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This paper is concerned with the linear quadratic optimal control of discrete-time time-varying system with terminal state constraint. The main contribution is to propose a Q-learning algorithm for the optimal controller when the…

Optimization and Control · Mathematics 2023-07-20 Juanjuan Xu , Jingmei Liu , Zhaorong Zhang , Wei Wang

We consider controller synthesis for stochastic and partially unknown environments in which safety is essential. Specifically, we abstract the problem as a Markov decision process in which the expected performance is measured using a cost…

Software Engineering · Computer Science 2015-10-21 Sebastian Junges , Nils Jansen , Christian Dehnert , Ufuk Topcu , Joost-Pieter Katoen

In this paper, we consider the notion of resilience of a dynamical system, defined by the maximum disturbance a controlled dynamical system can withstand while satisfying given temporal logic specifications. Given a dynamical system and a…

Systems and Control · Electrical Eng. & Systems 2025-09-10 Youssef Ait Si , Ratnangshu Das , Negar Monir , Sadegh Soudjani , Pushpak Jagtap , Adnane Saoud

Controller synthesis is the process of constructing a correct system automatically from its specification. This often requires assumptions about the behaviour of the environment. It is difficult for the designer to identify the assumptions…

Logic in Computer Science · Computer Science 2016-04-13 Romain Brenguier

This work investigates the formal policy synthesis of continuous-state stochastic dynamic systems given high-level specifications in linear temporal logic. To learn an optimal policy that maximizes the satisfaction probability, we take a…

Artificial Intelligence · Computer Science 2023-04-21 Lening Li , Zhentian Qian

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…

Systems and Control · Electrical Eng. & Systems 2020-11-09 Bhaskar Ramasubramanian , Luyao Niu , Andrew Clark , Linda Bushnell , Radha Poovendran

We present a computational framework for synthesis of distributed control strategies for a heterogeneous team of robots in a partially observable environment. The goal is to cooperatively satisfy specifications given as Truncated Linear…

Artificial Intelligence · Computer Science 2022-04-07 Ningyuan Zhang , Wenliang Liu , Calin Belta

Constructing good test cases is difficult and time-consuming, especially if the system under test is still under development and its exact behavior is not yet fixed. We propose a new approach to compute test strategies for reactive systems…

Software Engineering · Computer Science 2018-09-11 Roderick Bloem , Goerschwin Fey , Fabian Greif , Robert Koenighofer , Ingo Pill , Heinz Riener , Franz Roeck

In this paper, we present an approach for designing correct-by-design controllers for cyber-physical systems composed of multiple dynamically interconnected uncertain systems. We consider networked discrete-time uncertain nonlinear systems…

Systems and Control · Electrical Eng. & Systems 2023-09-06 Oliver Schön , Birgit van Huijgevoort , Sofie Haesaert , Sadegh Soudjani

We address the problem of synthesizing reactive controllers for cyber-physical systems subject to Signal Temporal Logic (STL) specifications in the presence of adversarial inputs. Given a finite horizon, we define a reactive hierarchy of…

In this paper, we present a novel algorithm named synchronous integral Q-learning, which is based on synchronous policy iteration, to solve the continuous-time infinite horizon optimal control problems of input-affine system dynamics. The…

Systems and Control · Electrical Eng. & Systems 2021-05-20 Lei Guo , Han Zhao

Constrained Reinforcement Learning (CRL) is a subset of machine learning that introduces constraints into the traditional reinforcement learning (RL) framework. Unlike conventional RL which aims solely to maximize cumulative rewards, CRL…

Artificial Intelligence · Computer Science 2024-12-02 Xiaoshan Lin , Sadık Bera Yüksel , Yasin Yazıcıoğlu , Derya Aksaray

In real-time and safety-critical cyber-physical systems (CPSs), control synthesis must guarantee that generated policies meet stringent timing and correctness requirements under uncertain and dynamic conditions. Signal temporal logic (STL)…

Artificial Intelligence · Computer Science 2025-10-10 Xiaochen Tang , Zhenya Zhang , Miaomiao Zhang , Jie An

The automatic synthesis of a policy through reinforcement learning (RL) from a given set of formal requirements depends on the construction of a reward signal and consists of the iterative application of many policy-improvement steps. The…

Machine Learning · Computer Science 2022-10-21 Luigi Berducci , Radu Grosu

Cyber-physical systems are conducting increasingly complex tasks, which are often modeled using formal languages such as temporal logic. The system's ability to perform the required tasks can be curtailed by malicious adversaries that mount…

Systems and Control · Computer Science 2019-07-25 Luyao Niu , Jie Fu , Andrew Clark

Autonomous systems often have logical constraints arising, for example, from safety, operational, or regulatory requirements. Such constraints can be expressed using temporal logic specifications. The system state is often partially…

Artificial Intelligence · Computer Science 2024-06-21 Krishna C. Kalagarla , Dhruva Kartik , Dongming Shen , Rahul Jain , Ashutosh Nayyar , Pierluigi Nuzzo

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

The field of quickest change detection (QCD) focuses on the design and analysis of online algorithms that estimate the time at which a significant event occurs. In this paper, design and analysis are cast in a Bayesian framework, where QCD…

Optimization and Control · Mathematics 2025-12-30 Austin Cooper , Sean Meyn

We exhibit optimal control strategies for a simple toy problem in which the underlying dynamics depend on a parameter that is initially unknown and must be learned. We consider a cost function posed over a finite time interval, in contrast…

Optimization and Control · Mathematics 2020-02-27 Charles L. Fefferman , Bernat Guillen Pegueroles , Clarence W. Rowley , Melanie Weber

Given a list of behaviors and associated parameterized controllers for solving different individual tasks, we study the problem of selecting an optimal sequence of coordinated behaviors in multi-robot systems for completing a given mission,…

Robotics · Computer Science 2019-09-16 Pietro Pierpaoli , Thinh T. Doan , Justin Romberg , Magnus Egerstedt