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In this paper, we discuss our recent works on the null-controllability, the exact controllability, and the stabilization of linear hyperbolic systems in one dimensional space using boundary controls on one side for the optimal time. Under…

最优化与控制 · 数学 2020-12-11 Jean-Michel Coron , Hoai-Minh Nguyen

This paper addresses the design of robust dynamic output feedback control for highly uncertain systems in which the unknown disturbance might be excited by the derivative of the control input. This context appears in many industrial…

系统与控制 · 计算机科学 2016-10-20 Mazen Alamir , Jean Dobrowolski , Amgad tarek Mohammed

The minimum-time control problem consists in finding a control policy that will drive a given dynamic system from a given initial state to a given target state (or a set of states) as quickly as possible. This is a well-known challenging…

系统与控制 · 计算机科学 2015-03-19 Laurent Bako , Dulin Chen , Stéphane Lecoeuche

The stabilization of nonlinear systems under zero-state-detectability assumption or its analogues is considered. The proposed supervisory control provides a finite time practical stabilization of output and it is based on uniting local and…

最优化与控制 · 数学 2013-04-16 Denis Efimov , Alexander L. Fradkov

This paper is devoted to the development of adaptive control schemes for uncertain discrete-time systems, which guarantee robust, global, exponential convergence to the desired equilibrium point of the system. The proposed control scheme…

最优化与控制 · 数学 2015-09-02 Iasson Karafyllis , Maria Kontorinaki , Markos Papageorgiou

We study the problem of robust global stabilization in control-affine systems, focusing on dynamic uncertainties in the control directions \emph{and} the presence of topological obstructions that prevent the existence of smooth global…

最优化与控制 · 数学 2024-12-10 Mahmoud Abdelgalil , Jorge I. Poveda

This paper deals with the finite-time stabilization of a class of nonlinear infinite-dimensional systems. First, we consider a bounded matched perturbation in its linear form. It is shown that by using a set-valued function, both the…

系统与控制 · 电气工程与系统科学 2025-09-03 Kamal Fenza , Moussa Labbadi , Mohamed Ouzahra

The paper is concerned with the boundary controllability of entropy weak solutions to hyperbolic systems of conservation laws. We prove a general result on the asymptotic stabilization of a system near a constant state. On the other hand,…

最优化与控制 · 数学 2007-05-23 Alberto Bressan , Giuseppe Maria Coclite

We consider the problem of designing a feedback controller which robustly regulates an LTI system to an optimal operating point in the presence of unmeasured disturbances. A general design framework based on so-called optimality models was…

最优化与控制 · 数学 2022-08-18 John W. Simpson-Porco

Achieving optimal steady-state performance in real-time is an increasingly necessary requirement of many critical infrastructure systems. In pursuit of this goal, this paper builds a systematic design framework of feedback controllers for…

最优化与控制 · 数学 2017-10-30 Zachary E. Nelson , Enrique Mallada

Feedback control (based on the quantum continuous measurement) of quantum systems inevitably suffers from estimation delays. In this paper we give a delay-dependent stability criterion for a wide class of nonlinear stochastic systems…

量子物理 · 物理学 2011-12-05 Kenji Kashima , Naoki Yamamoto

Much recent progress has been achieved for stabilization of linear and nonlinear systems with input delays that are long and dependent on either time or the plant state---provided the dependence is known. In this paper we consider the delay…

最优化与控制 · 数学 2012-09-11 Nikolaos Bekiaris-Liberis , Miroslav Krstic

We examine the problem of two-point boundary optimal control of nonlinear systems over finite-horizon time periods with unknown model dynamics by employing reinforcement learning. We use techniques from singular perturbation theory to…

最优化与控制 · 数学 2023-06-12 Vasanth Reddy , Hoda Eldardiry , Almuatazbellah Boker

In this paper, we explore the conditions for asymptotic stability of the hybrid closed-loop system resulting from the interconnection of a nonlinear plant, an intelligent sensor that generates finite-time convergent estimates of the plant…

系统与控制 · 电气工程与系统科学 2024-11-15 Xuanzhi Zhu , Pedro Casau , Carlos Silvestre

Feedback optimization optimizes the steady state of a dynamical system by implementing optimization iterations in closed loop with the plant. It relies on online measurements and limited model information, namely, the input-output…

最优化与控制 · 数学 2025-09-09 Winnie Chan , Zhiyu He , Keith Moffat , Saverio Bolognani , Michael Muehlebach , Florian Dörfler

The finite-time control problem of quantum systems is investigated in this paper. We first define finite-time stability and present a finite-time Lyapunov stability criterion for finite-dimensional quantum systems in coherence vector…

量子物理 · 物理学 2020-05-27 Sen Kuang , Xiaoke Guan , Daoyi Dong

We will present a new general framework for robust and adaptive control that allows for distributed and scalable learning and control of large systems of interconnected linear subsystems. The control method is demonstrated for a linear…

系统与控制 · 计算机科学 2019-04-02 Dimitar Ho , John C. Doyle

This paper studies quantized control for discrete-time piecewise affine systems. For given stabilizing feedback controllers, we propose an encoding strategy for local stability. If the quantized state is near the boundaries of quantization…

系统与控制 · 计算机科学 2015-09-07 Masashi Wakaiki , Yutaka Yamamoto

It is a known fact that not all controllable systems can be asymptotically stabilized by a continuous static feedback. Several approaches have been developed throughout the last decades, including time-varying, dynamical and even…

最优化与控制 · 数学 2018-06-25 Pavel Osinenko , Lukas Beckenbach , Stefan Streif

We study nonlinear systems with observation errors. The main problem addressed in this paper is the design of feedbacks for globally asymptotically controllable (GAC) control affine systems that render the closed loop systems input to state…

最优化与控制 · 数学 2007-05-23 Michael Malisoff , Ludovic Rifford , Eduardo Sontag