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We exploit a novel approximation scheme to obtain a new and compact formula for the parameters underlying coherent-state control of the evolution of a pair of entangled two-level systems. It is appropriate for long times and for relatively…

量子物理 · 物理学 2010-08-24 Muhammed Yonac , Joseph H. Eberly

We introduce a finite dimensional version of backstepping controller design for stabilizing solutions of PDEs from boundary. Our controller uses only a finite number of Fourier modes of the state of solution, as opposed to the classical…

最优化与控制 · 数学 2024-12-30 Varga Kalantarov , Türker Özsarı , Kemal Cem Yılmaz

Designing a static state-feedback controller subject to structural constraint achieving asymptotic stability is a relevant problem with many applications, including network decentralized control, coordinated control, and sparse feedback…

最优化与控制 · 数学 2021-06-03 Francesco Ferrante , Fabrizio Dabbene , Chiara Ravazzi

We study the control of networked systems with the goal of optimizing both transient and steady-state performances while providing stability guarantees. Linear proportional-integral (PI) controllers are almost always used in practice, but…

系统与控制 · 电气工程与系统科学 2023-06-01 Wenqi Cui , Yan Jiang , Baosen Zhang , Yuanyuan Shi

The implementation of a combination of continuous weak measurement and classical feedback provides a powerful tool for controlling the evolution of quantum systems. In this work, we investigate the potential of this approach from three…

量子气体 · 物理学 2021-12-17 Jeremy T. Young , Alexey V. Gorshkov , I. B. Spielman

In inverse optimal control, the optimality of a given feedback stabilizing controller is a byproduct of the choice of a meaningful, a posteriori defined, cost functional. This allows for a simple tuning comparable to linear quadratic…

最优化与控制 · 数学 2023-05-30 Taouba Jouini , Anders Rantzer , Emma Tegling

We give an introduction to feedback control in quantum systems, as well as an overview of the variety of applications which have been explored to date. This introductory review is aimed primarily at control theorists unfamiliar with quantum…

量子物理 · 物理学 2007-05-23 Kurt Jacobs

In this review paper, we survey the main concepts and some of the recent developments in quantum feedback control. For consistency and clarity, essential ideas and notations in the theory of open quantum systems and quantum stochastic…

量子物理 · 物理学 2012-10-02 L. D. Tóth

We provide sufficient conditions for the approximate controllability of infinite-dimensional quantum control systems corresponding to form perturbations of the drift Hamiltonian modulated by a control function. We rely on previous results…

最优化与控制 · 数学 2025-04-02 Aitor Balmaseda , Davide Lonigro , Juan Manuel Pérez-Pardo

The aim of this work is to design an explicit finite dimensional boundary feedback controller for locally exponentially stabilizing the equilibrium solutions to Fisher's equation in both $L^2(0,1)$ and $H^1(0,1)$. The feedback controller is…

最优化与控制 · 数学 2016-04-28 Hanbing Liu , Peng Hu , Munteanu Ionut

This work is devoted to the problem of boundary stabilization of a mixture of two viscous and incompressible fluids in a three dimensional channel-like domain $(x,y,z)\in \mathbb{R}\times (0,1)\times\mathbb{R}$. The model consists of the…

最优化与控制 · 数学 2020-11-19 Ionut Munteanu

Learning controllers from data for stabilizing dynamical systems typically follows a two step process of first identifying a model and then constructing a controller based on the identified model. However, learning models means identifying…

最优化与控制 · 数学 2024-06-19 Steffen W. R. Werner , Benjamin Peherstorfer

Non-overshooting stabilization is a form of safe control where the setpoint chosen by the user is at the boundary of the safe set. Exponential non-overshooting stabilization, including suitable extensions to systems with deterministic and…

系统与控制 · 电气工程与系统科学 2022-02-17 Andrey Polyakov , Miroslav Krstic

Fault tolerant quantum computing relies on the ability to detect and correct errors, which in quantum error correction codes is typically achieved by projectively measuring multi-qubit parity operators and by conditioning operations on the…

Selected results for the stability and optimal control of abstract switched systems in Banach and Hilbert space are reviewed. The dynamics are typically given in a piecewise sense by a family of nonlinearly perturbed evolutions of strongly…

最优化与控制 · 数学 2018-02-23 Falk M. Hante

This paper presents the analysis of the stability properties of PID controllers for dynamical systems with multiple state delays, focusing on the mathematical characterization of the potential sensitivity of stability with respect to…

最优化与控制 · 数学 2020-09-08 Pieter Appeltans , Silviu-Iulian Niculescu , Wim Michiels

This paper proposes a novel learning-based approach for achieving exponential stabilization of nonlinear control-affine systems. We leverage the Control Contraction Metrics (CCMs) framework to co-synthesize Neural Contraction Metrics (NCMs)…

系统与控制 · 电气工程与系统科学 2024-03-27 Muhammad Zakwan , Liang Xu , Giancarlo Ferrari-Trecate

We describe the formalism for optimally estimating and controlling both the state of a spin ensemble and a scalar magnetic field with information obtained from a continuous quantum limited measurement of the spin precession due to the…

量子物理 · 物理学 2007-05-23 John K. Stockton , JM Geremia , Andrew C. Doherty , H. Mabuchi

The problem of stabilization of a system of coupled PDEs of the forth-order by means of boundary control is investigated. The considered setup arises from the classical Euler-Bernoulli beam model, and constitutes a generalization of…

系统与控制 · 电气工程与系统科学 2020-01-17 Andrea Cristofaro , Francesco Ferrante

This paper investigates the decentralized stabilization problem for a class of interconnected systems in the presence of non-triangular structural uncertainties and time-varying parameters, where each subsystem exchanges information only…

系统与控制 · 电气工程与系统科学 2022-08-02 Libei Sun , Xiucai Huang , Yongduan Song