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Reinforcement learning considers the problem of finding policies that maximize an expected cumulative reward in a Markov decision process with unknown transition probabilities. In this paper we consider the problem of finding optimal…

机器学习 · 计算机科学 2020-10-19 Santiago Paternain , Juan Andres Bazerque , Alejandro Ribeiro

Recently, safe reinforcement learning (RL) with the actor-critic structure for continuous control tasks has received increasing attention. It is still challenging to learn a near-optimal control policy with safety and convergence…

机器学习 · 计算机科学 2024-02-06 Xinglong Zhang , Yaoqian Peng , Biao Luo , Wei Pan , Xin Xu , Haibin Xie

In this article, we discuss two algorithms tailored to discrete-time deterministic finite-horizon nonlinear optimal control problems or so-called deterministic trajectory optimization problems. Both algorithms can be derived from an…

最优化与控制 · 数学 2024-12-10 Mohammad Mahmoudi Filabadi , Tom Lefebvre , Guillaume Crevecoeur

We consider the problem of adaptively monitoring a wildfire front using a mobile agent (e.g., a drone), whose trajectory determines where sensor data is collected and thus influences the accuracy of fire propagation estimation. This is a…

机器人学 · 计算机科学 2026-02-24 Savvas Papaioannou , Panayiotis Kolios , Christos G. Panayiotou , Marios M. Polycarpou

This paper studies the synthesis of control policies for an agent that has to satisfy a temporal logic specification in a partially observable environment, in the presence of an adversary. The interaction of the agent (defender) with the…

系统与控制 · 电气工程与系统科学 2020-11-09 Bhaskar Ramasubramanian , Luyao Niu , Andrew Clark , Linda Bushnell , Radha Poovendran

We characterize the optimal control for a class of singular stochastic control problems as the unique solution to a related Skorokhod reflection problem. The considered optimization problems concern the minimization of a discounted cost…

最优化与控制 · 数学 2023-05-22 Jodi Dianetti , Giorgio Ferrari

This paper revisits a longstanding problem of interest concerning the distributed control of an epidemic process on human contact networks. Due to the stochastic nature and combinatorial complexity of the problem, finding optimal policies…

最优化与控制 · 数学 2022-12-12 Mohammad Mubarak , Cameron Nowzari

To ensure the usefulness of Reinforcement Learning (RL) in real systems, it is crucial to ensure they are robust to noise and adversarial attacks. In adversarial RL, an external attacker has the power to manipulate the victim agent's…

机器学习 · 计算机科学 2024-06-18 Jeremy McMahan , Young Wu , Xiaojin Zhu , Qiaomin Xie

Stochastic time-varying optimization is an integral part of learning in which the shape of the function changes over time in a non-deterministic manner. This paper considers multiple models of stochastic time variation and analyzes the…

最优化与控制 · 数学 2023-02-23 Ali Yekkehkhany , Han Feng , Donghao Ying , Javad Lavaei

In this paper, we propose a new policy iteration algorithm to compute the value function and the optimal controls of continuous time stochastic control problems. The algorithm relies on successive approximations using linear-quadratic…

最优化与控制 · 数学 2024-09-09 Dylan Possamaï , Ludovic Tangpi

We aim to increase the ability of a of coupled phase oscillators to maintain the synchronization when the system is affected by stochastic disturbances. We model the disturbances by Gaussian noise and use the mean first hitting time when…

适应与自组织系统 · 物理学 2023-04-26 Xian Wu , Kaihua Xi , Aijie Cheng , Hai Xiang Lin , Jan H. van Schuppen

This paper addresses the problem of computing optimal impedance schedules for legged locomotion tasks involving complex contact interactions. We formulate the problem of impedance regulation as a trade-off between disturbance rejection and…

机器人学 · 计算机科学 2021-01-26 Bilal Hammoud , Majid Khadiv , Ludovic Righetti

Controllable Markov chains describe the dynamics of sequential decision making tasks and are the central component in optimal control and reinforcement learning. In this work, we give the general form of an optimal policy for learning…

机器学习 · 计算机科学 2025-12-24 Peter N. Loxley

We consider a singular control problem that aims to maximize the expected cumulative rewards, where the instantaneous returns depend on the state of a controlled process. The contributions of this paper are twofold. Firstly, to establish…

最优化与控制 · 数学 2025-06-23 Mauricio Junca , Harold Moreno-Franco , Jose Luis Perez

With the increase of connectivity in power grid, a cascading failure may be triggered by the failure of a transmission line, which can lead to substantial economic losses and serious negative social impacts. Therefore, it is very important…

系统与控制 · 电气工程与系统科学 2020-12-01 Liang Yu , Zhen Gao , Shuqi Qin , Meng Zhang , Chao Shen , Xiaohong Guan , Dong Yue

In this paper, closed-loop entry guidance in a randomly perturbed atmosphere, using bank angle control, is posed as a stochastic optimal control problem. The entry trajectory, as well as the closed-loop controls, are both modeled as random…

系统与控制 · 电气工程与系统科学 2022-01-19 Jack Ridderhof , Panagiotis Tsiotras , Breanna J. Johnson

This paper addresses the problem of robust and optimal control for the class of nonlinear quadratic systems subject to norm-bounded parametric uncertainties and disturbances, and in presence of some amplitude constraints on the control…

系统与控制 · 计算机科学 2017-01-12 Merola Alessio , Cosentino Carlo , Colacino Domenico , Amato Francesco

Stochastic multi-agent systems are a central modeling framework for autonomous controllers, communication protocols, and cyber-physical infrastructures. In many such systems, however, transition probabilities are only estimated from data…

计算机科学中的逻辑 · 计算机科学 2026-02-17 Raphaël Berthon , Joost-Pieter Katoen , Munyque Mittelmann , Aniello Murano

In this study, we consider an optimal control problem driven by a stochastic differential system with a stopping time terminal cost functional. We establish the stochastic maximum principle for this new kind of an optimal control problem by…

最优化与控制 · 数学 2018-12-11 Shuzhen Yang

In this paper, we investigate the control of a cyber-physical system (CPS) while accounting for its vulnerability to external attacks. We formulate a constrained stochastic problem with a robust constraint to ensure robust operation against…

最优化与控制 · 数学 2024-07-18 Nishanth Venkatesh , Aditya Dave , Ioannis Faros , Andreas A. Malikopoulos