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In this paper we examine a mutual control problem for systems of two abstract evolution equations subject to a proportionality final condition. Related observability and semi-observability problems are discussed. The analysis employs a…

偏微分方程分析 · 数学 2024-09-17 Radu Precup , Andrei Stan

In this article, we consider a stochastic linear quadratic control problem with partial observation. A near optimal control in the weak formulation is characterized. The main features of this paper are the presence of the control in the…

最优化与控制 · 数学 2026-02-27 Jingrui Sun , Jiaqiang Wen , Jie Xiong , Wen Xu

In the present contribution, a feedback control law is studied for a quasilinear parabolic equation. First, we prove the well-posedness and some regularity results for the Cauchy-Neumann problem for this equation, modified by adding an…

偏微分方程分析 · 数学 2016-06-17 Pierluigi Colli , Gianni Gilardi , Jürgen Sprekels

In adaptive dynamical networks, the dynamics of the nodes and the edges influence each other. We show that we can treat such systems as a closed feedback loop between edge and node dynamics. Using recent advances on the stability of…

适应与自组织系统 · 物理学 2024-11-25 Nina Kastendiek , Jakob Niehues , Robin Delabays , Thilo Gross , Frank Hellmann

The purpose of this paper is three-fold. Firstly we attack a nonlinear interface problem on an unbounded domain with nonmonotone set-valued transmission conditions. The investigated problem involves a nonlinear monotone partial differential…

最优化与控制 · 数学 2022-12-14 Joachim Gwinner

In this paper, we study the tracking controllability of a 1D parabolic type equation. Notably, with controls acting on the boundary, we seek to approximately control the solution of the equation on specific points of the domain. We prove…

最优化与控制 · 数学 2026-03-31 Jone Apraiz , Jon Asier Bárcena-Petisco , Judit Muñoz-Matute

This paper considers the problem of controlling a piecewise continuously differentiable system subject to time-varying uncertainties. The uncertainties are decomposed into a time-invariant, linearly-parameterized portion and a time-varying…

系统与控制 · 电气工程与系统科学 2025-03-12 Ying-Chun Chen , Craig Woolsey

We propose a novel continuous-time algorithm for inequality-constrained convex optimization inspired by proportional-integral control. Unlike the popular primal-dual gradient dynamics, our method includes a proportional term to control the…

最优化与控制 · 数学 2024-09-12 V. Cerone , S. M. Fosson , S. Pirrera , D. Regruto

Collocated adaptive control of underactuated systems is still a main concern for the control community, all the more so because the collocated dynamics is no longer linear with respect to the constant base parameters. This work extends and…

系统与控制 · 计算机科学 2014-05-21 Francesco Romano , Daniele Pucci , Francesco Nori

We consider the problem of computing optimal linear control policies for linear systems in finite-horizon. The states and the inputs are required to remain inside pre-specified safety sets at all times despite unknown disturbances. In this…

系统与控制 · 计算机科学 2019-12-17 Luca Furieri , Maryam Kamgarpour

This article presents a constrained policy optimization approach for the optimal control of systems under nonstationary uncertainties. We introduce an assumption that we call Markov embeddability that allows us to cast the stochastic…

最优化与控制 · 数学 2026-05-11 Sungho Shin , François Pacaud , Emil Contantinescu , Mihai Anitescu

In this paper, we study some controllability and observability properties for a coupled system of time-discrete fourth- and second-order parabolic equations. This system can be regarded as a simplification of the well-known stabilized…

偏微分方程分析 · 数学 2021-03-24 Víctor Hernández-Santamaría

This paper provides a constructive passivity-based control approach to solve the set-point regulation problem for input-affine continuous nonlinear systems while considering saturation in the inputs. As customarily in passivity-based…

系统与控制 · 电气工程与系统科学 2021-09-23 Pablo Borja , Carmen Chan-Zheng , Jacquelien M. A. Scherpen

Distributed formation maneuver control refers to the problem of maneuvering a group of agents to change their formation shape by adjusting the motions of partial agents, where the controller of each agent only requires local information…

系统与控制 · 电气工程与系统科学 2026-05-21 Tao He , Gangshan Jing

This paper presents a new geometric adaptive control system with state inequality constraints for the attitude dynamics of a rigid body. The control system is designed such that the desired attitude is asymptotically stabilized, while the…

最优化与控制 · 数学 2017-11-28 Shankar Kulumani , Taeyoung Lee

An impulsive feedback-adaptive control is developed in order to drive trajectories of a dynamical system towards an invariant manifold with fixed and spaced impulsive controls. The approach requires the explicit knowledge of the set of…

动力系统 · 数学 2024-01-09 C. C. Silva , J. Marao , A. Figueiredo , T. M. Rocha Filho

In this paper, we study the controllability and stabilizability properties of the Kolmogorov forward equation of a continuous time Markov chain (CTMC) evolving on a finite state space, using the transition rates as the control parameters.…

系统与控制 · 计算机科学 2017-03-29 Karthik Elamvazhuthi , Vaibhav Deshmukh , Matthias Kawski , Spring Berman

Feedback control is an essential component of many modern technologies and provides a key capability for emergent quantum technologies. We extend existing approaches of direct feedback control in which the controller applies a function…

量子物理 · 物理学 2020-12-15 Hui Chen , Hanhan Li , Felix Motzoi , Leigh S. Martin , K. Birgitta Whaley , Mohan Sarovar

It is a longstanding unsolved problem to characterize the optimal feedback controls for general linear quadratic optimal control problem of stochastic evolution equation with random coefficients. A solution to this problem is given in [21]…

最优化与控制 · 数学 2022-02-22 Qi Lü , Tianxiao Wang

This paper is concerned with the output feedback stabilization of a reaction-diffusion equation by means of bounded control inputs in the presence of saturations. Using a finite-dimensional controller composed of an observer coupled with a…

最优化与控制 · 数学 2022-02-02 Hugo Lhachemi , Christophe Prieur