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In this paper, we present some controllability results for the heat equation in the framework of hierarchic control. We present a Stackelberg strategy combining the concept of controllability with robustness: the main control (the leader)…

Optimization and Control · Mathematics 2020-10-20 Víctor Hernández-Santamaría , Liliana Peralta

In this paper, we present a control-design method based on the energy-Casimir method for infinite-dimensional, boundary-actuated port-Hamiltonian systems with two-dimensional spatial domain and second-order Hamiltonian. The resulting…

Optimization and Control · Mathematics 2024-03-26 Tobias Malzer , Lukas Ecker , Markus Schöberl

Solving flow-related inverse problems such as topology optimization problems is intricate but significant in various engineering fields. The lattice Boltzmann method (LBM) and the related adjoint method are highly suitable to perform…

Numerical Analysis · Mathematics 2025-06-10 Ji-Wang Luo , Li Chen , Kentaro Yaji , Wen-Quan Tao

Boundary feedback stabilisation of linear port-Hamiltonian systems on an interval is considered. Generation and stability results already known for linear feedback are extended to nonlinear dissipative feedback, both to static feedback…

Analysis of PDEs · Mathematics 2019-05-30 Björn Augner

We consider the linear matrix inequality (LMI) problem of $H_\infty$ output feedback control problem for a generalized plant whose control input, measured output, disturbance input, and controlled output are scalar. We provide an explicit…

Optimization and Control · Mathematics 2020-10-13 Hayato Waki , Yoshio Ebihara , Noboru Sebe

This paper presents a low-dimensional observer design for stable, single-input single-output, continuous-time linear time-invariant (LTI) systems. Leveraging the model reduction by moment matching technique, we approximate the system with a…

Systems and Control · Electrical Eng. & Systems 2025-08-04 M. F. Shakib , M. Khalil , R. Postoyan

We study weakly stable semilinear hyperbolic boundary value problems with highly oscillatory data. Here weak stability means that exponentially growing modes are absent, but the so-called uniform Lopatinskii condition fails at some boundary…

Analysis of PDEs · Mathematics 2016-01-20 Jean-Francois Coulombel , Olivier Guès , Mark Williams

We investigate a class of higher-order nonlinear dispersive equations posed on the circle, subject to additive forcing by a finite-dimensional control. Our main objective is to establish approximate controllability by using the…

Analysis of PDEs · Mathematics 2025-04-25 Debanjit Mondal

For most finite element simulations, boundary-conforming meshes have significant advantages in terms of accuracy or efficiency. This is particularly true for complex domains. However, with increased complexity of the domain, generating a…

Numerical Analysis · Mathematics 2021-04-07 Jan Helmig , Fabian Key , Marek Behr , Stefanie Elgeti

A small-gain approach is proposed to analyze closed-loop stability of linear diffusion-reaction systems under finite-dimensional observer-based state feedback control. For this, the decomposition of the infinite-dimensional system into a…

Systems and Control · Electrical Eng. & Systems 2022-02-14 Lars Grüne , Thomas Meurer

Data-driven control approaches for the minimization of energy consumption of buildings have the potential to significantly reduce deployment costs and increase uptake of advanced control in this sector. A number of recent approaches based…

Systems and Control · Electrical Eng. & Systems 2023-03-23 Yingzhao Lian , Jicheng Shi , Manuel Koch , Colin Neil Jones

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…

Optimization and Control · Mathematics 2021-08-18 Hugo Lhachemi , Christophe Prieur , Robert Shorten

This paper solves the problem of output feedback stabilization for a cascade of N heat equations that are coupled at the boundary, the input being a scalar boundary control applied to the first heat equation of the cascade, and the scalar…

Optimization and Control · Mathematics 2025-06-13 Hugo Lhachemi , Christophe Prieur , Emmanuel Trélat

Index spaces serve as valuable metric models for studying properties relevant to various applications, such as social science or economics. These properties are represented by real Lipschitz functions that describe the degree of association…

Methodology · Statistics 2024-02-20 R. Arnau , J. M. Calabuig , Álvaro González , Enrique A. Sánchez Pérez

This paper focuses on designing completely decentralized load frequency control (LFC) for multi-area power systems to achieve global optimized performance. To this end, a new concept of integrated design is introduced for designing the…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Xianxian Zhao , Jianglin Lan

This paper proposes a novel unified interval-valued observer synthesis approach for locally Lipschitz nonlinear continuous-time (CT) and discrete-time (DT) systems with nonlinear observations. A key feature of our proposed observer, which…

Systems and Control · Electrical Eng. & Systems 2022-02-24 Mohammad Khajenejad , Fatima Shoaib , Sze Zheng Yong

The present paper addresses the topic of boundary output feedback stabilization of parabolic-type equations, governed by linear differential operators which can be diagonalized by the introduction of adequate weighting functions (by means…

Optimization and Control · Mathematics 2023-02-27 Hugo Lhachemi , Ionut Munteanu , Christophe Prieur

We present a formulation of measurement-based feedback control of a single quantum particle in one spatial dimension. An arbitrary linear combination of the position and momentum of the particle is continuously monitored, and feedback…

Quantum Physics · Physics 2022-12-26 Amy Rouillard , Anirudh Reddy , Humairah Bassa , Shamik Maharaj , Lajos Diosi , Thomas Konrad

Combined-resolution simulations are an effective way to study molecular properties across a range of length- and time-scales. These simulations can benefit from adaptive boundaries that allow the high-resolution region to adapt (change size…

Computational Physics · Physics 2018-05-09 Jason A. Wagoner , Vijay S. Pande

Real-world control applications in complex and uncertain environments require adaptability to handle model uncertainties and robustness against disturbances. This paper presents an online, output-feedback, critic-only, model-based…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Tochukwu Elijah Ogri , S. M. Nahid Mahmud , Zachary I. Bell , Rushikesh Kamalapurkar