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We propose a comprehensive framework for policy gradient methods tailored to continuous time reinforcement learning. This is based on the connection between stochastic control problems and randomised problems, enabling applications across…

Optimization and Control · Mathematics 2024-05-01 Robert Denkert , Huyên Pham , Xavier Warin

In this paper, we consider the gradual-impulse control problem of continuous-time Markov decision processes, where the system performance is measured by the expectation of the exponential utility of the total cost. We prove, under very…

Optimization and Control · Mathematics 2023-11-16 Xin Guo , Aiko Kurushima , Alexey Piunovskiy , Yi Zhang

Non-smooth dynamics driven by stochastic disturbance arise in a wide variety of engineering problems. Impulsive interventions are often employed to control stochastic systems; however, the modeling and analysis subject to execution delay…

Optimization and Control · Mathematics 2021-01-19 Hidekazu Yoshioka , Yuta Yaegashi

This paper investigates a class of optimal control problems associated with Markov processes with local state information. The decision-maker has only local access to a subset of a state vector information as often encountered in…

Systems and Control · Electrical Eng. & Systems 2020-05-12 Guanze Peng , Veeraruna Kavitha , Qunayan Zhu

This paper considers optimal control of dynamical systems which are represented by nonlinear stochastic differential equations. It is well-known that the optimal control policy for this problem can be obtained as a function of a value…

Robotics · Computer Science 2014-05-30 Oktay Arslan , Evangelos Theodorou , Panagiotis Tsiotras

Suppose an online platform wants to compare a treatment and control policy, e.g., two different matching algorithms in a ridesharing system, or two different inventory management algorithms in an online retail site. Standard randomized…

Methodology · Statistics 2022-12-27 Peter Glynn , Ramesh Johari , Mohammad Rasouli

We study automated intrusion prevention using reinforcement learning. In a novel approach, we formulate the problem of intrusion prevention as an optimal stopping problem. This formulation allows us insight into the structure of the optimal…

Artificial Intelligence · Computer Science 2024-04-23 Kim Hammar , Rolf Stadler

In this paper, we consider a class of continuous-time, continuous-space stochastic optimal control problems. Building upon recent advances in Markov chain approximation methods and sampling-based algorithms for deterministic path planning,…

Robotics · Computer Science 2012-02-27 Vu Anh Huynh , Sertac Karaman , Emilio Frazzoli

Recent high-profile incidents have exposed security risks in control systems. Particularly important and safety-critical modules for security analysis are estimation and control (E&C). Prior works have analyzed the security of E&C for…

Systems and Control · Electrical Eng. & Systems 2023-01-02 R. Spencer Hallyburton , Amir Khazraei , Miroslav Pajic

This paper addresses the problem of distributed resilient state estimation and control for linear time-invariant systems in the presence of malicious false data injection sensor attacks and bounded noise. We consider a system operator…

Systems and Control · Electrical Eng. & Systems 2025-07-17 Takumi Shinohara , Karl H. Johansson , Henrik Sandberg

Recently, a theory for stochastic optimal control in non-linear dynamical systems in continuous space-time has been developed (Kappen, 2005). We apply this theory to collaborative multi-agent systems. The agents evolve according to a given…

Multiagent Systems · Computer Science 2012-07-02 Wim Wiegerinck , Bart van den Broek , Hilbert Kappen

We study the problem of detecting an attack on a stochastic cyber-physical system. We aim to treat the problem in its most general form. We start by introducing the notion of asymptotically detectable attacks, as those attacks introducing…

Systems and Control · Electrical Eng. & Systems 2021-03-05 Damián Marelli , Tianju Sui , Minyue Fu , Renquan Lu

This paper presents a novel approach for achieving safe stochastic optimal control in networked multi-agent systems (MASs). The proposed method incorporates barrier states (BaSs) into the system dynamics to embed safety constraints. To…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Lin Song , Pan Zhao , Neng Wan , Naira Hovakimyan

In this paper, we present an online reinforcement learning algorithm for constrained Markov decision processes with a safety constraint. Despite the necessary attention of the scientific community, considering stochastic stopping time, the…

Machine Learning · Computer Science 2024-03-26 Abhijit Mazumdar , Rafal Wisniewski , Manuela L. Bujorianu

We study the optimal design of stealthy attacks against partially observed linear control systems. We first propose a novel likelihood-based detection mechanism derived from the innovation process, based on which we quantify stealthiness…

Optimization and Control · Mathematics 2026-05-12 Haosheng Zhou , Ruimeng Hu

This paper concerns discrete-time infinite-horizon stochastic control systems with Borel state and action spaces and universally measurable policies. We study optimization problems on strategic measures induced by the policies in these…

Optimization and Control · Mathematics 2023-12-22 Huizhen Yu

Risk assessment is an inevitable step in implementation of a cyber-defense strategy. An important part of this assessment is to reason about the impact of possible attacks. In this paper, we propose a framework for estimating the impact of…

Systems and Control · Computer Science 2019-11-26 Jezdimir Milosevic , Henrik Sandberg , Karl Henrik Johansson

In this work, we derive optimal transmission policies in an energy harvesting status update system. The system monitors a stochastic process which can be either in a normal or in an alarm state of operation. We capture the freshness of…

Information Theory · Computer Science 2019-07-10 George Stamatakis , Nikolaos Pappas , Apostolos Traganitis

Detection of malicious behavior is a fundamental problem in security. One of the major challenges in using detection systems in practice is in dealing with an overwhelming number of alerts that are triggered by normal behavior (the…

Cryptography and Security · Computer Science 2019-06-24 Liang Tong , Aron Laszka , Chao Yan , Ning Zhang , Yevgeniy Vorobeychik

Continuous-time Markov decision processes are an important class of models in a wide range of applications, ranging from cyber-physical systems to synthetic biology. A central problem is how to devise a policy to control the system in order…

Systems and Control · Computer Science 2016-06-01 Ezio Bartocci , Luca Bortolussi , Tomǎš Brázdil , Dimitrios Milios , Guido Sanguinetti