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Iterative gradient-based optimization algorithms are widely used to solve difficult or large-scale optimization problems. There are many algorithms to choose from, such as gradient descent and its accelerated variants such as Polyak's Heavy…

最优化与控制 · 数学 2023-09-21 Bryan Van Scoy , Laurent Lessard

In formation control, triangular formations consisting of three autonomous agents serve as a class of benchmarks that can be used to test and compare the performances of different controllers. We present an algorithm that combines the…

系统与控制 · 计算机科学 2017-04-04 Hector Garcia de Marina , Zhiyong Sun , Ming Cao , Brian D. O. Anderson

Lyapunov-Krasowskii functionals are used to design quantized control laws for nonlinear continuous-time systems in the presence of constant delays in the input. The quantized control law is implemented via hysteresis to prevent chattering.…

最优化与控制 · 数学 2012-04-10 C. De Persis , F. Mazenc

This paper presents a constraint-lifting control framework for designing stabilizing controllers that guarantee the forward invariance of a prescribed safe set. State-of-the-art safety-enforcing methods, such as control barrier functions…

最优化与控制 · 数学 2026-04-29 Jhon Manuel Portella Delgado , Ankit Goel

The property that every control system should posses is stability, which translates into safety in real-life applications. A central tool in systems theory for synthesizing control laws that achieve stability are control Lyapunov functions…

其他计算机科学 · 计算机科学 2010-04-01 M. Lazar

The energy Casimir method is an effective controller design approach to stabilize port-Hamiltonian systems at a desired equilibrium. However, its application relies on the availability of suitable Casimir and Lyapunov functions, whose…

系统与控制 · 电气工程与系统科学 2022-03-29 Liang Xu , Muhammad Zakwan , Giancarlo Ferrari-Trecate

An open quantum walk formalism for dissipative quantum computing is presented. The approach is illustrated with the examples of the Toffoli gate and the Quantum Fourier Transform for 3 and 4 qubits. It is shown that the algorithms based on…

量子物理 · 物理学 2014-01-28 I. Sinayskiy , F. Petruccione

This paper provides a first example of constructing Lyapunov functions in a class of piecewise linear systems with limit cycles. The method of construction helps analyze and control complex oscillating systems through novel geometric means.…

混沌动力学 · 物理学 2013-07-01 Yian Ma , Ruoshi Yuan , Yang Li , Ping Ao , Bo Yuan

This paper presents a reinforcement learning-based neuroadaptive control framework for robotic manipulators operating under deferred constraints. The proposed approach improves traditional barrier Lyapunov functions by introducing a smooth…

机器人学 · 计算机科学 2025-03-20 Hamed Rahimi Nohooji , Abolfazl Zaraki , Holger Voos

Deploying Reinforcement Learning (RL) agents in the real-world require that the agents satisfy safety constraints. Current RL agents explore the environment without considering these constraints, which can lead to damage to the hardware or…

机器学习 · 计算机科学 2021-03-17 Harshit Sikchi , Wenxuan Zhou , David Held

In this work, we develop a framework aiming at designing quantum algorithms for combinatorial optimization problems while providing theoretical guarantees on their approximation ratios. The principal innovative aspect of our work is the…

量子物理 · 物理学 2025-12-29 Shengminjie Chen , Ziyang Li , Hongyi Zhou , Jialin Zhang , Wenguo Yang , Xiaoming Sun

Controller design for nonlinear systems with Control Lyapunov Function (CLF) based quadratic programs has recently been successfully applied to a diverse set of difficult control tasks. These existing formulations do not address the gap…

系统与控制 · 电气工程与系统科学 2021-03-09 Andrew J. Taylor , Victor D. Dorobantu , Yisong Yue , Paulo Tabuada , Aaron D. Ames

This paper focuses on the invariance control problem for discrete-time switched nonlinear systems. The proposed approach computes controlled invariant sets in a finite number of iterations and directly yields a partition-based invariance…

最优化与控制 · 数学 2016-09-01 Yinan Li , Jun Liu

A Pontryagin-based approach to solve a class of constrained Nonlinear Model Predictive Control problems is proposed which employs the method of barrier functions for dealing with the state constraints. Unlike the existing works in…

最优化与控制 · 数学 2022-03-31 Michele Pagone , Mattia Boggio , Carlo Novara , Anton Proskurnikov , Giuseppe C. Calafiore

The traditional quantum control theory focuses on linear quantum system. Here we show the effect of nonlinearity on quantum control of a two-level system, we find that the nonlinearity can change the controllability of quantum system.…

量子物理 · 物理学 2015-05-13 W. Wang , J. Shen , X. X. Yi

Quantum optimal control represents a powerful technique to enhance the performance of quantum experiments by engineering the controllable parameters of the Hamiltonian. However, the computational overhead for the necessary optimization of…

Control Lyapunov functions are a central tool in the design and analysis of stabilizing controllers for nonlinear systems. Constructing such functions, however, remains a significant challenge. In this paper, we investigate physics-informed…

系统与控制 · 电气工程与系统科学 2024-10-01 Jun Liu , Maxwell Fitzsimmons , Ruikun Zhou , Yiming Meng

Efficiently controlling linear Gaussian quantum (LGQ) systems is a significant task in both the study of fundamental quantum theory and the development of modern quantum technology. Here, we propose a general quantum-learning-control method…

量子物理 · 物理学 2024-06-11 Yu-Hong Liu , Yexiong Zeng , Qing-Shou Tan , Daoyi Dong , Franco Nori , Jie-Qiao Liao

This paper presents a novel control protocol for robust distance-based formation control with prescribed performance in which agents are subjected to unknown external disturbances. Connectivity maintenance and collision avoidance among…

系统与控制 · 电气工程与系统科学 2021-08-03 Farhad Mehdifar , Charalampos P. Bechlioulis , Farzad Hashemzadeh , Mahdi Baradarannia

Optimal control of two-qubit quantum systems attracts high interest due to applications ranging from two-qubit gate generation to optimization of receiver for transferring coherence matrices along spin chains. State preparation and…

量子物理 · 物理学 2025-02-21 Oleg Morzhin , Alexander Pechen
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