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Automated synthesis of provably correct controllers for cyber-physical systems is crucial for deployment in safety-critical scenarios. However, hybrid features and stochastic or unknown behaviours make this problem challenging. We propose a…

Systems and Control · Electrical Eng. & Systems 2023-08-07 Luke Rickard , Thom Badings , Licio Romao , Alessandro Abate

We study the synthesis of mode switching protocols for a class of discrete-time switched linear systems in which the mode jumps are governed by Markov decision processes (MDPs). We call such systems MDP-JLS for brevity. Each state of the…

Systems and Control · Electrical Eng. & Systems 2020-01-06 Bo Wu , Murat Cubuktepe , Franck Djeumou , Zhe Xu , Ufuk Topcu

Recently, policy optimization for control purposes has received renewed attention due to the increasing interest in reinforcement learning. In this paper, we investigate the global convergence of gradient-based policy optimization methods…

Optimization and Control · Mathematics 2020-11-25 Joao Paulo Jansch-Porto , Bin Hu , Geir Dullerud

Learning how to effectively control unknown dynamical systems is crucial for intelligent autonomous systems. This task becomes a significant challenge when the underlying dynamics are changing with time. Motivated by this challenge, this…

Machine Learning · Computer Science 2025-10-21 Yahya Sattar , Zhe Du , Davoud Ataee Tarzanagh , Laura Balzano , Necmiye Ozay , Samet Oymak

Owing to the growth of interest in Reinforcement Learning in the last few years, gradient based policy control methods have been gaining popularity for Control problems as well. And rightly so, since gradient policy methods have the…

Machine Learning · Computer Science 2021-12-01 Santanu Rathod , Manoj Bhadu , Abir De

Many applications -- including power systems, robotics, and economics -- involve a dynamical system interacting with a stochastic and hard-to-model environment. We adopt a reinforcement learning approach to control such systems.…

Optimization and Control · Mathematics 2025-08-26 Abed AlRahman Al Makdah , Oliver Kosut , Lalitha Sankar , Shaofeng Zou

This research paper introduces a model-free optimal controller for discrete-time Markovian jump linear systems (MJLSs), employing principles from the methodology of reinforcement learning (RL). While Q-learning methods have demonstrated…

Systems and Control · Electrical Eng. & Systems 2024-08-07 Ehsan Badfar , Babak Tavassoli

Recently, policy optimization for control purposes has received renewed attention due to the increasing interest in reinforcement learning. In this paper, we investigate the convergence of policy optimization for quadratic control of…

Optimization and Control · Mathematics 2020-02-12 Joao Paulo Jansch-Porto , Bin Hu , Geir Dullerud

Switched linear systems are time-varying nonlinear systems whose dynamics switch between different modes, where each mode corresponds to different linear dynamics. They arise naturally to model unexpected failures, environment uncertainties…

Optimization and Control · Mathematics 2019-04-26 Bo Wu , Murat Cubuktepe , Ufuk Topcu

Reinforcement learning (RL) is currently one of the most prominent methods for optimizing dynamical systems, with breakthrough results across various fields. The framework is based on the concept of a Markov decision process (MDP), leading…

Optimization and Control · Mathematics 2025-11-17 Rene Carmona , Mathieu Lauriere

We study a finite-horizon covariance steering problem for discrete-time Markov jump linear systems (MJLS) with both state- and control-dependent multiplicative noise. The objective is to minimize a quadratic running cost while steering the…

Optimization and Control · Mathematics 2026-04-23 Fangji Wang , Siddhartha Ganguly , Panagiotis Tsiotras

Incorporating pattern-learning for prediction (PLP) in many discrete-time or discrete-event systems allows for computation-efficient controller design by memorizing patterns to schedule control policies based on their future occurrences. In…

Systems and Control · Electrical Eng. & Systems 2023-05-10 SooJean Han , Soon-Jo Chung , John C. Doyle

We consider synthesis of control policies that maximize the probability of satisfying given temporal logic specifications in unknown, stochastic environments. We model the interaction between the system and its environment as a Markov…

Systems and Control · Computer Science 2014-05-01 Jie Fu , Ufuk Topcu

Markov decision processes (MDPs) are formal models commonly used in sequential decision-making. MDPs capture the stochasticity that may arise, for instance, from imprecise actuators via probabilities in the transition function. However, in…

Artificial Intelligence · Computer Science 2023-06-21 Marnix Suilen , Thiago D. Simão , David Parker , Nils Jansen

We develop a model-free approach to optimally control stochastic, Markovian systems subject to a reach-avoid constraint. Specifically, the state trajectory must remain within a safe set while reaching a target set within a finite time…

Optimization and Control · Mathematics 2025-09-30 Tingting Ni , Maryam Kamgarpour

The suspension regulation is critical to the operation of medium-low-speed maglev trains (mlsMTs). Due to uncertain environment, strong disturbances and high nonlinearity of the system dynamics, this problem cannot be well solved by most of…

Systems and Control · Electrical Eng. & Systems 2020-05-12 Feiran Zhao , Keyou You , Shiji Song , Wenyue Zhang , Laisheng Tong

We present a model-free reinforcement learning algorithm to find an optimal policy for a finite-horizon Markov decision process while guaranteeing a desired lower bound on the probability of satisfying a signal temporal logic (STL)…

Systems and Control · Electrical Eng. & Systems 2021-09-29 Krishna C. Kalagarla , Rahul Jain , Pierluigi Nuzzo

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…

Machine Learning · Computer Science 2025-12-24 Peter N. Loxley

In this paper, we study the stabilization of two interdependent Markov jump linear systems (MJLSs) with partial information, where the interdependency arises as the transition of the mode of one system depends on the states of the other…

Systems and Control · Electrical Eng. & Systems 2020-05-26 Guanze Peng , Juntao Chen , Quanyan Zhu

Learning a near optimal policy in a partially observable system remains an elusive challenge in contemporary reinforcement learning. In this work, we consider episodic reinforcement learning in a reward-mixing Markov decision process (MDP).…

Machine Learning · Computer Science 2022-02-01 Jeongyeol Kwon , Yonathan Efroni , Constantine Caramanis , Shie Mannor
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