最优化与控制 · 数学 2024-06-03 M. Z. Almuzakki , B. Jayawardhana , A. Tanwani

In this paper, we discuss the state feedback output regulation problem (SFRP) for infinite-dimensional linear control systems with infinite-dimensional exosystems. Under the polynomial stabilizability assumption, sufficient and necessary…

最优化与控制 · 数学 2012-07-16 S. Boulite , H. Bouslous , L. Maniar , R. Saij

This paper deals with the backstepping design of observer-based compensators for parabolic ODE-PDE-ODE systems. The latter consist of n coupled parabolic PDEs with distinct diffusion coefficients and spatially-varying coefficients, that are…

系统与控制 · 电气工程与系统科学 2020-08-28 Joachim Deutscher , Nicole Gehring

In this paper, we present some preliminary results for compositional analysis of heterogeneous systems containing both discrete state models and continuous systems using consistent notions of dissipativity and passivity. We study the…

最优化与控制 · 数学 2016-11-15 Xiangru Xu , Necmiye Ozay , Vijay Gupta

This paper is concerned with the output feedback exponential stabilization for a flexible beam with tip mass. When there is no disturbance, it is shown that only one non-collocated measurement is enough to exponentially stabilize the…

最优化与控制 · 数学 2022-04-12 Zhan-Dong Mei

This paper addresses the problem of row-by-row (or diagonal) decoupling of discrete-time linear multi-input multi-output systems with periodic time-varying coefficients using periodic state feedback. Previous solutions have tackled…

系统与控制 · 电气工程与系统科学 2025-07-08 Vladimír Kučera

The complexity of modern control systems necessitates architectures that achieve high performance while ensuring robust stability, particularly for nonlinear systems. In this work, we tackle the challenge of designing output-feedback…

系统与控制 · 电气工程与系统科学 2025-06-16 Clara Lucía Galimberti , Luca Furieri , Giancarlo Ferrari-Trecate