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A learning approach for optimal feedback gains for nonlinear continuous time control systems is proposed and analysed. The goal is to establish a rigorous framework for computing approximating optimal feedback gains using neural networks.…

最优化与控制 · 数学 2020-08-27 Karl Kunisch , Daniel Walter

A Lyapunov-based method is presented for stabilizing and controlling of closed quantum systems. The proposed method is constructed upon a novel quantum Lyapunov function of the system state trajectory tracking error. A positive-definite…

量子物理 · 物理学 2021-02-02 Elham Jamalinia , Peyman Azodi , Alireza Khayatian , Peyman Setoodeh

In this paper, adaptive neural control (ANC) is investigated for a class of strict-feedback nonlinear stochastic systems with unknown parameters, unknown nonlinear functions and stochastic disturbances. The new controller of adaptive neural…

系统与控制 · 计算机科学 2017-02-08 Chao-Yang Chena , Wei-Hua Gui , Zhi-Hong Guan , Ru-Liang Wang , Shao-Wu Zhou

In this paper, we propose a novel sampling control framework based on the emulation technique where the sampling error is regarded as an auxiliary input to the emulated system. Utilizing the supremum norm of sampling error, the design of…

最优化与控制 · 数学 2022-05-02 Lijun Zhu , Zhiyong Chen

Measurement and estimation of parameters are essential for science and engineering, where one of the main quests is to find systematic schemes that can achieve high precision. While conventional schemes for quantum parameter estimation…

量子物理 · 物理学 2021-04-29 Han Xu , Junning Li , Liqiang Liu , Yu Wang , Haidong Yuan , Xin Wang

We consider the problem of stabilization of a linear system, under state and control constraints, and subject to bounded disturbances and unknown parameters in the state matrix. First, using a simple least square solution and available…

系统与控制 · 电气工程与系统科学 2020-07-22 Edouard Leurent , Denis Efimov , Odalric-Ambrym Maillard

We address the tracking problem for a class of uncertain non-affine nonlinear systems with high relative degrees, performing non-repetitive tasks. We propose a rigorously proven, robust adaptive learning control scheme that relies on a…

系统与控制 · 电气工程与系统科学 2026-02-03 Shuai Gao , Dong Shen , Abdelhamid Tayebi

Feedback control of quantum mechanical systems must take into account the probabilistic nature of quantum measurement. We formulate quantum feedback control as a problem of stochastic nonlinear control by considering separately a quantum…

量子物理 · 物理学 2007-05-23 Ramon van Handel , John K. Stockton , Hideo Mabuchi

Topological properties of quantum systems are one of the most intriguing emerging phenomena in condensed matter physics. A crucial property of topological systems is the symmetry-protected robustness towards local noise. Experiments have…

量子物理 · 物理学 2022-12-05 Guliuxin Jin , Eliska Greplova

Stabilizing unstable periodic orbits in a chaotic invariant set not only reveals information about its structure but also leads to various interesting applications. For the successful application of a chaos control scheme, convergence speed…

适应与自组织系统 · 物理学 2016-10-10 Christian Bick , Marc Timme , Christoph Kolodziejski

For systems with uncertain linear models, bounded additive disturbances and state and control constraints, a robust model predictive control algorithm incorporating online model adaptation is proposed. Sets of model parameters are…

最优化与控制 · 数学 2020-07-16 Xiaonan Lu , Mark Cannon , Denis Koksal-Rivet

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

This paper focuses on adaptive control of the discrete-time linear quadratic regulator (adaptive LQR). Recent literature has made significant contributions in proving non-asymptotic convergence rates, but existing approaches have a few…

系统与控制 · 电气工程与系统科学 2026-04-27 Peter A. Fisher , Anuradha M. Annaswamy

For constrained linear systems with bounded disturbances and parametric uncertainty, we propose a robust adaptive model predictive control strategy with online parameter estimation. Constraints enforcing persistently exciting closed loop…

最优化与控制 · 数学 2023-03-08 Xiaonan Lu , Mark Cannon

This paper is concerned with application of the classical Youla-Ku\v{c}era parameterization to finding a set of linear coherent quantum controllers that stabilize a linear quantum plant. The plant and controller are assumed to represent…

量子物理 · 物理学 2015-03-10 Arash Kh. Sichani , Ian R. Petersen , Igor G. Vladimirov

Results on the problem of stabilizing a nonlinear continuous-time system by a finite number of control or measurement values are presented. The basic tool is a discontinuous version of the so-called semi-global backstepping lemma. We derive…

最优化与控制 · 数学 2010-04-13 C. De Persis

Data-driven control strategies for dynamical systems with unknown parameters are popular in theory and applications. An essential problem is to prevent stochastic linear systems becoming destabilized, due to the uncertainty of the…

系统与控制 · 计算机科学 2019-05-20 Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis

Adaptive feedback schemes are promising for quantum-enhanced measurements yet are complicated to design. Machine learning can autonomously generate algorithms in a classical setting. Here we adapt machine learning for quantum information…

量子物理 · 物理学 2010-02-25 Alexander Hentschel , Barry C. Sanders

This paper summarizes several recent developments in the area of estimation and robust control of quantum systems and outlines several directions for future research. Quantum state tomography via linear regression estimation and adaptive…

系统与控制 · 计算机科学 2018-06-11 Daoyi Dong , Yuanlong Wang

Quantum machine learning seeks to leverage quantum computers to improve upon classical machine learning algorithms. Currently, robust uncertainty quantification methods remain underdeveloped in the quantum domain, despite the critical need…

机器学习 · 计算机科学 2026-05-18 Douglas Spencer , Samual Nicholls , Michele Caprio