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Many techniques originally developed in the context of deterministic control theory have been recently applied to the quest for optimal protocols in stochastic processes. Given a system subject to environmental fluctuations, one may ask…

Linear-Quadratic-Gaussian (LQG) control is concerned with the design of an optimal controller and estimator for linear Gaussian systems with imperfect state information. Standard LQG assumes the set of sensor measurements, to be fed to the…

最优化与控制 · 数学 2020-05-18 Vasileios Tzoumas , Luca Carlone , George J. Pappas , Ali Jadbabaie

No quantum measurement can give full information on the state of a quantum system; hence any quantum feedback control problem is neccessarily one with partial observations, and can generally be converted into a completely observed control…

数学物理 · 物理学 2007-05-23 Mazyar Mirrahimi , Ramon van Handel

Control over the quantum dynamics of chaotic kicked rotor systems is demonstrated. Specifically, control over a number of quantum coherent phenomena is achieved by a simple modification of the kicking field. These include the enhancement of…

量子物理 · 物理学 2009-11-10 Jiangbin Gong , Hans Jakob Worner , Paul Brumer

The paper studies a class of quadratic optimal control problems for partially observable linear dynamical systems. In contrast to the full information case, the control is required to be adapted to the filtration generated by the…

最优化与控制 · 数学 2022-03-01 Jingrui Sun , Jie Xiong

This paper investigates a new class of homogeneous stochastic control problems with cone control constraints, extending the classical homogeneous stochastic linear-quadratic (LQ) framework to encompass nonlinear system dynamics and…

最优化与控制 · 数学 2025-07-30 Ying Hu , Xiaomin Shi , Zuo Quan Xu

This paper considers the stochastic linear quadratic optimal control problem in which the control domain is nonconvex. By the functional analysis and convex perturbation methods, we establish a novel maximum principle. The application of…

最优化与控制 · 数学 2017-11-01 Shaolin Ji , Xiaole Xue

We study the value of stochastic predictions in online optimal control with random disturbances. Prior work provides performance guarantees based on prediction error but ignores the stochastic dependence between predictions and…

最优化与控制 · 数学 2025-06-06 Yiheng Lin , Christopher Yeh , Zaiwei Chen , Adam Wierman

The fragmentation of diatomic molecules under a stochastic force is investigated both classically and quantum mechanically, focussing on their dissociation probabilities. It is found that the quantum system is more robust than the classical…

原子物理 · 物理学 2009-11-11 Anatole Kenfack , Jan M Rost

Torque control algorithms which consider robot dynamics and contact constraints are important for creating dynamic behaviors for humanoids. As computational power increases, algorithms tend to also increase in complexity. However, it is not…

机器人学 · 计算机科学 2017-01-31 Sean Mason , Nicholas Rotella , Stefan Schaal , Ludovic Righetti

Linear quadratic Gaussian (LQG) control is a well-established method for optimal control through state estimation, particularly in stabilizing an inverted pendulum on a cart. In standard laboratory setups, sensor redundancy enables direct…

系统与控制 · 电气工程与系统科学 2026-05-19 Daniel Engelsman , Itzik Klein

As it is popular known, Riccati equation is the key basic tool for optimal control in the modern control theory. The solvability conditions of optimal control, stabilization conditions and controller design are all based on the Riccati…

最优化与控制 · 数学 2017-12-27 Huanshui Zhang , Juanjuan Xu

In this paper, we study the stochastic optimal control problem for control system with time-varying delay. The corresponding stochastic differential equation is a kind of stochastic differential delay equation. We prove the existence and…

最优化与控制 · 数学 2024-01-17 Yuhang Li , Yuecai Han

In this two-part paper, we identify a broad class of decentralized output-feedback LQG systems for which the optimal control strategies have a simple intuitive estimation structure and can be computed efficiently. Roughly, we consider the…

系统与控制 · 计算机科学 2014-08-13 Ashutosh Nayyar , Laurent Lessard

We introduce a variational algorithm to estimate the likelihood of a rare event within a nonequilibrium molecular dynamics simulation through the evaluation of an optimal control force. Optimization of a control force within a chosen basis…

统计力学 · 物理学 2021-01-14 Avishek Das , David T. Limmer

Unlike traditional model-based reinforcement learning approaches that estimate system parameters from data, non-model-based data-driven control learns the optimal policy directly from input-state data without any intermediate model…

最优化与控制 · 数学 2026-05-05 Leilei Cui , Zhong-Ping Jiang , Petter N. Kolm , Grégoire G. Macqueron

In this paper LQG control over unreliable communication links is derived. That is to say, the communication channels between the controller and the actuators and between the sensors and the controller are unreliable. Previous solutions to…

最优化与控制 · 数学 2021-03-09 Fredrik Bengtsson , Torsten Wik

This paper examines mean field linear-quadratic-Gaussian (LQG) social optimum control with volatility-uncertain common noise. The diffusion terms in the dynamics of agents contain an unknown volatility process driven by a common noise. We…

最优化与控制 · 数学 2019-12-16 Jianhui Huang , Bing-Chang Wang , Jiongmin Yong

The shaking force balancing is a well-known problem in the design of high-speed robotic systems because the variable dynamic loads cause noises, wear and fatigue of mechanical structures. Different solutions, for full or partial shaking…

机器人学 · 计算机科学 2020-11-17 Jing Geng , Vigen Arakelian , Damien Chablat

The connections between optimal control and Bayesian inference have long been recognised, with the field of stochastic (optimal) control combining these frameworks for the solution of partially observable control problems. In particular,…

最优化与控制 · 数学 2022-03-10 Manuel Baltieri